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

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

10 Citations (Scopus)

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. © 2012 IOP Publishing Ltd & London Mathematical Society.

Original language	English
Pages (from-to)	761-779
Journal	Nonlinearity
Volume	25
Issue number	3
DOIs	https://doi.org/10.1088/0951-7715/25/3/761
Publication status	Published - Mar 2012
Externally published	Yes

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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. {\textcopyright} 2012 IOP Publishing Ltd \& London Mathematical Society.",

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

year = "2012",

month = mar,

doi = "10.1088/0951-7715/25/3/761",

language = "English",

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pages = "761--779",

journal = "Nonlinearity",

issn = "0951-7715",

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TY - JOUR

T1 - Subcritical bifurcation in spatially extended systems

AU - Weinan, E.

AU - Zhou, Xiang

AU - Cheng, Xiuyuan

PY - 2012/3

Y1 - 2012/3

N2 - 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. © 2012 IOP Publishing Ltd & London Mathematical Society.

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. © 2012 IOP Publishing Ltd & London Mathematical Society.

UR - https://www.scopus.com/pages/publications/84863119950

UR - https://www.scopus.com/pages/publications/84863119950#tab=impact

U2 - 10.1088/0951-7715/25/3/761

DO - 10.1088/0951-7715/25/3/761

M3 - RGC 21 - Publication in refereed journal

SN - 0951-7715

VL - 25

SP - 761

EP - 779

JO - Nonlinearity

JF - Nonlinearity

IS - 3

ER -

Subcritical bifurcation in spatially extended systems

Abstract

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