Nonperturbative renormalization of the Kardar-Parisi-Zhang growth dynamics

被引：58

作者：

Castellano, C

Marsili, M

Pietronero, L

机构：

[1] Abdus Salam ICTP, I-34100 Trieste, Italy

[2] Int Sch Adv Studies, I-34014 Trieste, Italy

[3] Univ Rome, Dipartimento Fis, I-00185 Rome, Italy

[4] Univ Rome, INFM Unit, I-00185 Rome, Italy

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 80卷 / 16期

关键词：

D O I：

10.1103/PhysRevLett.80.3527

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce a nonperturbative renormalization approach which identifies stable fixed points in any dimension for the Kardar-Parisi-Zhang dynamics of rough surfaces. The usual limitations of real space methods to deal with anisotropic (self-affine) scaling are overcome with an indirect functional renormalization. The roughness exponent cv is computed for dimensions d = 1 to 8, and the results are in very good agreement with the available simulations. No evidence is found for an upper critical dimension. We discuss how the present approach can be extended to other self-affine problems.

引用

收藏

页码：3527 / 3530

页数：4

相关论文

共 18 条

[1] SCALING EXPONENTS FOR KINETIC ROUGHENING IN HIGHER DIMENSIONS [J].

ALANISSILA, T ;

HJELT, T ;

KOSTERLITZ, JM ;

VENALAINEN, O .

JOURNAL OF STATISTICAL PHYSICS, 1993, 72 (1-2) :207-225

[2] SELF-CONSISTENT APPROACH TO THE KARDAR-PARISI-ZHANG EQUATION [J].

BOUCHAUD, JP ;

CATES, ME .

PHYSICAL REVIEW E, 1993, 47 (03) :R1455-R1458

[3] PERSISTENCE OF SCREENING AND SELF-CRITICALITY IN THE SCALE-INVARIANT DYNAMICS OF DIFFUSION-LIMITED AGGREGATION [J].

CAFIERO, R ;

PIETRONERO, L ;

VESPIGNANI, A .

PHYSICAL REVIEW LETTERS, 1993, 70 (25) :3939-3942

[4]

CASTELLANO C, IN PRESS

[5] THE FIXED-SCALE TRANSFORMATION APPROACH TO FRACTAL GROWTH [J].

ERZAN, A ;

PIETRONERO, L ;

VESPIGNANI, A .

REVIEWS OF MODERN PHYSICS, 1995, 67 (03) :545-604

[6] LARGE-DISTANCE AND LONG-TIME PROPERTIES OF A RANDOMLY STIRRED FLUID [J].

FORSTER, D ;

NELSON, DR ;

STEPHEN, MJ .

PHYSICAL REVIEW A, 1977, 16 (02) :732-749

[7] Theory of self-organized criticality for problems with extremal dynamics [J].

Gabrielli, A ;

Cafiero, R ;

Marsili, M ;

Pietronero, L .

EUROPHYSICS LETTERS, 1997, 38 (07) :491-496

[8] KINETIC ROUGHENING PHENOMENA, STOCHASTIC GROWTH DIRECTED POLYMERS AND ALL THAT - ASPECTS OF MULTIDISCIPLINARY STATISTICAL-MECHANICS [J].

HALPINHEALY, T ;

ZHANG, YC .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1995, 254 (4-6) :215-415

[9] DISORDER-INDUCED ROUGHENING OF DIVERSE MANIFOLDS [J].

HALPINHEALY, T .

PHYSICAL REVIEW A, 1990, 42 (02) :711-722

[10] DYNAMIC SCALING OF GROWING INTERFACES [J].

KARDAR, M ;

PARISI, G ;

ZHANG, YC .

PHYSICAL REVIEW LETTERS, 1986, 56 (09) :889-892