Non-meanfield deterministic limits in chemical reaction kinetics

R. E. Lee DeVille; Cyrill B. Muratov; Eric Vanden-Eijnden

doi:10.1063/1.2217013

Non-meanfield deterministic limits in chemical reaction kinetics

R. E. Lee DeVille, Cyrill B. Muratov, Eric Vanden-Eijnden

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24 Scopus citations

Abstract

A general mechanism is proposed by which small intrinsic fluctuations in a system far from equilibrium can result in nearly deterministic dynamical behaviors which are markedly distinct from those realized in the meanfield limit. The mechanism is demonstrated for the kinetic Monte Carlo version of the Schnakenberg reaction where we identified a scaling limit in which the global deterministic bifurcation picture is fundamentally altered by fluctuations. Numerical simulations of the model are found to be in quantitative agreement with theoretical predictions.

Original language	English (US)
Article number	231102
Journal	Journal of Chemical Physics
Volume	124
Issue number	23
DOIs	https://doi.org/10.1063/1.2217013
State	Published - Jun 21 2006

All Science Journal Classification (ASJC) codes

General Physics and Astronomy
Physical and Theoretical Chemistry

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10.1063/1.2217013

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title = "Non-meanfield deterministic limits in chemical reaction kinetics",

abstract = "A general mechanism is proposed by which small intrinsic fluctuations in a system far from equilibrium can result in nearly deterministic dynamical behaviors which are markedly distinct from those realized in the meanfield limit. The mechanism is demonstrated for the kinetic Monte Carlo version of the Schnakenberg reaction where we identified a scaling limit in which the global deterministic bifurcation picture is fundamentally altered by fluctuations. Numerical simulations of the model are found to be in quantitative agreement with theoretical predictions.",

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Non-meanfield deterministic limits in chemical reaction kinetics

Abstract

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