Topics — What a work is about. Nucleation holds whatever reading the owner files here, whether or not an Anthology of the SOTA topic could also hold it; instruction for ML practice belongs to the anthology (ADR-048). The words are seeded from the clusters the reading-time triage of 2026-09-25 found, and grow by decision.
Thermodynamics — the second law and its extensions read for themselves — entropy and entropy production, irreversibility, nonequilibrium steady states and their stability, dissipative structures, fluctuation theorems and stochastic thermodynamics, and the thermodynamics of computation and of life (ADR-020).
46 of 2004 LIT documents. Back to the full index.
| # | Title | Summary | Status |
|---|---|---|---|
| LIT-010 v2 | Quantum Thermodynamics | Vinjanampathy & Anders (2015), ARXIV-1508.06099. A 2015–16 review with no new results, whose one synthesis (§5.2, §7) is that the field used four inequivalent notions of work: ensemble ⟨W⟩ = ∫tr[ρḢ]dt (Eq. 2), two-point-measurement W = E_m^(τ) − E_n^(0) (Eq. 24), ε-deterministic single-shot A^ε ≈ −kT ln(Z_Λ*/Z) (Eq. 49) and resource-theory w^max_ε = F^min_ε(ρ_S) − F(τ_S) (Eq. 50), of which only the last two coincide. It also judges that the field had “only made a small number of experimentally checkable predictions of new thermodynamic effects yet” (§7, p. 39). | Active — read in full 2026-09-25 (NOTE-011); still worth reading as a short, accessible tour of where quantum thermodynamics stood in 2015–16, especially §3 (fluctuation theorems derived in full) and §5 (single-shot and resource-theory second laws). It is a map of the field, not an authority. It is dated: nothing after early 2016. Some formulas are garbled as printed (Eq. 68, the operator-sum statement, the Diesel strokes), so cite the primary papers it points to rather than the review. |
| LIT-041 v2 | The Work Capacity of Channels with Memory: Maximum Extractable Work in Percept-Action Loops | Fiderer et al. (2025), ARXIV-2504.06209. The paper models agent and environment as coupled finite hidden-Markov channels. It defines the environment’s work capacity C_work = max over agent models of ⟨H(A_t|M_t) − H(S_t|M_t)⟩_t (in k_BT ln 2 per round) and proves two things. First, for unifilar environments whose percepts ignore actions, the efficient agents are exactly the randomize-and-forget ∩ maximally-predictive ones, and C_work = log|A| − h(S). Second, one binary memoryless environment exists where predictive, max-entropy-action and efficient agents form three nonempty, pairwise-disjoint sets: every predictive agent extracts ≤ 0, uniform-random agents extract 1 − h(3/4) ≈ 0.189 bits, and the optimum is ½·log₂(3/4 + 1/√2) ≈ 0.272 bits, reached by a memoryless agent that plays action 0 with probability 1/√2. | Active — read in full 2026-09-25 (NOTE-032); worth reading for anyone working on the thermodynamics of prediction or agency. It gives a clean, fully proved extension of the tape-setting results (Boyd–Mandal–Crutchfield 2018) to feedback loops, and a sharp counterexample to “prediction is necessary for efficiency”. Read it knowing that the headline “trade-off” is shown by one existence example, that the example’s optimum simply forgets everything, and that Table I prints the memoryless-channel capacity with its sign flipped. |
| LIT-082 v2 | Unification of observational entropy with maximum entropy principles | Schindler et al. (2025), ARXIV-2503.15612. The paper defines S^τ_M(ρ) = S(τ) − D_M(ρ‖τ) = −Σ_x p_x log(p_x/V_x), with V_x = Tr(τM_x)e^{S(τ)} (Eqs. 10–12). It is bounded as S(τ) ≥ S^τ_M(ρ) ≥ S(ρ) when ρ obeys the constraint S(ρ;τ) ≤ S(τ) (Eqs. 17–18). It reduces to 24 listed entropies, and it removes traditional observational entropy’s infinite-dimensional pathologies whenever S(τ) < ∞ (§VIII.7). Its “second laws” are bounds D_M(ρ̄‖τ) ≤ ε on the time-averaged state, split as equilibration plus prior-fit (Eq. 27). The paper proves the first term small in two regimes (Eqs. 28–29) and the second only under the ETH (Eq. 31). It states that in its own numerical examples the smallness “was [not] proved here analytically” (p. 12). | Active — read in full 2026-09-25 (NOTE-043); worth reading as the reference definition of prior-generalised observational entropy and for its catalogue of special cases (§V, Table II). The unification is definitional and its bounds are correct. The second-law programme is a framework plus partial sufficient conditions, not a proved second law for any concrete system. |
| LIT-114 v2 | Philosophy of Statistical Mechanics | Frigg & Werndl (2023), https://plato.stanford.edu/entries/statphys-statmech/. The entry argues that statistical mechanics has no canonical formalism but three umbrellas — Boltzmannian SM, the Boltzmann Equation and Gibbsian SM — and that every live account of the approach to equilibrium (ergodic, typicality, Mentaculus, long-run residence time, coarse-graining, interventionist, epistemic) survives Loschmidt’s and Zermelo’s objections only by giving up strict irreversibility or adding something outside the isolated dynamics; it closes on the unresolved “schism” that physicists compute in GSM while philosophers explain in BSM. | Active — read in full 2026-09-26 (NOTE-103); worth reading as the current authoritative map of the foundations of SM, with the caveat that it is written by two partisans who present their own long-run residence time account (§4.7) and their “BSM fundamental, GSM effective” view (§6.7) alongside the rivals. |
| LIT-308 v2 | Stochastic Thermodynamics of Learning | Goldt & Seifert (2017), DOI-10.1103/PhysRevLett.118.010601. For a perceptron whose weights follow overdamped Langevin dynamics and whose predicted labels are fast two-state processes, the information learnt about fixed random labels is bounded by the weights’ total entropy production: Σ_μ I(σ_T^μ:σ^μ) ≤ Σ_n [ΔS(ω_n) + ΔQ_n] (Eq. 16, k_B = T = 1). This defines a learning efficiency η ≤ 1. The cost side includes the change in the weights’ own Shannon entropy, and in the paper’s toy model η → 0.99 as the heat ΔQ → 0 (slow driving). So the bound is not a heat floor of k_BT ln 2 per bit learnt. | Active — read in full 2026-09-29 (NOTE-296); worth reading as the founding letter of the “stochastic thermodynamics of learning” line, and as the precise statement of what learning costs in that framework: entropy production, of which heat is only one part. Read the main-text claim “for arbitrary learning algorithm … at all times” alongside its supplement. The derivation uses a γ ≫ 1 (fast-label) limit and a weight-independence step that holds for batch but is not argued for online learning. |
| LIT-327 v2 | Thermodynamics of Prediction | Still et al. (2012), DOI-10.1103/PhysRevLett.109.120604. For a system driven by a stochastic signal through a fixed Markov kernel, the average work dissipated as the signal steps x_t → x_{t+1} equals, in units of k_BT, the system’s instantaneous nonpredictive information, I[s_t;x_t] − I[s_t;x_{t+1}] (Eq. 14). Summed over a protocol, this total “nostalgia” lower-bounds dissipation and excess work (Eq. 18), and it adds to Landauer’s bound: −β⟨Q⟩ ≥ I_e + I_mem − I_pred (Eq. 21). All three are averages over paths and protocols. None of them is a per-operation or per-bit floor on the cost of storing or using predictive information. | Active — read in full 2026-09-29 (NOTE-295); worth reading as the short, exact source of “memory that does not predict costs dissipation” and of the nostalgia-augmented Landauer bound. Read it knowing three things. The bound prices only the nonpredictive part of memory. The nonnegativity of the per-step nostalgia needs a Markov drive, which the paper does not say. And nothing in it supplies a k_BT ln 2 floor per judgment. |
