Critical domain size in a driven diffusive system

1996/03/07 by Attila Szolnoki, Tibor Antal, Szolnoki, Attila +4
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Condensed Matter (cond-mat) #FOS: Physical sciences #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9603048

REVTEX, 3 twocolumn pages including a PS figure

arxiv created 1996/03/07 · openalex publication_date 1996/03/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The homogeneous ordered state transforms into a polydomain state via a nucleation mechanism in two-dimensional lattice gas if the particle jumps are biased by an external field E. A simple phenomenological model is used to describe the time evolution of a circular interface separating the ordered regions. It is shown that the area of a domain increases if its radius exceeds a critical value proportional to 1/E which agrees qualitatively with Monte Carlo simulations.

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