nucleation

LIT-925: Diffusion-Limited Aggregation, a Kinetic Critical Phenomenon

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Properties3
StatusUnavailable — 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.
Version3
Tagscomplex-systems, natural-sciences

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T. A. Witten and L. M. Sander (1981), Physical Review Letters 47(19), 1400–1403 — DOI-10.1103/PhysRevLett.47.1400

Key takeaways

Filed, not read. Known here by what it is standardly cited for.

  • Particles released far away random-walk until they touch the cluster, then stick.
  • Protruding tips catch arriving particles before they reach the interior, so tips grow faster and the cluster branches, a minimal version of the growth instability.
  • The aggregate is a fractal with no characteristic length, which is the sense of “kinetic critical phenomenon”.

Standing in the record

Filed on 2026-10-11 to ground CLAIM-186 beside Langer. It is the simplest model in which growth by accretion branches without any tuning: what is already out front catches what arrives next. Read across, the most recent and most elaborated proposal in an exchange draws the next reply. That is a mechanism for the branching the claim describes, and it is untested.

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