| LIT-328 v3 | Irreversibility and Heat Generation in the Computing Process | Landauer (1961), DOI-10.1147/rd.53.0183. Argues that logically irreversible operations (e.g. erasure) in computation must dissipate at least about kT ln 2 of heat per bit, tying the thermodynamic cost of computing to information loss. | Unavailable — seeded 2026-09-29 from metadata and published descriptions, not read: registered because the owner’s prior-art novelty map cites it. A close reading was attempted on 2026-09-29 and no legitimate full text could be reached; it stays Unavailable until a copy is supplied. |
| LIT-360 v2 | Notes on Landauer’s principle, reversible computation, and Maxwell’s Demon | Bennett (2002), arXiv:physics/0210005. Bennett states Landauer’s principle as a consequence of the Second Law. A logically irreversible step, meaning erasure or a merge of control flow, must export at least the lost entropy (k ln 2 per bit) to non-information-bearing degrees of freedom. That export need not take the form of heat (p. 1). Logically reversible operations, including copying onto a blank register and measurement, have no minimum cost. He calls “an intrinsic cost of order kT for every elementary act of information processing” a 20th-century “misconception” (pp. 5–6). Erasing random data can itself be thermodynamically reversible; the waste comes from applying a many-to-one operation to known data (pp. 1, 4). | Active — read in full 2026-09-29 (NOTE-310); Worth reading as a short, first-hand statement, by the principle’s main defender, of what Landauer’s principle requires (logical irreversibility) and what it does not (any cost for acquiring, copying or evaluating information). It is the best reachable stand-in for the unreachable LIT-328. Read it knowing that it is an argued position paper, not a derivation. On the Earman–Norton “unnecessary or insufficient” dilemma Bennett concedes the point “with some justice” (p. 5) and defends the principle only as pedagogy. |
| LIT-515 | Statistical physics of self-replication | England (2012; J. Chem. Phys. 2013), arXiv:1209.1179. For a system in a heat bath obeying detailed balance, a transition between coarse-grained ensembles I → II obeys β⟨ΔQ⟩ + ln π(II→I) + ΔS_int ≥ 0 (Eq. 6), a second law stated for macrostates. Applied to self-replication, the reverse probability is small when the copy is durable and made fast, so the heat released per copy is bounded below by about 2n ln(n τ_decay/τ_div) − ΔS_int (Eq. 8). The author’s estimates put E. coli within a factor of three of this bound and a self-replicating RNA near it. The “self” in self-replication is an observer’s classification of microstates, not a physical given. | Active — read in full 2026-10-02 (NOTE-419), from arXiv v1, the only arXiv version; the published J. Chem. Phys. text was not reached. Worth reading as the founding paper of the “dissipation-driven” programme and as a clean worked use of a macrostate fluctuation relation: the heat a replicator must release is bounded below by how fast it copies and how durable the copy is, not by the copying itself. The general bound (Eq. 6) is a coarse-grained second law and is sound; the numbers for E. coli and RNA rest on an argued, not derived, upper bound on the reverse probability (Eq. 7). It draws no line between living and non-living replicators, and says so: “self” is a classification an observer supplies. |
| LIT-516 | Time, Structure and Fluctuations | Prigogine (1977), Nobel Lecture, reprinted in Science 201:777 (1978). Near equilibrium the second-order excess entropy δ²S is a Lyapounov function, so fluctuations die out, and in the “strictly” linear regime the steady state minimizes entropy production. Far from equilibrium the sign of the excess entropy production ΣδJδX is no longer fixed. Given autocatalytic steps (necessary, not sufficient) the thermodynamic branch can go unstable, and fluctuations are amplified into “dissipative structures”: Bénard convection, the Brusselator’s limit cycle and “Turing bifurcation”. A closing programme derives irreversibility from a non-unitary transformation of the Liouville dynamics. | Active — read in full 2026-10-02 (NOTE-424); worth reading as Prigogine’s own short statement of the dissipative-structure programme, and as the place where its scope limits are stated in his words. A dissipative structure is a state beyond an instability of the “thermodynamic branch”, “a giant fluctuation stabilized by exchanges of energy with the outside world”. The minimum-entropy-production theorem is valid only in the “strictly” linear regime with constant phenomenological coefficients. Far from equilibrium the only general criterion offered is a sufficient one for stability (non-negative excess entropy production). Its §§6–7 programme of a non-unitary “entropy operator” is a sketch whose demonstrated link to macroscopic thermodynamics is, by its own account, “at least in the linear region”. |
| LIT-517 | Nonequilibrium Equality for Free Energy Differences | Jarzynski (1997), DOI-10.1103/PhysRevLett.78.2690. For a classical system that starts in canonical equilibrium and is switched from Hamiltonian H_0 to H_1 at any finite rate, the average of e^{−βW} over repetitions equals e^{−βΔF} (Eq. 2), whatever the path and the switching time. The proof is exact for an isolated system and for Nosé–Hoover thermostats, and needs weak coupling for a physical reservoir. Thermodynamic integration and the Zwanzig perturbation formula are its slow and fast limits, and ⟨W⟩ ≥ ΔF follows by Jensen. | Active — read in full 2026-10-02 (NOTE-417); worth reading as the four-page origin of the nonequilibrium work relation ⟨e^{−βW}⟩ = e^{−βΔF}: an equality, independent of path and switching rate, that turns irreversible work measurements into an equilibrium free-energy difference and gives ⟨W⟩ ≥ ΔF as a corollary by Jensen. Read it knowing two things. The physical-reservoir proof rests on weak coupling (Eq. 9 → 10), which the author states; and its usefulness is limited by the author’s own estimate to work fluctuations of order k_BT, so nanoscale systems or simulations. |
