LANGEVIN APPROACH TO INTERFACE STATISTICS AND DIFFUSION-LIMITED REACTIONS

被引：20
|
作者：
ZUMOFEN, G
KLAFTER, J
BLUMEN, A
机构：
[1] TEL AVIV UNIV, SCH CHEM, IL-69978 TEL AVIV, ISRAEL
[2] UNIV FREIBURG, W-7800 FREIBURG, GERMANY
来源：
PHYSICAL REVIEW A | 1992年 / 45卷 / 12期
关键词：
D O I：
10.1103/PhysRevA.45.8977
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this paper we study the linear Langevin equation related to interface-growth phenomena and to diffusion-limited reactions. Using a discretized scheme and the Chapman-Kolmogorov relation, we derive an expression for the time evolution of the mean-squared fluctuations, an expression valid both for Euclidean and fractal lattices. The theoretical analysis is corroborated by numerical investigations carried out for Euclidean lattices and fractals.
引用
收藏
页码：8977 / 8980
页数：4
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