From early nucleation past the percolation threshold: Status of the Kolmogorov-Avrami theory on a cold Ising lattice

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Abstract

A high-precision test of the Kolmogorov-Avrami (KA) model of "geometric" interactions between growing nuclei is performed for an Ising ferromagnet driven by Metropolis dynamics. As long as the interface boundaries of interacting nuclei are rough, the KA model is adequate for arbitrary large densities of the new phase, well beyond the percolation transition, as in the case of homogeneous nucleation. For a prenucleated system the KA description breaks down at sufficiently low temperature, when the length of a kinetically smooth interface exceeds the distance between seeds.

Original languageEnglish (US)
Article number061301
JournalPhysical Review E
Volume100
Issue number6
DOIs
StatePublished - Dec 6 2019

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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