LONG-WAVELENGTH PROPERTIES OF THE KURAMOTO-SIVASHINSKY EQUATION

被引:37
作者
HAYOT, F
JAYAPRAKASH, C
JOSSERAND, C
机构
[1] Department of Physics, Ohio State University, Columbus
来源
PHYSICAL REVIEW E | 1993年 / 47卷 / 02期
关键词
D O I
10.1103/PhysRevE.47.911
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 study the long-wavelength properties of the one-dimensional Kuramoto-Sivashinsky equation. We determine all the parameters in the effective long-wavelength equation, interpret the phenomenological coefficients in terms of microscopic quantities, and estimate the time and length scales where the behavior crosses over from linear diffusive to that of the full nonlinear equation. We corroborate our analysis by studying variants of the model with more general linear terms.
引用
收藏
页码:911 / 915
页数:5
相关论文
共 9 条
[1]   ORDER AND COMPLEXITY IN THE KURAMOTO-SIVASHINSKY MODEL OF WEAKLY TURBULENT INTERFACES [J].
HYMAN, JM ;
NICOLAENKO, B ;
ZALESKI, S .
PHYSICA D, 1986, 23 (1-3) :265-292
[2]   DYNAMIC SCALING OF GROWING INTERFACES [J].
KARDAR, M ;
PARISI, G ;
ZHANG, YC .
PHYSICAL REVIEW LETTERS, 1986, 56 (09) :889-892
[3]   AMPLITUDE UNIVERSALITY FOR DRIVEN INTERFACES AND DIRECTED POLYMERS IN RANDOM-MEDIA [J].
KRUG, J ;
MEAKIN, P ;
HALPINHEALY, T .
PHYSICAL REVIEW A, 1992, 45 (02) :638-653
[4]   PERSISTENT PROPAGATION OF CONCENTRATION WAVES IN DISSIPATIVE MEDIA FAR FROM THERMAL EQUILIBRIUM [J].
KURAMOTO, Y ;
TSUZUKI, T .
PROGRESS OF THEORETICAL PHYSICS, 1976, 55 (02) :356-369
[5]  
Manneville P, 1990, DISSIPATIVE STRUCTUR
[6]  
SIVASHINSKY GI, 1979, ACTA ASTRON, V6, P560
[7]  
SNEPPEN K, UNPUB
[8]   LARGE-SCALE PROPERTIES OF UNSTABLE SYSTEMS GOVERNED BY THE KURAMOTO-SIVASHINKSI EQUATION [J].
YAKHOT, V .
PHYSICAL REVIEW A, 1981, 24 (01) :642-644
[9]   A STOCHASTIC-MODEL FOR THE LARGE-SCALE DYNAMICS OF SOME FLUCTUATING INTERFACES [J].
ZALESKI, S .
PHYSICA D, 1989, 34 (03) :427-438