3-DIMENSIONAL TOOM MODEL - CONNECTION TO THE ANISOTROPIC KARDAR-PARISI-ZHANG EQUATION

被引:14
作者
BARABASI, AL [1 ]
ARAUJO, M [1 ]
STANLEY, HE [1 ]
机构
[1] BOSTON UNIV,DEPT PHYS,BOSTON,MA 02215
关键词
D O I
10.1103/PhysRevLett.68.3729
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A three-dimensional Toom model is defined and the properties of the interface separating the two stable phases are investigated. Using symmetry arguments we show that in the zero-noise limit the model has only nonequilibrium fluctuations and that the scaling is described by the anisotropic Kardar-Parisi-Zhang equation. The scaling exponents are determined numerically and good agreement with the theoretical predictions is found.
引用
收藏
页码:3729 / 3732
页数:4
相关论文
共 23 条
[1]  
ARAUJO M, IN PRESS
[2]   ROLE OF IRREVERSIBILITY IN STABILIZING COMPLEX AND NONERGODIC BEHAVIOR IN LOCALLY INTERACTING DISCRETE-SYSTEMS [J].
BENNETT, CH ;
GRINSTEIN, G .
PHYSICAL REVIEW LETTERS, 1985, 55 (07) :657-660
[3]   DYNAMICS OF AN ANCHORED TOOM INTERFACE [J].
DERRIDA, B ;
LEBOWITZ, JL ;
SPEER, ER ;
SPOHN, H .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (20) :4805-4834
[4]   FLUCTUATIONS OF A STATIONARY NONEQUILIBRIUM INTERFACE [J].
DERRIDA, B ;
LEBOWITZ, JL ;
SPEER, ER ;
SPOHN, H .
PHYSICAL REVIEW LETTERS, 1991, 67 (02) :165-168
[5]  
Family F., 1991, DYNAMICS FRACTAL SUR
[6]   SURFACE ROUGHENING IN A HYPERCUBE-STACKING MODEL [J].
FORREST, BM ;
TANG, LH .
PHYSICAL REVIEW LETTERS, 1990, 64 (12) :1405-1408
[7]   A TOOM RULE THAT INCREASES THE THICKNESS OF SETS [J].
GACS, P .
JOURNAL OF STATISTICAL PHYSICS, 1990, 59 (1-2) :171-193
[8]   DISSIPATIVE TRANSPORT IN OPEN SYSTEMS - AN INVESTIGATION OF SELF-ORGANIZED CRITICALITY [J].
HWA, T ;
KARDAR, M .
PHYSICAL REVIEW LETTERS, 1989, 62 (16) :1813-1816
[9]  
HWA T, THESIS MIT
[10]  
JULLIEN R, 1992, 1992 P LES HOUCH WOR