SELF-CONSISTENT APPROACH TO THE KARDAR-PARISI-ZHANG EQUATION

被引：101

作者：

BOUCHAUD, JP ^{[1
]}

CATES, ME ^{[1
]}

机构：

[1] CEA, DIRECT RECH ETAT CONDENSE ATOMES & MOLEC, SERV PHYS ETAT CONDENSE, F-91191 GIF SUR YVETTE, FRANCE

来源：

PHYSICAL REVIEW E | 1993年 / 47卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.47.R1455

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We propose a self-consistent treatment of the Kardar-Parisi-Zhang equation in d dimensions, in order to calculate the dynamical exponent z and the roughness exponent chi, and also amplitude ratios and subleading corrections. We assume that the dynamics of each mode is purely exponential, and find agreement with known results in d = 1 and 2. For d > d* congruent-to 2.85, however, none of our solutions is compatible with this assumption. Our method is distinct from, but akin to, the one recently proposed by M. Schwartz and S. F. Edwards [Europhys. Lett. 20, 301 (1992)].

引用

页码：R1455 / R1458

页数：4

共 31 条

[1] UNIVERSALITY IN SURFACE GROWTH - SCALING FUNCTIONS AND AMPLITUDE RATIOS [J].