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24 April 2024
 
  » arxiv » cond-mat/9805285

 Article overview


Anisotropic finite-size scaling analysis of a three-dimensional driven-diffusive system
Kwan-tai Leung ; Jian-Sheng Wang ;
Date 22 May 1998
Journal Int. J. Mod. Phys. C, 10 (1999) 853.
Subject Statistical Mechanics | cond-mat.stat-mech
AbstractWe study the standard three-dimensional driven diffusive system on a simple cubic lattice where particle jumps 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.
Source arXiv, cond-mat/9805285
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