GENERALIZATIONS OF THE KARDAR-PARISI-ZHANG EQUATION

被引：97

作者：

DOHERTY, JP

MOORE, MA

KIM, JM

BRAY, AJ

机构：

[1] Department of Theoretical Physics, University of Manchester

来源：

PHYSICAL REVIEW LETTERS | 1994年 / 72卷 / 13期

关键词：

D O I：

10.1103/PhysRevLett.72.2041

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We generalize the Kardar-Parisi-Zhang (KPZ) equation to an O(3) N = 2j + 1 component model. In the limit N --> infinity we show that the mode coupling equations become exact. Solving these approximately we find that the dynamic exponent z increases from 3/2 for d = 1 to 2 at the dimension d almost-equal-to 3.6. For d = 1 it can be shown analytically that z = 3/2 for all j. The case j = 2 for d = 2 is investigated by numerical integration of the KPZ equation.

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页码：2041 / 2044

页数：4

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