Non-meanfield deterministic limits in chemical reaction kinetics | Zendy

Robert Deville | Zendy; Cyrill B. Muratov | Zendy; Eric VandenEijnden | Zendy

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Non-meanfield deterministic limits in chemical reaction kinetics

Author(s) -

Robert Deville,

Cyrill B. Muratov,

Eric VandenEijnden

Publication year - 2006

Publication title -

the journal of chemical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.071

H-Index - 357

eISSN - 1089-7690

pISSN - 0021-9606

DOI - 10.1063/1.2217013

Subject(s) - chemical kinetics , kinetics , biochemical engineering , statistical physics , engineering , physics , classical mechanics

A general mechanism is proposed by which small intrinsic fluctuations in asystem far from equilibrium can result in nearly deterministic dynamicalbehaviors which are markedly distinct from those realized in the meanfieldlimit. The mechanism is demonstrated for the kinetic Monte-Carlo version of theSchnakenberg reaction where we identified a scaling limit in which the globaldeterministic bifurcation picture is fundamentally altered by fluctuations.Numerical simulations of the model are found to be in quantitative agreementwith theoretical predictions.Comment: 4 pages, 4 figures (submitted to Phys. Rev. Lett.

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