| LIT-518 | Statistical Physics of Adaptation | Perunov, Marsland & England (2014; Phys. Rev. X 2016), arXiv:1412.1875. Starting from a fluctuation relation between coarse-grained macrostates, the paper writes the log-odds of two outcomes of a driven system as an internal-entropy term, a reversal-probability term and Ψ − Φ, the mean heat minus a fluctuation correction (Eq. 8). Holding the first two fixed, the more likely outcome is the one whose formation absorbed and dissipated work from the drive more reliably. It calls such outcomes “adapted” and argues the tendency needs no self-replication. Two single-particle hopping models illustrate the dissipation and fluctuation terms (Eqs. 10–13); the many-body case is a plausibility argument. | Active — read in full 2026-10-02 (NOTE-416), from arXiv v1, the only arXiv version; the published Physical Review X text was not reached. Worth reading as the origin of “dissipative adaptation”: the claim that driven matter tends towards states whose formation absorbed and dissipated work reliably, with no replication needed. Read it as a heuristic argument with two toy models, not a theorem. Its exact content is a rearranged macrostate fluctuation relation; the step to “adaptation” holds two terms fixed that it does not show can be held fixed in a many-body system, and the simulation it reports was not shown. It deliberately erases the line between living and non-living organization. |
| LIT-519 | Nonequilibrium thermodynamics and maximum entropy production in the Earth system | Kleidon (2009), DOI-10.1007/s00114-009-0509-x. A review of MEP in the Earth system. MEP is the proposed principle that a system with enough degrees of freedom adopts the steady state of maximum entropy production. It selects among steady states, where Prigogine’s principle only describes relaxation toward one. Box models show the flux–force trade-off that gives an MEP state. The review estimates the Earth’s entropy budget, which is dominated by absorption of sunlight. It surveys MEP fits for atmosphere, ocean, mantle, hydrology and biota, and proposes that life drives the planet toward MEP, a thermodynamic reading of Gaia. The author grants that MEP is not established. | Active — read in full 2026-10-02 (NOTE-423); worth reading as the clearest statement of the maximum-entropy-production (MEP) programme in Earth-system science by its main advocate: what MEP claims, how it differs from Prigogine’s minimum principle (minimum entropy production describes relaxation toward a steady state; MEP selects among possible steady states), an order-of-magnitude entropy budget of the Earth, a survey of climate, ocean, mantle and biotic MEP applications, and the extension to life and Gaia. Read it as advocacy that is candid about its footing: the author calls MEP “proposed” and says “no one would argue that MEP is well established”. Chosen over the Kleidon–Lorenz 2005 book, which has no lawful open text. |
| LIT-520 v2 | Maximum entropy production principle in physics, chemistry and biology | Martyushev & Seleznev (2006), DOI-10.1016/j.physrep.2005.12.001. A 45-page Physics Reports review of the maximum entropy production principle (MEPP) across physics, chemistry and biology. Kleidon (2009) cites it as the review of MEP’s physical foundation. Semantic Scholar’s machine-generated summary says it analyses the principle’s thermodynamic and statistical basis, including its relation to the second law and to Prigogine’s principle. Unread: no text or abstract reached. | Unavailable — seeded 2026-10-02 from Crossref metadata and citing works, not read: no lawful full text or publisher abstract could be reached (Physics Reports, closed; Semantic Scholar and OpenAlex list no open copy, and the abstract is elided by the publisher). Filed because it is the main survey of the maximum-entropy-production principle and of its relation to Prigogine’s minimum principle; it stays Unavailable until a copy is supplied. |
| LIT-521 | Information theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in non-equilibrium stationary states | Dewar (2003), DOI-10.1088/0305-4470/36/3/303. It applies Jaynes’s maximum-entropy inference to the microscopic paths of an open system in a stationary state. Under fixed initial densities and boundary fluxes plus local conservation, the path distribution is p_Γ ∝ exp(A_Γ), with A_Γ carrying τσ_Γ/2k_B (Eq. 14). A fluctuation theorem and ⟨σ⟩ ≥ 0 follow (Eqs. 18–21). Then, in a mean-field approximation and assuming the number of paths increases with irreversible action, maximizing path entropy over the remaining multipliers is maximizing mean entropy production (MaxEP, Eq. 24). A Landau–Ginzburg argument claims self-organized criticality as slow driving goes to zero. | Active — read in full 2026-10-02 (NOTE-426); worth reading as the founding attempt to derive the maximum-entropy-production principle (MaxEP) from Jaynes’s maximum-entropy inference over microscopic paths, and as the source most later MEP work, Kleidon’s included, cites for MEP’s theoretical foundation. Read it as a programme, not a proof. The path distribution p_Γ ∝ exp(A_Γ) and its fluctuation theorem follow from the stated constraints. The MaxEP step needs a mean-field approximation and an assumption that the number of paths grows with their irreversible action, which is stated, not argued. The self-organized-criticality corollary is a mean-field artefact by Grinstein and Linsker’s analysis (LIT-525), which this reading confirms. |
| LIT-522 | Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences | Crooks (1999), DOI-10.1103/PhysRevE.60.2721. For finite classical systems with stochastic, Markovian, microscopically reversible dynamics, the entropy production ω of a forward process and of its time reverse satisfy P_F(+ω)/P_R(−ω) = e^{ω} for any finite time, provided ω is odd under reversal. That holds for processes that start and end in equilibrium, where ω = β(W − ΔF), and for time-symmetric nonequilibrium steady states. The Jarzynski equality follows in one line, and for long times the theorem gives a heat fluctuation theorem and a Gaussian with variance twice the mean. | Active — read in full 2026-10-02 (NOTE-413); worth reading as the short paper that turned the entropy-production fluctuation theorem into a finite-time, trajectory-level statement for stochastic, microscopically reversible dynamics, P_F(+ω)/P_R(−ω) = e^{ω}, and derived the Jarzynski equality from it in a line. It also defines the trajectory entropy production ω = ln ρ(x_{−τ}) − ln ρ(x_{+τ}) − βQ that the record’s stochastic-thermodynamics papers inherit. Read it knowing that its conditions are stated exactly (finite classical system, constant-intensive-parameter baths, Markovian microscopically reversible dynamics, ω odd under time reversal), and that the steady-state version is formally exact but, by the author’s own account, of little practical use. |
| LIT-523 | Stochastic thermodynamics, fluctuation theorems and molecular machines | Seifert (2012), DOI-10.1088/0034-4885/75/12/126001. A 105-page review of stochastic thermodynamics. Work, heat and a stochastic system entropy s = −ln p(x(τ),τ) are defined along single trajectories of Markovian systems coupled to baths, and every known integral, detailed and Crooks fluctuation theorem is derived from one master theorem by choosing a conjugate dynamics. Further results: dissipation bounds forward–reverse distinguishability (⟨w⟩ − ΔF ≥ D[p‖p_eq]), Sagawa–Ueda feedback relations, a NESS fluctuation–dissipation theorem in terms of entropy production, and a cycle-based theory of efficiency at maximum power for molecular machines. | Active — read 2026-10-02 (NOTE-420; §§5, 8.3–8.4, 9.2 and 11 skimmed); worth reading as the systematic reference for stochastic thermodynamics as of 2012: first law, heat and stochastic entropy along single trajectories of Markovian systems coupled to baths, every known fluctuation theorem derived from one master theorem with a conjugate dynamics, dissipation as distinguishability of forward and reverse paths, Sagawa–Ueda feedback, the NESS fluctuation–dissipation theorem and efficiency of molecular machines. It is the framework in which the record’s thermodynamics-of-prediction and thermodynamics-of-learning results (LIT-327, LIT-308) are stated. Read it as a review: the derivations are its own and concise, the case studies are reported. |
