Universal algebraic relaxation of fronts propagating into an unstable state and implications for moving boundary approximations

被引：58

作者：

Ebert, U ^{[1
]}

van Saarloos, W ^{[1
]}

机构：

[1] Leiden Univ, Inst Lorentz, NL-2300 RA Leiden, Netherlands

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 80卷 / 08期

关键词：

D O I：

10.1103/PhysRevLett.80.1650

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyze the relaxation of fronts propagating into unstable states. While "pushed" fronts relax exponentially like fronts propagating into a metastable state, "pulled" or "linear marginal stability" fronts relax algebraically. As a result, for thin fronts of this type. the standard moving boundary approximation fails. The leading relaxation terms for velocity and shape are of order 1/t and 1(/t3/2). These universal terms are calculated exactly with a new systematic analysis that unifies various heuristic approaches to front propagation.

引用

页码：1650 / 1653

页数：4

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