Abstract
We report computer simulations and high-temperature approximations of the pair correlation in a stationary nonequilibrium system, a lattice gas subject to a strong uniform driving fieldE. The dynamics of the system is given by hoppings of particles to adjacent empty sites with rates biased for jumps in the direction ofE. We study the anisotropic short-distance behavior as well as the long-distance decay properties of the two-point correlations along the principal axes. The simulations as well as the (approximate) expansion inβ strongly suggest that the correlations in this system have a power law decay,r −Dfor dimensionsD=2 and 3, even at high temperatures.
Similar content being viewed by others
References
S. Katz, J. L. Lebowitz, and H. Spohn,Phys. Rev. B 28:1655 (1983);J. Stat. Phys. 34:497 (1984).
J. Marro, J. L. Lebowitz, H. Spohn, and M. H. Kalos,J. Stat. Phys. 38:725 (1984).
J. L. Vallés and J. Marro,J. Stat. Phys. 43:441 (1986);49:89 (1987).
J. Marro and J. L. Vallés,J. Stat. Phys. 49:121 (1987).
J. Marro, J. L. Vallés, and J. M. Gonzalez-Miranda,Phys. Rev. B 35:3372 (1987).
K. Kawasaki, inPhase Transitions and Critical Phenomena, Vol. 4, C. Domb and M. S. Green, eds. (Academic Press, London, 1972).
N. Metropolis, A. W. Rosenbluth, M. M. Rosenbluth, A. H. Teller, and E. Teller,J. Chem. Phys. 21:1087 (1953).
B. M. Law, R. W. Gammon, and J. V. Sengers,Phys. Rev. Lett. 60:1554 (1988); T. R. Kirkpatrick, E. G. D. Cohen, and J. R. Dorfman,Phys. Rev. A 26:950, 966, 972 (1980).
T. M. Liggett,Interacting Particle Systems (Springer, Berlin, 1985).
H. Spohn,J. Phys. A 16:4275 (1983).
K. Binder, J. L. Lebowitz, J.-S. Wang, to be published.
H. K. Janssen and B. Schmittmann,Z. Phy. B 64:503 (1986); K. T. Leung, and J. L. Cardy,J. Stat. Phys. 44:567 (1986).
M. Q. Zhang, Ph.D. Thesis, Rutgers University, New Brunswick, New Jersey (1987).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zhang, M.Q., Wang, J.S., Lebowitz, J.L. et al. Power law decay of correlations in stationary nonequilibrium lattice gases with conservative dynamics. J Stat Phys 52, 1461–1478 (1988). https://doi.org/10.1007/BF01011660
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01011660