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

被引：97
|
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
收藏
页码：R1455 / R1458
页数：4
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