| LIT-524 v2 | Self-Organization in Nonequilibrium Systems: From Dissipative Structures to Order through Fluctuations | Nicolis & Prigogine (1977), Wiley-Interscience. The Brussels school’s monograph on self-organization far from equilibrium, from the thermodynamics and bifurcation theory of dissipative structures to their stochastic theory (“order through fluctuations”). The Nobel lecture cites its ch. VII for the Brusselator and the book for its catalogue of chemical and biological examples. Unread: filed from catalogue records only. | Unavailable — filed 2026-10-02 from library catalogue records; no lawful full text was reachable (the book is in copyright, the Internet Archive scan is a lending-only copy, HathiTrust is search-only, and no publisher description or table of contents was found), so it is not read and no NOTE is filed. It is the Brussels school’s book-length treatment of dissipative structures and “order through fluctuations”, and the source the Nobel lecture (LIT-516) gives for the Brusselator; what it contains beyond that is not recorded here. |
| LIT-525 | Comments on a derivation and application of the ‘maximum entropy production’ principle | Grinstein & Linsker (2007), DOI-10.1088/1751-8113/40/31/N01. A Comment with two points. (1) Dewar’s 2005 derivation of MaxEP needs a quadratic approximation to p(f) near f = F to hold for all f. With the fluctuation theorem, that forces A(F) to be constant, i.e. linear constitutive relations. So the “orthogonality condition” behind both maximum and minimum entropy production fails far from equilibrium, as an exact spin-chain model shows. (2) Dewar’s 2003 SOC result is an artefact. Keeping the quartic term gives a finite flux variance at F_ext = 0. | Active — read in full 2026-10-02 (NOTE-422); worth reading as the short, exact critique of Dewar’s information-theoretic derivation of maximum entropy production. It shows that the 2005 derivation’s key step holds only where the constitutive relations are linear, so MaxEP far from equilibrium is not established by it, and that the 2003 claim that MaxEP yields self-organized criticality is an artefact of a mean-field expansion. Read from the authors’ submitted manuscript (Zenodo); the version of record was not seen. Its first point is checked here only on its own worked example, since Dewar 2005 itself could not be read. |
| LIT-527 | Pattern formation outside of equilibrium | Cross & Hohenberg (1993), DOI-10.1103/RevModPhys.65.851. A 262-page review classifying non-equilibrium patterns by the linear instability of a uniform state: type I_s (finite wave-number, stationary: convection rolls, Turing patterns), III_o (uniform oscillation: the stirred BZ reaction) and I_o (travelling waves). Near threshold, universal amplitude equations describe them, and phase equations describe them further above it. It finds no general variational principle for non-equilibrium steady states, only perturbative ones near threshold. | Active — skimmed 2026-10-02 (NOTE-418), about 30 of 262 pages read closely; worth reading as the physicists’ standard account of pattern formation away from equilibrium, and as the sober counterweight to the dissipative-structure programme. It treats Rayleigh–Bénard convection, Turing patterns and the BZ reaction in one framework, classifying patterns by the linear instability of a uniform state and describing them near onset by universal amplitude equations. Its conclusion finds “no evidence for the existence of any global minimization principles controlling the structure, except as a perturbative statement near threshold”, and quotes Glansdorff and Prigogine conceding as much. |
| LIT-528 | Energy flow and the organization of life | Morowitz & Smith (2006 working paper; Complexity 2007). Life may be forced into existence by abiotic free-energy sources, as lightning and hurricanes are channels that relieve electric and thermal potentials. Core anabolism, the reductive citric-acid cycle and the cascade built on it, is read as a relaxation channel for geochemical redox and phosphate energy. Jaynes-style entropy maximization with current-dependent entropies (not entropy-production principles) is offered as the framework, and the emergence of life as a “collapse”, a phase transition of a metastable abiotic earth. Selection on metabolism comes before replication. No quantitative model is given; the authors say the claim is undemonstrated. | Active — read in full 2026-10-02 (NOTE-425), from the Santa Fe Institute working paper (2006-08-029, dated 7 August 2006), not the Complexity version of record. Filed in place of Morowitz’s 1968 book Energy Flow in Biology, which could not be read: every Internet Archive scan of it is lending-only. Worth reading as a short statement of the “life was inevitable” view by Morowitz and Smith: core metabolism, the reductive citric-acid cycle, is a channel geochemistry was forced to open to relieve free-energy stresses, as lightning relieves a charge separation. It is an essay. It says itself that the claim “has not been quantitatively demonstrated”, and its evidence is the structure of core metabolism read in that light. It puts life on a continuum with lightning and hurricanes and draws no principled line. |
| LIT-530 v2 | What Is Life? The Physical Aspect of the Living Cell | Schrödinger (1944), Cambridge University Press. Lectures given at Trinity College Dublin in February 1943, published as a short book for the lay reader. It asks how events inside a living organism can be accounted for by physics and chemistry. It treats the gene as an “aperiodic crystal” carrying a code-script, defended through the Delbrück model, and in chapter 6 says an organism keeps its order by drawing “order from order” and by feeding on negative entropy from its surroundings. Unread: registered from the publisher’s description and contents; the text itself was not reached. | Unavailable — registered 2026-10-02 from the publisher’s description, the Cambridge Core contents and chapter excerpts, and library catalogue records, not read: no lawful full text could be reached. The book is in copyright with Cambridge University Press. Every Internet Archive scan of a Cambridge or Macmillan printing is lending-only, and the freely downloadable PDFs that turn up (course sites, personal uploads, Internet Archive “opensource” uploads) are unauthorized copies of the Canto edition, so I did not open them. Chapter 6, the negative-entropy chapter, is unread beyond the publisher’s one-paragraph excerpt. |
