https://doi.org/10.1007/PL00011078
A lattice gas coupled to two thermal reservoirs: Monte Carlo and field theoretic studies
1
Institute for Life Sciences and Chemistry, Roskilde University,
4000 Roskilde, Denmark
2
Center for Stochastic Processes in Science and Engineering,
Department of Physics,
Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0435, USA
3
Fachbereich Physik, Universität - Gesamthochschule Essen,
45117 Essen, Germany
Corresponding author: a schmittm@vt.edu
Received:
4
October
2000
Published online: 15 December 2000
We investigate the collective behavior of an Ising lattice gas, driven to
non-equilibrium steady states by being coupled to two thermal baths.
Monte Carlo methods are applied to a two-dimensional system in which one of
the baths is fixed at infinite temperature. Both generic long range
correlations in the disordered state and critical properties near the second
order transition are measured. Anisotropic scaling, a key feature near
criticality, is used to extract Tc and some critical exponents. On the
theoretical front, a continuum theory, in the spirit of Landau-Ginzburg, is
presented. Being a renormalizable theory, its predictions can be computed by
standard methods of 
-expansions and found to be consistent with
simulation data. In particular, the critical behavior of this system belongs
to a universality class which is quite different from the uniformly
driven Ising model.
PACS: 64.60.Ht – Dynamic critical phenomena / 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions / 05.10.Ln – Monte Carlo methods / 05.70.Ln – Non-equilibrium and irreversible thermodynamics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
