Stretched exponential relaxation in the mode-coupling theory for the Kardar-Parisi-Zhang equation

被引：32

作者：

Colaiori, F ^{[1
]}

Moore, MA ^{[1
]}

机构：

[1] Univ Manchester, Dept Phys & Astron, Manchester M13 9PL, Lancs, England

来源：

PHYSICAL REVIEW E | 2001年 / 63卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.63.057103

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 study the mode-coupling theory for the Kardar-Parisi-Zhang equation in the strong-coupling regime, focusing on the long time properties. By a saddle point analysis of the mode-coupling equations, we derive exact results for the correlation function in the long-time limit-a limit that is hard to study using simulations. The correlation function at wave vector k in dimension d is found to behave asymptotically at time t as C(k,t) similar or equal to A/k(d+4-2z)(Btk(z))(gamma /z) exp[-(Btk(z))(1/z)], with gamma=(d-1)/2, A determined constant, and B a scale factor.

引用

页数：4

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