FLUCTUATIONS AND STABILITY OF FISHER WAVES

被引：72

作者：

RIORDAN, J ^{[1
]}

DOERING, CR ^{[1
]}

BENAVRAHAM, D ^{[1
]}

机构：

[1] CLARKSON UNIV, DEPT PHYS, POTSDAM, NY 13699 USA

来源：

PHYSICAL REVIEW LETTERS | 1995年 / 75卷 / 03期

关键词：

D O I：

10.1103/PhysRevLett.75.565

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We have performed direct Monte Carlo simulations of the reversible diffusion-limited process A + A <-> A to study the effect of fluctuations on a propagating interface between stable and unstable phases. The mean-field description of this process, Fisher's reaction-diffusion equation, admits stable nonlinear wave fronts. We find that this mean-field description breaks down in spatial dimensions 1 and 2, while it appears to be qualitatively and quantitatively accurate at and above 4 dimensions. In particular, the interface width grows similar to t(1/2) in 1D (exact) and similar to t(0.272+/-0.007) in 2D (numerical).

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页码：565 / 568

页数：4

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