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Non-meanfield deterministic limits in chemical reaction kinetics far from equilibrium

R. E. Lee DeVille·Cyrill B. Muratov·Eric Vanden-Eijnden
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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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R. E. Lee DeVille, Cyrill B. Muratov, Eric Vanden-Eijnden. 2005-12-25. Non-meanfield deterministic limits in chemical reaction kinetics far from equilibrium. https://doi.org/10.1063/1.2217013

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