RENORMALIZATION-GROUP ANALYSIS OF A NOISY KURAMOTO-SIVASHINSKY EQUATION

Authors
CUERNO R LAURITSEN KB
Citation
R. Cuerno et Kb. Lauritsen, RENORMALIZATION-GROUP ANALYSIS OF A NOISY KURAMOTO-SIVASHINSKY EQUATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(5), 1995, pp. 4853-4859
Citations number
46
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
52
Issue
5
Year of publication
1995
Part
A
Pages
4853 - 4859
Database
ISI
SICI code
1063-651X(1995)52:5<4853:RAOANK>2.0.ZU;2-N
Abstract
We have analyzed the Kuramoto-Sivashinsky equation with a stochastic n oise term through a dynamic renormalization-group calculation. For a s ystem in which the lattice spacing is smaller than the typical wavelen gth of the linear instability occurring in the system, the large dista nce and long-time behavior of this equation is the same as for the Kar dar-Parisi-Zhang equation in one and two spatial dimensions. For the d = 2 case the agreement is only qualitative. On the other hand, when c oarse graining on larger scales the asymptotic how depends on the init ial values of the parameters.