Time-delayed reaction-diffusion fronts

被引：10

作者：

Isern, Neus ^{[1
]}

Fort, Joaquim ^{[1
]}

机构：

[1] Univ Girona, Dept Fis, Girona 17071, Catalonia, Spain

来源：

PHYSICAL REVIEW E | 2009年 / 80卷 / 05期

关键词：

delays; reaction-diffusion systems;

D O I：

10.1103/PhysRevE.80.057103

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：

A time-delayed second-order approximation for the front speed in reaction-dispersion systems was obtained by Fort and Meacutendez [Phys. Rev. Lett. 82, 867 (1999)]. Here we show that taking proper care of the effect of the time delay on the reactive process yields a different evolution equation and, therefore, an alternate equation for the front speed. We apply the new equation to the Neolithic transition. For this application the new equation yields speeds about 10% slower than the previous one.

引用

页数：4

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