We present a Monte Carlo study of the high-temperature phase of the twodimensional 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 \ 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.

Finite-size scaling in the driven lattice gas / Sergio Caracciolo, Andrea Gambassi, Massimiliano Gubinelli, Andrea Pelissetto. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 115:1-2(2004), pp. 281-322.

Finite-size scaling in the driven lattice gas

Sergio Caracciolo;
2004

Abstract

We present a Monte Carlo study of the high-temperature phase of the twodimensional 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 \ 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.
Critical behavior; Driven lattice gas; Finite-size scaling; Nonequilibrium statistical mechanics
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
2004
http://www.springerlink.com/content/m681757pr5862j6l/
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/23869
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