PMID: 15244805Jul 13, 2004Paper

Macroscopic limit cycle via pure noise-induced phase transitions

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
R KawaiC Van den Broeck

Abstract

Bistability generated via a pure noise-induced phase transition is reexamined from the view of bifurcations in macroscopic cumulant dynamics. It allows an analytical study of the phase diagram in more general cases than previous methods. In addition, using this approach we investigate spatially extended systems with two degrees of freedom per site. For this system, the analytic solution of the stationary Fokker-Planck equation is not available and a standard mean field approach cannot be used to find noise-induced phase transitions. A different approach based on cumulant dynamics predicts a noise-induced phase transition through a Hopf bifurcation leading to a macroscopic limit cycle motion, which is confirmed by numerical simulation.

References

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Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·P ReimannR Kawai
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A A ZaikinL Schimansky-Geier
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J BucetaKatja Lindenberg

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Citations

May 25, 2012·The European Physical Journal. E, Soft Matter·K DierkesB Lindner
Aug 21, 2007·The Journal of Chemical Physics·Syed Shahed RiazD S Ray
Jun 28, 2011·Progress in Biophysics and Molecular Biology·Zhilin QuMelissa Nivala
Nov 30, 2006·Angewandte Chemie·Euan R KayFrancesco Zerbetto
Jun 29, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·X SailerL Schimansky-Geier
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Romi MankinEerik Reiter
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M PinedaR Imbihl
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·David Cubero
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jong-Hoon HuhShoichi Kai
Jul 7, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Roman V Bobryk
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S E KurushinaYu M Romanovskii
Sep 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jong-Hoon Huh
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlos EscuderoPhilip K Maini
Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Katrin LaasAstrid Rekker
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Francisco J CaoKatja Lindenberg
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Kevin WoodKatja Lindenberg
May 23, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J BucetaKatja Lindenberg

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