Noisy Kuramoto-Sivashinsky equation for an erosion model

被引:71
|
作者
Lauritsen, KB
Cuerno, R
Makse, HA
机构
[1] UNIV CARLOS III MADRID,DEPT MATEMAT,LEGANES 28911,SPAIN
[2] UNIV CARLOS III MADRID,GISC,LEGANES 28911,SPAIN
[3] BOSTON UNIV,CTR POLYMER STUDIES,BOSTON,MA 02215
[4] BOSTON UNIV,DEPT PHYS,BOSTON,MA 02215
来源
PHYSICAL REVIEW E | 1996年 / 54卷 / 04期
关键词
D O I
10.1103/PhysRevE.54.3577
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 derive the continuum equation for a discrete model for ion sputtering. We follow an approach based on the master equation, and discuss how it can be truncated to a Fokker-Planck equation and mapped to a discrete Langevin equation. By taking the continuum limit, we arrive at the Kuramoto-Sivashinsky equation with a stochastic noise term.
引用
收藏
页码:3577 / 3580
页数:4
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