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The onset of instabilities in nonequilibrium systems
Authors:G. Nicolis  M. Malek-Mansour  A. Van Nypelseer  K. Kitahara
Affiliation:(1) Faculté des Sciences, Université de Bruxelles, Brussels, Belgium;(2) Chemistry Department, Massachusetts Institute of Technology, Cambridge, Massachusetts
Abstract:
The nonlinear master equation previously proposed by Malek-Mansour and Nicolis is applied to the analysis of unstable transitions leading to temporally or spatially organized patterns. Thecorrelation length of the destabilizing fluctuations is determined, and a number of striking analogies with equilibrium phase transitions are pointed out.
Keywords:Master equation  chemical kinetics  critical phenomena  nonequilibrium instabilities
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