Critical domain size in a driven diffusive system
Attila Szolnoki, Tibor Antal, Gyorgy Szabo
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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