Critical domain size in a driven diffusive system
Attila Szolnoki, Tibor Antal, and Gyorgy Szabo
TL;DR
This paper investigates how an external field influences the critical size of domains in a driven diffusive system, revealing a proportional relationship between critical radius and inverse field strength, supported by simulations.
Contribution
It introduces a phenomenological model linking external bias to critical domain size, aligning with Monte Carlo simulation results.
Findings
Critical domain radius scales with 1/E
Ordered state transitions to polydomain state via nucleation
Model predictions agree qualitatively with simulations
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 . 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 which agrees qualitatively with Monte Carlo simulations.
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Taxonomy
TopicsTheoretical and Computational Physics · Stochastic processes and statistical mechanics · Advanced Thermodynamics and Statistical Mechanics