Anisotropic ordering in a two-temperature lattice gas

Attila Szolnoki, György Szabó, Ole G. Mouritsen

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Abstract

We consider a two-dimensional lattice gas model with repulsive nearest- and next-nearest-neighbor interactions that evolves in time according to anisotropic Kawasaki dynamics. The hopping of particles along the principal directions is governed by two heat baths at different temperatures T-x and T-y. The stationary states of this nonequilibrium model are studied using a simple mean-field theory and linear stability analysis. The results are improved by a generalized dynamical mean-field approximation. In the stable ordered state the particles form parallel chains which are oriented along the direction of the higher temperature. In the resulting phase diagram in the T-x-T-y plane the critical temperature curve shows a weak maximum as a function of the parallel temperature which is confirmed by Monte Carlo simulations. Finite-size scaling analysis suggests that the model leaves the equilibrium universality class of the x-y model with cubic anisotropy and is described by the Ising exponents.
Original languageEnglish
JournalPhysical Review E. Statistical, Nonlinear, and Soft Matter Physics
Volume55
Issue number3
Pages (from-to)2255-2259
ISSN1063-651X
DOIs
Publication statusPublished - 1997

Bibliographical note

Copyright (1997) American Physical Society.

Keywords

  • PHASE-DIAGRAM
  • DRIVEN
  • MONTE-CARLO
  • MODEL
  • DOMAIN-GROWTH
  • SQUARE LATTICE
  • MEAN-FIELD THEORY
  • NEAREST-NEIGHBOR INTERACTIONS
  • YBA2CU3OZ
  • 2-TEMPERATURE

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