Stochastic Turing patterns on a network

被引：37

作者：

Asslani, Malbor ^{[1
]}

Di Patti, Francesca ^{[2
,3
]}

Fanelli, Duccio ^{[2
,3
]}

机构：

[1] Univ Insubria, Dipartimento Sci & Alta Tecnol, I-22100 Como, Italy

[2] Univ Firenze, Dipartimento Energet Sergio Stecco, I-50139 Florence, Italy

[3] Ist Nazl Fis Nucl, Sez Firenze, I-50019 Florence, Italy

来源：

PHYSICAL REVIEW E | 2012年 / 86卷 / 04期

关键词：

MODEL; INSTABILITIES;

D O I：

10.1103/PhysRevE.86.046105

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：

The process of stochastic Turing instability on a scale-free network is discussed for a specific case study: the stochastic Brusselator model. The system is shown to spontaneously differentiate into activator-rich and activator-poor nodes outside the region of parameters classically deputed to the deterministic Turing instability. This phenomenon, as revealed by direct stochastic simulations, is explained analytically and eventually traced back to the finite-size corrections stemming from the inherent graininess of the scrutinized medium.

引用

页数：6

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