| LIT-532 v2 | Inadequacy of entropy and entropy derivatives in characterizing the steady state | Landauer (1975), DOI-10.1103/PhysRevA.12.636. Per its abstract: in a bistable system the kinetics of transitions between the two locally stable states can be changed without changing the behaviour near either state, so no quantity that characterises only the vicinity of the states can determine which is more probable. Separately, even a monostable linear circuit’s steady state need not be one of minimum entropy production. Unread: filed from the abstract. | Unavailable — seeded 2026-10-02 from its abstract and Crossref metadata, not read: no lawful full text could be reached (Physical Review A, closed; Semantic Scholar and OpenAlex list no open copy). Filed because it is the classic objection to entropy-based characterisations of nonequilibrium steady states, Prigogine’s minimum principle among them; it stays Unavailable until a copy is supplied. |
| LIT-533 | Life as a manifestation of the second law of thermodynamics | Schneider & Kay (1994), Math. Comput. Modelling 19(6–8):25–48. A “restated second law”: systems moved from equilibrium “utilize all avenues available to counter the applied gradients”. Bénard convection and a vortex draining a bottle are read as structures that destroy gradients faster. Life is “another means of dissipating the solar induced gradient” (living systems as “sophisticated mini-tornados, with a memory”), and ecosystems develop to degrade more incoming exergy. A stressed marsh shows smaller flows and fewer cycles; airborne thermal scans show mature forests cooler (degrading 90% of net solar radiation against a quarry’s 62%). The second law is “necessary but not sufficient” for life. | Active — read in full 2026-10-02 (NOTE-415), from the authors’ own formatted text (copyright line “James J. Kay and Eric Schneider, 1992”), not the journal’s typeset version. Worth reading as the canonical statement of the “gradient-dissipation” view of life: living systems and ecosystems are dissipative structures that develop so as to degrade the solar gradient more completely, and the second law is “a necessary but not sufficient cause for life”. Read the thermodynamics as a programme, not a derivation. The “restated second law” is offered as a corollary of Kestin’s stability result but not derived from it. The ecological evidence is one stressed-versus-control marsh pair and a few thermal-scanner and satellite comparisons, all correlational. It draws no line between living and non-living dissipative structures beyond “memory” (DNA). |
| LIT-537 v2 | Thermodynamic Theory of Structure, Stability and Fluctuations | Glansdorff & Prigogine (1971), Wiley-Interscience. The monograph of the Brussels thermodynamic stability theory. By the Nobel lecture’s citations, it treats local equilibrium (ch. II), the second-order excess entropy δ²S as a Lyapounov function near equilibrium (ch. V), and the excess-entropy-production criterion far from equilibrium, including convection (ch. VII). Unread: filed from catalogue records only. | Unavailable — filed 2026-10-02 from library catalogue records; no lawful full text was reachable (the book is in copyright, the Internet Archive scan is a lending-only copy, HathiTrust is search-only, and no publisher description or table of contents was found), so it is not read and no NOTE is filed. It is the monograph in which Glansdorff and Prigogine set out the thermodynamic stability theory that the Nobel lecture (LIT-516) summarizes; what it contains beyond what the lecture and Cross & Hohenberg cite from it is not recorded here. |
| LIT-570 | An Organizational Account of Biological Functions | Mossio, Saborido & Moreno (2009), BJPS 60(4):813–841. A trait has a function iff it contributes to the maintenance of a self-maintaining organization, is produced and maintained under that organization’s constraints, and the organization is differentiated. Closure grounds teleology and normativity in the current system, unifying etiological and dispositional accounts. Flames, Bénard cells and hurricanes have closure but no functions, because each makes a single undifferentiated contribution to its own maintenance. | Active — read in full 2026-10-03 (NOTE-444), from the HAL deposit of the submitted version. Worth reading as the organizational account of function and as the place where the organizational school says plainly that a candle flame has closure. Functions are contributions to a differentiated self-maintaining organization by traits that organization produces and maintains. Closure alone grounds teleology and norms but is shared by flames, Bénard cells and hurricanes; organizational differentiation is what functions need. Reproduction is admitted to be a problem and left to a sketch. |
| LIT-582 | Biological organisation as closure of constraints | Montévil & Mossio (2015), J. Theor. Biol. 372:179–191. Two causal regimes act in organisms: processes (thermodynamic changes) and constraints, which act on processes while being conserved at the relevant time scale. Closure is mutual dependence among constraints: each is produced by a process another constraint constrains, and each helps produce another. Closure mixes slow and fast dependence, grounds functions, and is proposed as a boundary criterion. A volume-sweeping count of dependencies, the tendency to closure, separates symbionts that share an encompassing closure, and separated nested closures mark levels of organisation. | Active — read in full 2026-10-03 (NOTE-468), from the authors’ HAL deposit of the accepted text. Worth reading as the paper statement of the central claim of Biological Autonomy (LIT-536): biological organisation is closure of constraints. A constraint is defined by a symmetry: it acts on a process at a time scale at which it is itself conserved. Closure is a set of constraints each of which depends directly on another in the set and generates another, and cannot be split into two closed sets. The paper offers closure as a boundary criterion and gives a preliminary measure, the tendency to closure, for drawing boundaries between interacting organisms. It does not claim closure defines an organism. |
| LIT-913 v2 | On the Concept of Coordinative Structures as Dissipative Structures: I. Theoretical Lines of Convergence | Kugler, Kelso & Turvey (1980), in Stelmach & Requin (eds.), Tutorials in Motor Behavior, pp. 3–47. Coordinative structures, the functional units that solve Bernstein’s degrees-of-freedom problem, are proposed to be dissipative structures, self-organizing under energy flow, rather than units assembled by a controller. Unread. | Unavailable — looked for a lawful full text on 2026-10-14 and found none, so it is not read and no NOTE is filed. Unpaywall: closed. OpenAlex: closed, one location (doi.org), no repository full text. Semantic Scholar: closed. Europe PMC: no record. ScienceDirect: the chapter page returned 403 to this client, and OpenAlex and Unpaywall record the chapter as closed, so no free publisher copy is known to exist. Kelso’s Human Brain and Behavior Laboratory publication list at Florida Atlantic University (ccs.fau.edu/hbblab/publications.php) lists this chapter and Part II with no PDF. The old Haskins Laboratories publication pages (haskinslabs.org/publications) now redirect to a new site with no listing, and a Wayback Machine search for a Haskins-hosted copy failed on access, not availability (connection reset), so an archived lab copy is not ruled out. Web searches on the title in quotes, with and without Haskins, found no author-posted copy. It stays Unavailable until a copy is supplied. |
