Monte Carlo studies of a driven lattice gas. I. Growth and asymmetry during phase segregation

F. J. Alexander, C. A. Laberge, Joel Lebowitz, R. K.P. Zia

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

We investigate the effects of an external field on the kinetics of phase segregation in systems with conservative diffusive dynamics. We find that, in contrast to the situation without a field, there are now qualitative differences between the results of microscopic simulations of a 2D lattice model with biased Kawasaki exchanges and those obtained from various modifications of the macroscopic Cahn-Hilliard equation (mCH). While both microscopic simulations and numerical solutions of MCH yield triangular domains, we find that in the former the triangles mainly point opposite to the field, while in the latter and in new calculations with the mCH they point along the field. On the other hand, the rate of growth of the clusters and their final state, bands parallel to the field, are similar. This issue and the question of the mesoscopic behavior of cell dynamical systems is discussed but not resolved.

Original languageEnglish (US)
Pages (from-to)1133-1158
Number of pages26
JournalJournal of Statistical Physics
Volume82
Issue number3-4
DOIs
StatePublished - Jan 1 1996

Fingerprint

Lattice Gas
Monte Carlo Study
Segregation
Asymmetry
asymmetry
Cahn-Hilliard Equation
gases
triangles
dynamical systems
simulation
kinetics
Lattice Model
External Field
Biased
Triangular
Triangle
Simulation
Dynamical system
Kinetics
Numerical Solution

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Keywords

  • Driven diffusive systems
  • Phase segregation dynamics

Cite this

Alexander, F. J. ; Laberge, C. A. ; Lebowitz, Joel ; Zia, R. K.P. / Monte Carlo studies of a driven lattice gas. I. Growth and asymmetry during phase segregation. In: Journal of Statistical Physics. 1996 ; Vol. 82, No. 3-4. pp. 1133-1158.
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Monte Carlo studies of a driven lattice gas. I. Growth and asymmetry during phase segregation. / Alexander, F. J.; Laberge, C. A.; Lebowitz, Joel; Zia, R. K.P.

In: Journal of Statistical Physics, Vol. 82, No. 3-4, 01.01.1996, p. 1133-1158.

Research output: Contribution to journalArticle

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