Abstract
The standard two-dimensional uniformly driven diffusive model is simulated extensively for much larger systems with a multi-spin coding technique. The nonequilibrium phase transition is analyzed with anisotropic finite-size scaling both at the critical point and off the critical point. The field-theoretic values of critical exponents fit the data well at and aboveT c . BelowT c the scaling is rather difficult and the results are not conclusive.
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S. Katz, J. L. Lebowitz, and H. Spohn,Phys. Rev. B 28:1655 (1983).
S. Katz, J. L. Lebowitz, and H. Spohn,J. Stat. Phys. 34:497 (1984).
H. van Beijeren and L. S. Schulman,Phys. Rev. Lett. 53:806 (1984).
B. Schmittmann,Int. J. Mod. Phys. B 4:2269 (1990); B. Schmittmann and R. K. P. Zia, inPhase Transitions and Critical Phenomena, Vol. 17, C. Domb and J. L. Lebowitz, eds. (Academic Press, New York, 1995).
H. K. Janssen and B. Schmittmann,Z. Phys. B 64:503 (1986).
K.-T. Leung and J. Cardy,J. Stat. Phys. 44:567 (1986).
J. L. Vallés and J. Marro,J. Stat. Phys. 49:89 (1987).
K.-T. Leung,Phys. Rev. Lett. 66:453 (1991).
K.-T. Leung,Int. J. Mod. Phys. C 3:367 (1992).
A. Achahbar and J. Marro,J. Stat. Phys. 78:1493 (1995).
A. Achahbar, P. L. Garrido, J. Marro, and J. J. Alonso, Preprint (1995); J. Marro, P. L. Garrido, and A. Achahbar, Preprint (1995).
H.-O. Heuer,Computer Phys. Commun. 59:387 (1990).
N. Kawashima, N. Ito, and Y. Kanada,Int. J. Mod. Phys. C 4:525 (1993).
J.-S. Wang, K. Binder, and J. L. Lebowitz,J. Stat. Phys. 56:783 (1989).
S. M. Bhattacharjee and J. F. Nagle,Phys. Rev. A 31:3199 (1985).
K.-T. Leung and R. K. P. Zia,J. Stat. Phys. (in press) (1996).
K. Binder and J.-S. Wang,J. Stat. Phys. 55:87 (1989).
E. L.-Praestgaard, H. Larsen, and R. K. P. Zia,Europhys. Lett. 25:447 (1994).
E. V. Albano, K. Binder, D. W. Heermann, and W. Paul,Z. Phys. B 77:445 (1989).
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Wang, JS. Anisotropic finite-size scaling analysis of a two-dimensional driven diffusive system. J Stat Phys 82, 1409–1427 (1996). https://doi.org/10.1007/BF02183389
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DOI: https://doi.org/10.1007/BF02183389