Brownian-Vacancy Mediated Disordering Dynamics

TL;DR

This paper investigates how highly mobile vacancies cause disordering in phase segregated systems, revealing dynamic scaling behavior and deriving characteristic exponents that match Monte Carlo simulations.

Contribution

It introduces a set of analytically computed exponents describing vacancy-mediated disordering dynamics, validated by Monte Carlo data.

Findings

Disordering exhibits dynamic scaling in late stages

Characteristic time scale depends on vacancy number exponent

Analytical exponents agree with Monte Carlo simulations

Abstract

The disordering of an initially phase segregated system of finite size, induced by the presence of highly mobile vacancies, is shown to exhibit dynamic scaling in its late stages. A set of characteristic exponents is introduced and computed analytically, in excellent agreement with Monte Carlo data. In particular, the characteristic time scale, controlling the crossover between increasing disorder and saturation, is found to depend on the exponent scaling the number of vacancies in the sample.