Abstract
Two-dimensional lattice-gas models with attractive interactions and particle-conserving hopping dynamics under the influence of a very large external electric field ⇀E along a principal axis are studied in the case of different ratiosγ between the jump rates in the field direction and perpendicular to it using different transition probabilities. We investigate the dependence of the non-equilibrium steady-state properties on the transition mechanism. We find self-similarity with respect to (T, γ) and a coexistence curve critical exponent which, for smallγ, seems independent ofγ. There is some evidence that this exponent might be halfway between the equilibrium mean field and Onsager's values. A crossover toward mean-field behavior for largeγ seems also identified.
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References
W. Dietrich, P. Fulde, and I. Peschel,Adv. Phys. 29:527 (1980), and references therein.
T. Hibma,Solid State Commun. 33:445 (1980).
J. B. Bates, J. Wang, and N. J. Dudney,Phys. Today, 09:46 (1980).
S. Katz, J. L. Lebowitz, and H. Spohn,Phys. Rev. B28:655 (1983);J. Stat. Phys. 34:497 (1984).
J. Marro, J. L. Lebowitz, H. Spohn, and M. H. Kalos,J. Stat. Phys. 38, 725 (1985).
A. Onuki and K. Kawasaki,Ann. Phys. (N.Y.)121:456 (1979);131:217 (1981).
D. Beysens and M. Gbadamassi,Phys. Rev. A22:2250 (1980).
H. van Beijeren and L. S. Schulman,Phys. Rev. Lett. 53:806 (1984).
I. Bernasconi, H. U. Beyeler, S. StrÄssler, and S. Alexander,Phys. Rev. Lett. 42:819 (1979).
J. Krug, J. L. Lebowitz, H. Spohn, and Q. W. Zhang, to be published.
N. Metropolis, A. W. Rosenbluth, M. M. Rosenbluth, A. H. Teller, and E. Teller,J. Chem. Phys. 21:1087 (1953).
K. Kawasaki, inPhase Transitions and Critical Phenomena, vol. 2, C. Domb and M. S. Green, eds. (Academic Press, London, 1972), pp. 443–501.
J. Marroet al., unpublished results.
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Partially supported by the US-Spanish Cooperative Research Program, Grant CCB-8402025.
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Vallés, J.L., Marro, J. Nonequilibrium phase transitions in stochastic lattice systems: Influence of the hopping rates. J Stat Phys 43, 441–461 (1986). https://doi.org/10.1007/BF01020647
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DOI: https://doi.org/10.1007/BF01020647