Critical Behavior of the Two-Dimensional Randomly Driven Lattice Gas

Sergio Caracciolo, Andrea Gambassi, Massimiliano Gubinelli and Andrea Pelissetto

First issued 26 July 2005 · PDF

Abstract

We investigate the critical behavior of the two-dimensional randomly driven lattice gas, in which particles are driven along one of the lattice axes by an infinite external field with randomly changing sign. A finite-size scaling (FSS) analysis provides novel evidences that this model is not in the same universality class as the driven lattice gas with a constant drive (DLG), contrarily to what has been recently reported in the literature. Indeed, the FSS functions of transverse observables (i.e., related to order-parameter fluctuations with wave vector perpendicular to the direction of the field) differ from the mean-field behavior predicted and observed within the DLG universality class. At variance with the DLG case, FSS is attained on lattices with fixed aspect ratio and anisotropy exponent equal to 1 and the transverse Binder cumulant does not vanish at the critical point.

Versions

1. Version 1 (arXiv v1) current
   26 July 2005
   arXiv comments: 4 pages, 4 figures
   PDF · LaTeX source · files and digests · arXiv:cond-mat/0507614

Cite

Sergio Caracciolo, Andrea Gambassi, Massimiliano Gubinelli and Andrea Pelissetto. Critical Behavior of the Two-Dimensional Randomly Driven Lattice Gas. Papers of Massimiliano Gubinelli, 2005, version 1. https://mgubi.org/papers/paper/randomly-driven-lattice-gas/

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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