RENORMALIZATION-GROUP ANALYSIS OF A NOISY KURAMOTO-SIVASHINSKY EQUATION

被引：51
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.
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页码：4853 / 4859
页数：7
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