Subcritical bifurcation in spatially extended systems

E. Weinan, Xiang Zhou, Xiuyuan Cheng

Research output: Contribution to journalArticle

7 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 languageEnglish (US)
Pages (from-to)761-779
Number of pages19
JournalNonlinearity
Volume25
Issue number3
DOIs
StatePublished - Mar 2012

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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