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

Source: [Non-meanfield deterministic limits in chemical reaction kinetics far from equilibrium](<https://www.sota2.com/research/paper/68fa5ebd1e209131ce9e4cb2>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T18:57:49.096Z

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

Published: 2005-12-25T15:42:03.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/q-bio/0512043>)

[PDF](<https://arxiv.org/pdf/q-bio/0512043.pdf>)