Origins of scaling relations in nonequilibrium growth

被引：29

作者：

Escudero, Carlos ^{[1
,2
]}

Korutcheva, Elka ^{[3
,4
]}

机构：

[1] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

[2] Univ Autonoma Madrid, ICMAT CSIC UAM UC3M UCM, E-28049 Madrid, Spain

[3] Univ Nacl Educ Distancia, Dept Fis Fundamental, E-28040 Madrid, Spain

[4] Bulgarian Acad Sci, G Nadjakov Inst Solid State Phys, BU-1784 Sofia, Bulgaria

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 12期

关键词：

RENORMALIZATION-GROUP ANALYSIS; PARISI-ZHANG-EQUATION; KURAMOTO-SIVASHINSKY EQUATION; MOLECULAR-BEAM-EPITAXY; CORRELATED NOISE; DEPOSITION; MODELS; INTERFACES; INVARIANCE; CONTINUUM;

D O I：

10.1088/1751-8113/45/12/125005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Scaling and hyperscaling laws provide exact relations among critical exponents describing the behavior of a system at criticality. For nonequilibrium growth models with a conserved drift, there exist few of them. One such relation is alpha + z = 4, found to be inexact in a renormalization group calculation for several classical models in this field. Herein, we focus on the two-dimensional case and show that it is possible to construct conserved surface growth equations for which the relation alpha + z = 4 is exact in the renormalization group sense. We explain the presence of this scaling law in terms of the existence of geometric principles dominating the dynamics.

引用

页数：14

共 40 条

[1]

[Anonymous], 1995, FRACTAL CONCEPT SURF, DOI DOI 10.1017/CBO9780511599798

[2]

[Anonymous], 2008, NONEQUILIBRIUM PHASE

[3] Gauge symmetry and Slavnov-Taylor identities for randomly stirred fluids [J].

Berera, Arjun ;

Hochberg, David .

PHYSICAL REVIEW LETTERS, 2007, 99 (25)

[4] Gauge fixing, BRS invariance and Ward identities for randomly stirred flows [J].

Berera, Arjun ;

Hochberg, David .

NUCLEAR PHYSICS B, 2009, 814 (03) :522-548

[5] RENORMALIZATION-GROUP ANALYSIS OF A NOISY KURAMOTO-SIVASHINSKY EQUATION [J].

CUERNO, R ;

LAURITSEN, KB .

PHYSICAL REVIEW E, 1995, 52 (05) :4853-4859

[6] Nonlinear stochastic equations with calculable steady states [J].

da Silveira, RA ;

Kardar, M .

PHYSICAL REVIEW E, 2003, 68 (04)

[7] Geometric Principles of Surface Growth [J].

Escudero, Carlos .

PHYSICAL REVIEW LETTERS, 2008, 101 (19)

[8] 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

[9] Scaling regimes and critical dimensions in the Kardar-Parisi-Zhang problem [J].

Frey, E ;

Täuber, UC ;

Janssen, HK .

EUROPHYSICS LETTERS, 1999, 47 (01) :14-20

[10] Multiscale theory of fluctuating interfaces: Renormalization of atomistic models [J].

Haselwandter, Christoph A. ;

Vvedensky, Dimitri D. .

PHYSICAL REVIEW LETTERS, 2007, 98 (04)

← 1 2 3 4 →