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Finite-Size Scaling in the Driven Lattice Gas

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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 \(d \geqslant 2\) 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.

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Authors and Affiliations

  1. Dipartimento di Fisica and INFN, Università di Milano, and INFM-NEST, I-20133, Milano, Italy

    Sergio Caracciolo

  2. Max-Planck-Institut für Metallforschung, Heisenbergstr. 3, D-70569, Stuttgart, Germany, and

    Andrea Gambassi

  3. Institut für Theoretische und Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57, D-70569, Stuttgart, Germany

    Andrea Gambassi

  4. Dipartimento di Matematica Applicata and INFN, Università di Pisa, I-56100, Pisa, Italy

    Massimiliano Gubinelli

  5. Dipartimento di Fisica and INFN, Università di Roma “La Sapienza,”, I-00185, Roma, Italy

    Andrea Pelissetto

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  1. Sergio Caracciolo
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  4. Andrea Pelissetto
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Caracciolo, S., Gambassi, A., Gubinelli, M. et al. Finite-Size Scaling in the Driven Lattice Gas. Journal of Statistical Physics 115, 281–322 (2004). https://doi.org/10.1023/B:JOSS.0000019824.34397.1d

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