Stochastic transitions through unstable limit cycles in a model of bistable thermochemical system

Physical Chemistry Chemical Physics : PCCP
Andrzej L Kawczyński, B Nowakowski

Abstract

The master equation approach is used to study transitions through an unstable limit cycle surrounding a stable focus in two-variable systems with three stationary states. The model considered describes a bistable thermochemical system. Two cases are studied. In the first one transitions occur from a basin of attraction of a stable limit cycle to a basin of attraction of a stable focus surrounded by an unstable limit cycle. In the second case, stochastic trajectories cross the unstable limit cycle going from a basin of attraction of a stable node to a basin of attraction of a stable focus. Distribution functions of the first passage time between these attractors are calculated and discussed for systems with various numbers of particles. The distribution functions in both cases exhibit a multi-peak character. A fine structure of single peaks is observed in the first case.

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Citations

Nov 5, 2013·The Journal of Chemical Physics·Shyamolina Ghosh, Deb Shankar Ray
Jan 26, 2016·Physical Chemistry Chemical Physics : PCCP·J GoreckiA Lemarchand
Feb 25, 2009·Expert Opinion on Drug Metabolism & Toxicology·Paul CzodrowskiThomas Fox
Jul 9, 2013·Spectrochimica Acta. Part A, Molecular and Biomolecular Spectroscopy·Hasan Tanak, Mehmet Toy
Feb 21, 2009·Faraday Discussions·Pavel Jungwirth
Mar 5, 2008·Biopolymers·Abhigyan SomGregory N Tew
Sep 27, 2008·Physical Chemistry Chemical Physics : PCCP·A Z IvanovićS R Anić
Sep 8, 2010·Physical Chemistry Chemical Physics : PCCP·Anna KolbusBogdan Nowakowski
Mar 25, 2014·Physical Review Letters·Florin Ionita, Hildegard Meyer-Ortmanns
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A LemarchandB Nowakowski

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