Geodesic
Exhaustive study of the~noise-induced phase transition in a~stochastic model of self-catalyzed reactions
Teoretičeskaâ i matematičeskaâ fizika, Tome 188 (2016) no. 2, pp. 318-336

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We completely investigate the stationary distribution density in the space of relative concentrations for the three-parameter stochastic Horsthemke–Lefever model of a binary self-catalyzed cyclic chemical reaction with perturbations produced by thermal fluctuations of reagents taken into account. This model is a stationary diffusion random process generated by a stochastic equation with the Stratonovich differential, whose marginal distribution density admits a bifurcation restructuring from the unimodal to the bimodal phase with increasing noise intensity, which is interpreted physically as a dynamical phase transition induced by fluctuations in the system.
Mots-clés : bimodal distribution, bifurcation, diffusion Markov process, Fokker–Planck equation, fluctuationbimodal distribution, bifurcation, diffusion Markov process, Fokker–Planck equation, fluctuation.
Keywords: critical surface, stoichiometric coefficient, stochastic differential equation, chemical kinetics equation, phase diagram, noise-induced phase transition, critical surface, stoichiometric coefficient, stochastic differential equation, chemical kinetics equation, phase diagram, noise-induced phase transition 
@article{TMF_2016_188_2_a6,
     author = {T. M. Pham and Yu. P. Virchenko},
     title = {Exhaustive study of the~noise-induced phase transition in a~stochastic model of self-catalyzed reactions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {318--336},
     publisher = {mathdoc},
     volume = {188},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2016_188_2_a6/}
}
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T. M. Pham; Yu. P. Virchenko. Exhaustive study of the~noise-induced phase transition in a~stochastic model of self-catalyzed reactions. Teoretičeskaâ i matematičeskaâ fizika, Tome 188 (2016) no. 2, pp. 318-336. http://geodesic.mathdoc.fr/item/TMF_2016_188_2_a6/