| LIT-919 v2 | Nucleation | Vekilov (2010), Cryst. Growth Des. 10, 5007. For lysozyme, nucleation rates are about ten orders of magnitude below the classical prediction, and the paper places the error in the prefactor. It explains this by a solution–crystal spinodal, past which the barrier vanishes, and by two-step nucleation inside metastable dense-liquid clusters, where ordering is the slow step. The mechanism is inferred from a fitted model for one protein. | Active — read in full 2026-10-11 (NOTE-708), from the NIHPA author manuscript at PMC2995260; worth reading as the line’s one clear statement, in a single paper, of classical nucleation theory (n* = 64Ω²α³/Δμ³, ΔG* = 32Ω²α³/Δμ²), of where it fails, and of the two things the author puts beside it: a solution–crystal spinodal, past which the nucleus is one molecule and there is no barrier, and the two-step mechanism, in which crystals nucleate inside metastable dense-liquid clusters that form fast, so that ordering inside them is the slow step. Read the sections on the nucleus size and spinodal, the two-step rate law, and the rate-determining step. The quantitative case is one protein, lysozyme. For metastable clusters the mechanism is inferred from a fitted kinetic model, not observed, and the claim that substrates act on the prefactor rather than the barrier is argued, not measured. It complicates CLAIM-176: the physical threshold is a size that moves with supersaturation and vanishes near the spinodal, not a fixed count. |
| LIT-920 v2 | Studien über die Bildung und Umwandlung fester Körper. 1. Abhandlung: Übersättigung und Überkaltung | Ostwald (1897), Z. Phys. Chem. 22, 289. Measures how small a seed can be (about 10⁻⁹–10⁻¹² g) and shows that only the solid itself or a strictly isomorphous solid seeds; separates metastable states (change only on contact with the new phase) from labile ones (spontaneous change); and states the rule later called the rule of stages: on leaving a state spontaneously, the form reached is the nearest in free energy, not the most stable. Offered as a frequent rule, not a law. | Active — read in full 2026-10-11 (NOTE-709), in German, from the public-domain scan of the volume at the Internet Archive; worth reading as the primary source of the rule later called the rule of stages, and of the metastable/labile distinction. Read §§26–41 (pp. 301–313): the definitions on p. 302, the rule on pp. 306–307 (“nicht der … stabilste …, sondern der nächstliegende”), and the conditional on p. 308 that a metastable intermediate stays until seeded unless it is labile with respect to the next form. Ostwald offers it “not as a law” but as “a frequently applicable rule” (p. 308), from a handful of cases and an analogy with the liquid–vapour isotherm, and absorbs exceptions by assuming unseen intermediates, a move he calls questionable (p. 309). Most of the paper measures seeds: only the solid or a strictly isomorphous solid seeds, down to about 10⁻⁹–10⁻¹² g. It supports the narrowed form of CLAIM-181 within the metastable zone, gives CLAIM-176 no support for a count threshold, and does not support reading the thesis sequence as successive metastable forms. |
| LIT-924 v3 | Principles of Crystal Nucleation and Growth | De Yoreo & Vekilov (2003), Rev. Mineral. Geochem. 54, 57. A review of classical nucleation theory and of crystal growth at surfaces: the critical nucleus, the barrier set by surface against bulk free energy, and how both depend on supersaturation. Not read. | Unavailable — filed 2026-10-11 from its Crossref record, not read. Registered at the owner’s request for the nucleating-argument line, on what it is standardly cited for. No NOTE is filed, and it stays Unavailable until it is read, not on merit. Looked for on 2026-10-11: Unpaywall reports no open-access copy for the DOI, and Europe PMC holds no full text, so no lawful full text was found. |
| LIT-947 v2 | Unravelling the Flow of Information in a Nonequilibrium Process in the Presence of Hydrodynamic Interactions | Das et al. (2025). Two colloidal particles in optical traps are coupled by the fluid through a symmetric tensor, and the trap of one is moved by recorded Ornstein–Uhlenbeck noise. Mutual information, time-delayed mutual information and transfer entropy, estimated from experimental and simulated trajectories, recover drive → driven particle → other particle. They show backflow between the particles at the measured drive strengths, and one-way flow at strong drive in simulation only. Stronger coupling lowers the information the driven particle shares with the drive and raises what the particles share, in parallel with a reported trend of irreversibility under coarse-graining. Without drive the particles are statistically independent. | Active — read 2026-10-14 (NOTE-788) in full; worth reading as a clean experimental benchmark for directional information measures: two colloids, symmetrically coupled by the fluid, one trap moved by recorded noise, with transfer entropy and time-delayed mutual information recovering drive → driven → other particle. Read it knowing that the drive acts on one particle and is recorded, so the measures locate where a drive enters; they do not tell a shared drive from coupling, and the direction they report changes with drive strength while the coupling stays symmetric. Held for QUESTION-063 as a limit on what such measures can see, in THEORY-275. |
| LIT-1011 | The Limiting Dynamics of SGD: Modified Loss, Phase Space Oscillations, and Anomalous Diffusion | Kunin, Sagastuy-Brena, Gillespie, Margalit, Tanaka, Ganguli & Yamins (2021). Long after the loss converges, networks trained with SGD keep moving at a constant speed, and their distance from where they were grows as a power law in steps. Modelling SGD with momentum at finite learning rate and batch size as an underdamped Langevin equation, the paper solves linear regression exactly: an Ornstein–Uhlenbeck process whose stationary distribution is a Gibbs distribution on a modified loss, not the training loss, in broken detailed balance, so probability currents drive oscillations in phase space. Under a quadratic approximation, a pre-trained ResNet-18 on ImageNet shows the predicted isotropic exploration, velocity regularization, oscillations and speed. | Active — read 2026-10-13 (NOTE-711): main text, and Appendices A–C and H; the derivations in Appendices D–G were not checked. Held also in the Anthology of the SOTA as ANTH-LIT-454, read there for what the loss curve hides; read here for what a converged run is, under ADR-013. |
