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

Author:

LEUNG KWAN-TAI1,WANG JIAN-SHENG2

Affiliation:

1. Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan, Republic of China

2. Department of Computational Science, National University of Singapore, Singapore 119260, Republic of Singapore

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Cited by 12 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Monte Carlo study of anisotropic scaling generated by disorder;Physical Review E;2015-10-07

2. EFFECTS OF LANGMUIR KINETICS ON TWO-LANE TOTALLY ASYMMETRIC EXCLUSION PROCESSES OF MOLECULAR MOTOR TRAFFIC;International Journal of Modern Physics C;2007-09

3. Steady states of a nonequilibrium lattice gas;Physical Review E;2005-09-28

4. Finite-Size Scaling in the Driven Lattice Gas;Journal of Statistical Physics;2004-04

5. Transverse fluctuations in the driven lattice gas;Journal of Physics A: Mathematical and General;2003-05-12

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