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

Document Type

Article

Publication Date

12-6-2019

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.

Identifier

85076465408 (Scopus)

Publication Title

Physical Review E

External Full Text Location

https://doi.org/10.1103/PhysRevE.100.061301

e-ISSN

24700053

ISSN

24700045

PubMed ID

31962418

Issue

6

Volume

100

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