| LIT-1012 | Noise Balance and Stationary Distribution of Stochastic Gradient Descent | Ziyin, Li & Ueda (2023; v2 2025). Under the SDE model of SGD with temperature T = η/S, a rescaling symmetry between parameter groups u and w gives d(‖u‖² − ‖w‖²)/dt = −T(uᵀC₁u − wᵀC₂w): the Brownian term vanishes, and minibatch noise drives the quantity to the point where the two groups’ gradient noise balances. Gradient descent conserves it, and gradient descent with isotropic noise diffuses along it. At stationarity SGD therefore differs from gradient descent by a finite amount however small T is, and is not ergodic. For a diagonal linear network of arbitrary depth and width, the paper solves the stationary distribution exactly. It finds a phase transition to the zero solution above a critical T, sign coherence, fluctuation inversion and a tail set by depth alone. | Active — read 2026-10-13 (NOTE-714): §§I–IV in full; the proofs in Appendix A not checked. Cited by LIT-970 as Ziyin et al. (2023a), “Law of balance and stationary distribution of stochastic gradient descent”; retitled in v2. The source of THEORY-211. |
| LIT-1149 v2 | Semantic information, autonomous agency and non-equilibrium statistical physics | Kolchinsky & Wolpert (2018). Semantic information is the least part of a system’s syntactic information about its environment that must be kept, when the rest is scrambled by coarse-graining the environment, for the system’s viability (negative entropy) at a chosen time to stay unchanged. Viability, the system boundary and the timescale are chosen by the analyst. | Active — read 2026-10-29 (NOTE-1370) in full, from arXiv’s own copy (v3); worth reading for a definition of semantic information as the least syntactic information (initial mutual information or transfer entropy) that a coarse-graining intervention on the environment can leave while the system’s viability at τ, its negative entropy, is unchanged, with semantic efficiency, content and a thermodynamic multiplier. Read it knowing that the viability function, the system–environment split, τ and the initial distribution are the analyst’s choices, which the paper concedes; that negative entropy does not track a system’s identity; that the only example is a five-location toy; and that Appendix B drops the minus sign of its own viability function. |
| LIT-1664 v2 | Statistical theory of the decay of metastable states | Langer (1969). The decay rate of a metastable state is computed from the statistical mechanics of the saddle-point configuration (the critical nucleus) separating it from the stable phase, giving a field- theoretic basis for nucleation rates. | Unavailable — filed 2026-10-27, not read. A close reading was attempted on 2026-10-27 and no lawful full text was reached: the article is closed on Unpaywall (Annals of Physics, Elsevier), with no open copy listed. It stays Unavailable until a copy is supplied. |
| LIT-1865 v2 | What makes biological organisation teleological? | Mossio and Bich (2014; Synthese 194, 2017, 1089–1114). Biological organisation is intrinsically teleological because it self-determines as self-constraint: closure, a set of mutually dependent constraints that canalise a far-from-equilibrium flow at another level of causation. A cycle of transformations such as the water cycle is not closure. Dissipative structures do not realise closure; at most, on a contested reading, they make one macroscopic constraint and are minimally teleological, unorganised and without functions. Read for THEORY-072. | Active — read in full on 2026-10-30 (NOTE-1443) from the authors’ accepted manuscript on HAL, hal.science/hal-01137522 (CC BY-NC 4.0), fetched from hal.science/hal-01137522/document. The PhilSci-Archive copy (philsci-archive.pitt.edu/11156) failed TLS verification from this client the same day and was not used. Worth reading as the authors’ own statement, a year before LIT-582, that closure of constraints already carries the division of labour, and that dissipative structures do not realise closure but at most make a single macroscopic constraint. |
| LIT-1881 v2 | Bridging Freidlin-Wentzell large deviations theory and stochastic thermodynamics | Santolin, Freitas, Esposito & Falasco (2025). For overdamped diffusions with weak noise and a nonconservative force, the Freidlin–Wentzell quasi-potential is expanded in powers of the force about the detailed-balance free energy, each order computed along detailed-balanced relaxation; the first order saturates the emergent second law. Splitting the drift into a quasi-potential gradient and an orthogonal circulation, the escape rate from an attractor is bracketed between minus the entropy produced in relaxing into it and the entropy produced along the most likely escape path. The bracket closes at detailed balance; a sheared double well illustrates it. | Active — read in full 2026-10-31 (NOTE-1465); worth reading as the short, self-contained proof, for overdamped diffusions, that a nonequilibrium escape rate e^{−ΩΔI} is bracketed by the entropy produced in relaxing into the attractor and in escaping it (THEORY-1264), with a recursive expansion of the quasi-potential about the free energy. The bracket closes only at detailed balance. |
| LIT-1882 v2 | Correspondence between thermodynamics and inference | LaMont & Wiggins (2019). Treats the Bayesian evidence as a partition function with sample size N as inverse temperature and derives the thermodynamic quantities. The internal energy is the leave-one-out predictive loss, whose excess K/2N is equipartition. The heat capacity becomes a learning capacity, K/2 in a regular model and the learning coefficient in a singular one, lower where the prior or discreteness fixes parameters (“freeze-out”), proposed as the definition of sloppiness. A prior chosen to make the Gibbs entropy zero is Jeffreys-like, depends on N, reproduces AIC and avoids the Lindley–Bartlett paradox in one simulation. | Active — read 2026-10-31 (NOTE-1481; appendices B, C1, C3, C4 skimmed); worth reading as the fullest working of the evidence-as-partition-function dictionary with sample size as inverse temperature: generalization error as equipartition, a “learning capacity” equal to K/2 in regular and to the RLCT in singular models (THEORY-1253), and a sample-size-dependent prior that reproduces AIC. The dictionary is formal; it has no physical currents or dissipation. |
| LIT-1885 v2 | Thermodynamic Uncertainty Relation for Biomolecular Processes | Barato & Seifert (2015). In a nonequilibrium steady state of a Markov jump network obeying local detailed balance, the entropy produced while a current is counted times the current’s squared relative uncertainty is at least 2k_BT, independent of time. Proved within linear response for any network and for unicyclic networks at any affinity, where the sharper bound is (A/N) coth(A/2N), which also tightens the Fano-factor bound on the number of states in an enzyme cycle. For multicyclic networks far from equilibrium it is a conjecture supported by numerics on seven networks. | Active — read in full 2026-10-31 (NOTE-1480); worth reading as the letter that named the thermodynamic uncertainty relation: a current counted in a steady state with relative uncertainty ε costs at least 2k_BT/ε² of dissipation, proved within linear response and for single-cycle networks, conjectured with numerical support for many-cycle ones (THEORY-1268). It bounds the precision of currents, not of occupations. |
