Universality classes of the Kardar-Parisi-Zhang equation

被引：17

作者：

Canet, L. ^{[1
]}

Moore, M. A.

机构：

[1] CEA Saclay, Serv Phys Etat Condense, F-91191 Gif Sur Yvette, France

[2] Univ Manchester, Sch Phys & Astron, Manchester M13 9PL, Lancs, England

来源：

PHYSICAL REVIEW LETTERS | 2007年 / 98卷 / 20期

关键词：

D O I：

10.1103/PhysRevLett.98.200602

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We reexamine mode-coupling theory for the Kardar-Parisi-Zhang equation in the strong-coupling limit and show that there exist two branches of solutions. One branch (or universality class) exists only for dimensionalities d < d(c)=2 and is similar to that found by a variety of analytic approaches, including replica symmetry breaking and Flory-Imry-Ma arguments. The second branch exists up to d(c)=4 and gives values for the dynamical exponent z similar to those of numerical studies for d >= 2.

引用

页数：4

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