Finite-Size Scaling in the Driven Lattice Gas

Sergio Caracciolo, Andrea Gambassi, Massimiliano Gubinelli and Andrea Pelissetto

First issued 8 December 2003 · PDF

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.

Versions

1. Version 1 (arXiv v1) current
   8 December 2003
   arXiv comments: 40 pages, in honour of G. Jona-Lasinio
   PDF · LaTeX source · files and digests · arXiv:cond-mat/0312175

Cite

Sergio Caracciolo, Andrea Gambassi, Massimiliano Gubinelli and Andrea Pelissetto. Finite-Size Scaling in the Driven Lattice Gas. Papers of Massimiliano Gubinelli, 2003, version 1. https://mgubi.org/papers/paper/driven-lattice-gas-scaling/

Licence: arXiv.org non-exclusive license to distribute, assumed for submissions of 1991-2003; all other rights reserved to the authors

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