Subcritical bifurcation in spatially extended systems

被引：5

作者：

E, Weinan ^{[1
,2
]}

Zhou, Xiang ^{[3
]}

Cheng, Xiuyuan ^{[2
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[2] Princeton Univ, Program Appl & Computat Math, Princeton, NJ 08544 USA

[3] Brown Univ, Div Appl Math, Providence, RI 02912 USA

来源：

NONLINEARITY | 2012年 / 25卷 / 03期

关键词：

REACTION-DIFFUSION SYSTEM; THERMALLY-INDUCED ESCAPE; EQUATION; DYNAMICS; ENERGY; NOISE;

D O I：

10.1088/0951-7715/25/3/761

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A theory for noise-driven subcritical instabilities in spatially extended systems is put forward. The theory allows one to calculate the critical bifurcation parameter for a first-order phase transition in such non-equilibrium systems in the thermodynamic limit and analyse the mechanism of phase transition. Two examples with distinctive features are studied in detail to demonstrate the usefulness of the theory and the different scenarios that can occur in the thermodynamic limit of non-equilibrium systems.

引用

页码：761 / 779

页数：19

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