Exhaustive study of the noise-induced phase transition in a stochastic model of self-catalyzed reactions

DOI10.1134/S0040577916080079zbMath1349.82049OpenAlexW2547204184MaRDI QIDQ341256

Yu. P. Virchenko, Tuan M. Pham

Publication date: 16 November 2016

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577916080079

zbMATH Keywords

stochastic differential equationFokker-Planck equationbifurcationphase diagramfluctuationcritical surfacebimodal distributionchemical kinetics equationdiffusion Markov processnoise-induced phase transitionstoichiometric coefficient

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Dynamic critical phenomena in statistical mechanics (82C27)

Cites Work

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• On the Convergence of Ordinary Integrals to Stochastic Integrals
• A New Representation for Stochastic Integrals and Equations
• Stochastic Differential Equations in a Differentiable Manifold
• Eigenfunction Expansions Associated With Singular Differential Operators

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