Abstract
We have studied lattice gases with a particle-conserving dynamic rule that involves two principal parameters. One of them has two limiting values that correspond, respectively, to a large, saturating constant field, which induces a positive particle current, and to a random field (zero net current). Varying the other parameter, either particle attractions or repulsions perpendicular to the field are simulated. The nature of ordering is shown to be independent of the value for the field parameter. In particular, the two indicated limiting cases of the latter lead to the same order-parameter critical behavior, consistent with β≃1/3, in the presence of a linear interface for attractions in two dimensions. Some qualitative features of the time relaxation are briefly described.
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REFERENCES
G. Grinstein, C. Jayaprakash, and Y. He, Phys. Rev. Lett. 55:2527 (1985).
J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models, (Cambridge, Univ. Press Cambridge, 1998).
P. L. Garrido, F. de los Santos, and M. A. Muñoz, Phys. Rev. E 57:752 (1998).
A. Achahbar and J. Marro, J. Stat. Phys. 78:1493 (1995).
B. Schmittmann and R. K. P. Zia, in Phase Transitions and Critical Phenomena, C. Domb and J. L. Lebowitz, eds. (Academic Press, New York, 1995).
J.-S. Wang, J. Stat. Phys. 82:1409 (1996).
K.-T. Leung and R. K. P. Zia, J. Stat. Phys. 83:1219 (1996).
J. Marro, A. Achahbar, P. L. Garrido, and J. J. Alonso, Phys. Rev. E 53:6038 (1996).
J. Marro et al., to be published.
See, for instance, M. R. Evans and B. Derrida, Acta Physica Slovaca 44:331 (1994).
J. Marro, J. L. Lebowitz, and M. H. Kalos, Phys. Rev. Lett. 43:282 (1979).
K. Binder, in Monte Carlo Methods in Statistical Physics, K. Binder, ed. (Springer-Verlag, Berlin, 1979).
B. Schmittmann and R. K. P. Zia, Phys. Rev. Lett. 66:357 (1991).
K.-T. Leung, B. Schmittmann, and R. K. P. Zia, Phys. Rev. Lett. 62:1772 (1989).
J. Marro, in Monte Carlo and Molecular Dynamics of Condensed Matter Systems, K. Binder and G. Ciccotti, eds., Chapter 32, pp. 843-858, (Italian Physical Society, Bologna, 1996).
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Marro, J., Achahbar, A. Anisotropic Lattice Gases. Journal of Statistical Physics 90, 817–826 (1998). https://doi.org/10.1023/A:1023281121252
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DOI: https://doi.org/10.1023/A:1023281121252