| LIT-1886 v2 | Thermodynamic Space of Chemical Reaction Networks | Liang, De Los Rios & Busiello (2024; PRX 2026). For any open mass-action reaction network at stationarity, each reaction’s affinity is bounded by the extremal cycle affinities, per use, over the elementary flux modes containing it, and each product of concentrations by the effective equilibrium constants of the extremal pathways; a virtual, infinitely slow probe reaction extends the bounds to species no reaction connects. This thermodynamic space has zero width at equilibrium. Bistability, chiral symmetry breaking, self-assembly yield and pattern contrast lie inside it; a measured state outside it falsifies a proposed topology. Fixed chemostats and stationary states only. | Active — read 2026-10-31 (NOTE-1463; appendices skimmed); worth reading for the bounds a fixed driving places on every stationary state of any reaction network (THEORY-1261). The exchange’s A13 also cited it for organizations that end when their driving is exhausted; the paper’s chemostats are fixed, and that point is LIT-1887’s. |
| LIT-1887 v2 | Emergence of Open Chemical Reaction Network Thermodynamics within Closed Systems | Remlein, Esposito & Avanzini (2026). A closed reaction network behaves, to leading order, as an open chemostatted one when exchange reactions are much faster than the rest and the reservoir species much more abundant, a diverging chemical capacity; time-scale separation alone is not enough, and the two limits do not commute. In that regime the open network’s master equation, local detailed balance, entropy production and Gibbs balance emerge. The regime lasts from the equilibration of the exchange reactions to a time of order the abundance ratio Ω, after which a driven network relaxes to the closed system’s equilibrium. Shown on a closed Brusselator and a two-reservoir network; buffers are the laboratory case. | Active — read 2026-10-31 (NOTE-1468; appendices skimmed); worth reading as the derivation of chemostats inside closed systems, with a lifetime: open behaviour needs both time-scale and abundance separation and lasts a time of order the abundance ratio (THEORY-1250). It, not LIT-1886, supports A13’s point that maintained organizations end when their driving is exhausted. |
| LIT-1889 v2 | Nonequilibrium Thermodynamics of Chemical Reaction Networks: Wisdom from Stochastic Thermodynamics | Rao & Esposito (2016). A nonequilibrium thermodynamics for open, deterministic, mass-action networks of reversible elementary reactions, driven by possibly time-dependent chemostats. Each chemostatted species breaks a conservation law or opens an emergent cycle; with every emergent affinity zero the network relaxes to a unique equilibrium, and a steady state dissipates the sum of emergent currents times affinities. The minimal chemical work to create a nonequilibrium distribution is RT times a relative entropy, a nonequilibrium Landauer principle. Complex-balanced networks, deficiency zero among them, have non-negative steady and transient dissipation and a unique globally stable steady state however hard they are driven. | Active — read in full 2026-10-31 (NOTE-1464); worth reading as the standard deterministic thermodynamics of open reaction networks, and for what it makes exact in the exchange’s A13: sustained turnover needs an emergent fuel-to-waste cycle with nonzero affinity, and costs its current times that affinity (THEORY-1266). |
| LIT-1890 v2 | Stochastic dynamics and non-equilibrium thermodynamics of a bistable chemical system: the Schlögl model revisited | Vellela & Qian (2009). The Schlögl model A + 2X ⇌ 3X, B ⇌ X by rate equation, chemical master equation and open-system thermodynamics. Bistability requires the two chemostats out of equilibrium. The master equation has one two-peaked stationary distribution, so the long-run occupancy of the two states is set by parameters and volume, not by the initial condition, and which state dominates can change with volume alone. The slow eigenvalue, exponentially small in volume, is the sum of the two escape rates. The more stable state can carry the higher or the lower entropy production, and the Fokker–Planck approximation can pick the wrong dominant state. | Active — read in full 2026-10-31 (NOTE-1474) from the PMC copy; worth reading as the clearest worked case of a maintained chemical state that is metastable at finite size: bistability needs the chemostats out of equilibrium, long-run occupancy does not depend on the starting state, the slow eigenvalue is the sum of the escape rates (THEORY-1273), and entropy production does not pick the stable state (THEORY-1270). Its large-volume rate formula carries a spurious 1/V, so its reported breakdown of asymptotics is mostly that factor. |
| LIT-1892 v2 | Macroscopic stochastic thermodynamics | Falasco & Esposito (2025). Takes stochastic thermodynamics of jump processes with local detailed balance to a large-size limit. Extensive rates and potentials give a deterministic dynamics whose Lyapunov function is the quasi-potential, and a large-deviation theory of fluctuations that keeps the fluctuation theorem. Equilibrium, linear irreversible and Onsager–Machlup theories are recovered as limits. Transition rates between attractors go as e^{−VΔI} and are bracketed by the entropy produced along relaxation and escape paths, tightly only near detailed balance. Each attractor has a housekeeping dissipation, and Langevin approximations miss it and misjudge barriers. Minimum and maximum entropy production principles hold only in special regimes. | Active — read in part 2026-10-31 (NOTE-1472, Skimmed: §§I–III, IV.A–D, IV.G–H, VI, VII.A.1, VIII and appendix A read in full; field theory and two of three applications not read); worth reading as the systematic statement of how maintained nonequilibrium states behave at large size: a quasi-potential, not a free energy, sets their lifetimes, which dissipation along relaxation and escape paths brackets (THEORY-1264); each carries its own housekeeping dissipation; and Gaussian-noise Langevin models get both barriers and entropy production wrong (THEORY-1265). |
| LIT-1897 v2 | Geometry of Nonequilibrium Reaction Networks | Dal Cengio, Lecomte & Polettini (2023). Extends Hill–Schnakenberg cycle analysis from linear reaction networks to interacting ones, which are hypergraphs, by row-reducing the stoichiometric matrix: cycles span its kernel and carry steady currents and the non-conservative part of the affinity, cocycles span the orthogonal complement and carry transient currents and conservative forces, and an integrator recovers chemical potentials. One chemostat cannot drive a network; suppressing a cocycle creates a new conservation law. Near equilibrium the relaxation and response Onsager matrices share their spectrum, and the decomposition gives a linear-regime reconstruction of metabolic fluxes that satisfies Kirchhoff’s laws. | Active — read 2026-10-31 (NOTE-1476; appendices skimmed); worth reading for the cycle–cocycle geometry of reaction hypergraphs and as the exact form of the exchange’s “a productive cycle need not be a stoichiometric cycle”: catalysts cancel from the stoichiometric matrix, so mutual catalytic production is not a cycle of it (THEORY-1248). |