Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/7169
Title: Macroscopic limit cycle via noise-induced phase transition
Authors: KAWAI, Ryoichi 
Sailer, X.
Schimansky-Geier, L.
VAN DEN BROECK, Christian 
Issue Date: 2004
Publisher: AMERICAN PHYSICAL SOC
Source: Physical review: E: statistical physics, plasmas, fluids, and related interdisciplinary topics, 69(5). p. 051104-...
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.
Document URI: http://hdl.handle.net/1942/7169
ISSN: 1063-651X
DOI: 10.1103/PhysRevE.69.051104
ISI #: 000221813100009
Category: A1
Type: Journal Contribution
Validations: ecoom 2005
Appears in Collections:Research publications

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