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.

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页码：8977 / 8980

页数：4

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