Brownian-Vacancy Mediated Disordering Dynamics

Z. Toroczkai, G. Korniss, B. Schmittmann, R. K. P. Zia

Published 1997-12-12Version 1

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.