Universality classes of the Kardar-Parisi-Zhang equation

被引：16
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.
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页数：4
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