RENORMALIZATION-GROUP ANALYSIS OF A NOISY KURAMOTO-SIVASHINSKY EQUATION

被引：49

作者：

CUERNO, R ^{[1
]}

LAURITSEN, KB ^{[1
]}

机构：

[1] BOSTON UNIV,DEPT PHYS,BOSTON,MA 02215

来源：

PHYSICAL REVIEW E | 1995年 / 52卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.52.4853

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 have analyzed the Kuramoto-Sivashinsky equation with a stochastic noise term through a dynamic renormalization-group calculation. For a system in which the lattice spacing is smaller than the typical wavelength of the linear instability occurring in the system, the large distance and long-time behavior of this equation is the same as for the Kardar-Parisi-Zhang equation in one and two spatial dimensions. For the d = 2 case the agreement is only qualitative. On the other hand, when coarse graining on larger scales the asymptotic how depends on the initial values of the parameters.

引用

页码：4853 / 4859

页数：7

共 46 条

[21] DYNAMIC SCALING OF GROWING INTERFACES
KARDAR, M
PARISI, G
ZHANG, YC
[J]. PHYSICAL REVIEW LETTERS, 1986, 56 (09) : 889 - 892
[22] SCANNING TUNNELING MICROSCOPY OBSERVATION OF SELF-AFFINE FRACTAL ROUGHNESS IN ION-BOMBARDED FILM SURFACES
KRIM, J
HEYVAERT, I
VANHAESENDONCK, C
BRUYNSERAEDE, Y
[J]. PHYSICAL REVIEW LETTERS, 1993, 70 (01) : 57 - 60
[23] KRUG J, 1991, SOLIDS EQUILIBRIUM G
[24] Kuramoto Y., 1984, CHEM OSCILLATIONS WA
[25] KURAMOTO Y, 1977, PROG THEOR PHYS, V55, P356
[26] KINETIC GROWTH WITH SURFACE RELAXATION - CONTINUUM VERSUS ATOMISTIC MODELS
LAI, ZW
DASSARMA, S
[J]. PHYSICAL REVIEW LETTERS, 1991, 66 (18) : 2348 - 2351
[27] LAURITSEN KB, 1994, THESIS AARHUS U
[28] Li J., UNPUB
[29] UNIVERSAL PROPERTIES OF THE 2-DIMENSIONAL KURAMOTO-SIVASHINSKY EQUATION - COMMENT
LVOV, V
PROCACCIA, I
[J]. PHYSICAL REVIEW LETTERS, 1994, 72 (02) : 307 - 307
[30] COMPARISON OF THE SCALE INVARIANT SOLUTIONS OF THE KURAMOTO-SIVASHINSKY AND KARDAR-PARISI-ZHANG EQUATIONS IN D-DIMENSIONS
LVOV, VS
PROCACCIA, I
[J]. PHYSICAL REVIEW LETTERS, 1992, 69 (24) : 3543 - 3546

← 1 2 3 4 5 →