Pattern formation and localized structures in reaction-diffusion systems with non-Fickian transport

被引：31

作者：

Clerc, M. G. ^{[1
]}

Tirapegui, E. ^{[1
]}

Trejo, M. ^{[1
]}

机构：

[1] Univ Chile, Fac Ciencias Fis & Matemat, Dept Fis, Santiago, Chile

来源：

PHYSICAL REVIEW LETTERS | 2006年 / 97卷 / 17期

关键词：

D O I：

10.1103/PhysRevLett.97.176102

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the robust dynamical behaviors of reaction-diffusion systems where the transport gives rise to non-Fickian diffusion. A prototype model describing the deposition of molecules in a surface is used to show the generic appearance of Turing structures which can coexist with homogeneous states giving rise to localized structures through the pinning mechanism. The characteristic lengths of these structures are in the nanometer region in agreement with recent experimental observations.

引用

页数：4

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