Non-meanfield deterministic limits in chemical reaction kinetics

Authors

R. E. Lee DeVille, Courant Institute of Mathematical Sciences
Cyrill B. Muratov, New Jersey Institute of Technology
Eric Vanden-Eijnden, Courant Institute of Mathematical Sciences

Document Type

Article

Publication Date

6-21-2006

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. © 2006 American Institute of Physics.

Identifier

33745420598 (Scopus)

Publication Title

Journal of Chemical Physics

External Full Text Location

https://doi.org/10.1063/1.2217013

ISSN

00219606

PubMed ID

16821899

Issue

23

Volume

124

Grant

R01GM076690

Fund Ref

National Institute of General Medical Sciences

Recommended Citation

Lee DeVille, R. E.; Muratov, Cyrill B.; and Vanden-Eijnden, Eric, "Non-meanfield deterministic limits in chemical reaction kinetics" (2006). Faculty Publications. 18920.
https://digitalcommons.njit.edu/fac_pubs/18920