ANISOTROPIC FINITE-SIZE SCALING ANALYSIS OF A THREE-DIMENSIONAL DRIVEN-DIFFUSIVE SYSTEM

Kwan-Tai Leung and Jian-Sheng Wang
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Kwan-Tai Leung: Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan, Republic of China
Jian-Sheng Wang: Department of Computational Science, National University of Singapore, Singapore 119260, Republic of Singapore

International Journal of Modern Physics C (IJMPC), 1999, vol. 10, issue 05, 853-873

Abstract: We study the standard three-dimensional driven diffusive system on a simple cubic lattice where particle jumping along a given lattice direction are biased by an infinitely strong field, while those along other directions follow the usual Kawasaki dynamics. Our goal is to determine which of the several existing theories for critical behavior is valid. We analyze finite-size scaling properties using a range of system shapes and sizes far exceeding previous studies. Four different analytic predictions are tested against the numerical data. Binder and Wang's prediction does not fit the data well. Among the two slightly different versions of Leung, the one including the effects of a dangerous irrelevant variable appears to be better. Recently proposed isotropic finite-size scaling is inconsistent with our data from cubic systems, where systematic deviations are found, especially in scaling at the critical temperature.

Keywords: Driven diffusive systems; Finite-size scaling; Nonequilibrium phase transitions; Computer simulations (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1142/S0129183199000668

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