Non-meanfield deterministic limits in chemical reaction kinetics.

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

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)231102
Number of pages1
JournalJournal of Chemical Physics
Volume124
Issue number23
DOIs
StatePublished - Jun 21 2006

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Reaction kinetics
Chemical reactions
chemical reactions
reaction kinetics
Kinetics
Computer simulation
scaling
kinetics
predictions
simulation

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Non-meanfield deterministic limits in chemical reaction kinetics. / Lee DeVille, R. E.; Muratov, Cyrill B.; Vanden Eijnden, Eric.

In: Journal of Chemical Physics, Vol. 124, No. 23, 21.06.2006, p. 231102.

Research output: Contribution to journalArticle

Lee DeVille, R. E. ; Muratov, Cyrill B. ; Vanden Eijnden, Eric. / Non-meanfield deterministic limits in chemical reaction kinetics. In: Journal of Chemical Physics. 2006 ; Vol. 124, No. 23. pp. 231102.
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