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.
authors.affiliation: Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA.
authors.forename: R E Lee
authors.initials: RE
authors.lastname: Deville
authors.forename: Cyrill B
authors.initials: CB
authors.lastname: Muratov
authors.forename: Eric
authors.initials: E
authors.lastname: Vanden-Eijnden
mesh_terms: D055598:Chemical Phenomena; D002621:Chemistry; D003198:Computer Simulation; D004735:Energy Transfer; D007700:Kinetics; D008956:Models, Chemical; D009010:Monte Carlo Method