Finite-Size Scaling in the Driven Lattice Gas

Abstract

We present a Monte Carlo study of the high-temperature phase of the two-dimensional driven lattice gas at infinite driving field. We define a finite-volume correlation length, verify that this definition has a good infinite-volume limit independent of the lattice geometry, and study its finite-size-scaling behavior. The results for the correlation length are in good agreement with the predictions based on the field theory proposed by Janssen, Schmittmann, Leung, and Cardy. The theoretical predictions for the susceptibility and the magnetization are also well verified. We show that the transverse Binder parameter vanishes at the critical point in all dimensions $d\ge 2$ and discuss how such result should be expected in the theory of Janssen et al. in spite of the existence of a dangerously irrelevant operator. Our results confirm the Gaussian nature of the transverse excitations.

arXiv comment40 pages, in honour of G. Jona-Lasinio

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• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Twenty five years after KLS: A celebration of non-equilibrium statistical mechanics
• Finite-Size Scaling behavior in the O(4)-Model
• Long-range phase order in two dimensions under shear flow
• Non-equilibrium relaxation and critical aging for driven Ising lattice gases
• Driven Diffusive Systems: How Steady States Depend on Dynamics
• Driving Driven Lattice Gases to Identify Their Universality Classes
• Critical Behavior of the Two-Dimensional Randomly Driven Lattice Gas
• Short-time Behaviour and Criticality of Driven Lattice Gases
• On the universal Gaussian behavior of Driven Lattice Gases at short-times
• Shift in critical temperature for random spatial permutations with cycle weights
• Steady States of a Nonequilibrium Lattice Gas
• Nonequilibrium Reweighting on the Driven Diffusive Lattice Gas
• Parallel Temperature Interfaces in the Katz-Lebowitz-Spohn Driven Lattice Gas