Subcritical bifurcation in spatially extended systems

E. Weinan; Xiang Zhou; Xiuyuan Cheng

doi:10.1088/0951-7715/25/3/761

Subcritical bifurcation in spatially extended systems

E. Weinan, Xiang Zhou, Xiuyuan Cheng

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	761-779
Number of pages	19
Journal	Nonlinearity
Volume	25
Issue number	3
DOIs	https://doi.org/10.1088/0951-7715/25/3/761
State	Published - Mar 2012

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1088/0951-7715/25/3/761

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title = "Subcritical bifurcation in spatially extended systems",

abstract = "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.",

author = "E. Weinan and Xiang Zhou and Xiuyuan Cheng",

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AU - Zhou, Xiang

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AB - 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.

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SP - 761

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JO - Nonlinearity

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Subcritical bifurcation in spatially extended systems

Abstract

All Science Journal Classification (ASJC) codes

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