Abstract
An approximate theory is developed for tracer diffusion in rectangular lattice gas models with anisotropic jump rates to neighboring unoccupied sites in different directions. Comparison with Monte Carlo simulations on quadratic lattices with several ratios for the jump rates in orthogonal directions shows a satisfactory agreement in all cases investigated.
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H. van Beijeren and R. Kutner,Phys. Rev. Lett. 55:238 (1985).
R. A. Tahir-Kheli,Phys. Rev. B 28:3049 (1983).
R. Howard,Phys. Rev. 144:650 (1966).
H. van Beijeren and K. W. Kehr,J. Phys. C 19:1319 (1986).
H. van Beijeren, K. W. Kehr, and R. Kutner,Phys. Rev. B 28:5711 (1983).
R. Kutner, H. van Beijeren, and K. W. Kehr,Phys. Rev. B 30:4382 (1984).
E. W. Montroll and G. H. Weiss,J. Math. Phys. 6:167 (1965); D. Bedeaux, K. Lakatos-Lindenberg, and K. E. Shuler,J. Math. Phys. 12:2116 (1971).
G. E. Murch,Phil. Mag. 49:21 (1984).
R. A. Tahir-Kheli,Phys. Rev. B 27:6072 (1983).
K. Nakazato and K. Kitahara,Progr. Theor. Phys. 64:122 (1980).
G. Honig and U. Hirdes,J. Comput. Appl. Math. 10:113 (1984).
H. van Beijeren,J. Stat. Phys. 35:399 (1984).
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van Beijeren, H., Kutner, R. Tracer diffusion in concentrated lattice gas models. Rectangular lattices with anisotropic jump rates. J Stat Phys 49, 1043–1051 (1987). https://doi.org/10.1007/BF01017559
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DOI: https://doi.org/10.1007/BF01017559