ABSENCE OF FINITE UPPER CRITICAL DIMENSION IN THE SPHERICAL KARDAR-PARISI-ZHANG MODEL

被引：41

作者：

TU, YH ^{[1
]}

机构：

[1] CALTECH, PASADENA, CA 91125 USA

来源：

PHYSICAL REVIEW LETTERS | 1994年 / 73卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.73.3109

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown in this paper that the scaling properties of an N-component Kardar-Parisi-Zhang equation in the large N limit (spherical limit) can be obtained by solving the mode-coupling equation. The full scaling functions and the critical exponents in the large N limit are obtained exactly by solving the mode-coupling equation numerically. The dynamic exponent z is found to be 1.615 at dimension d=2, very close to the value obtained by numerical simulation of growth process, but z remains less than 2 in any finite dimension, suggesting the existence of a strong coupling regime for any finite dimension. © 1994 The American Physical Society.

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页码：3109 / 3112

页数：4

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