English

Large deviations of reaction fluxes

Probability 2019-10-02 v2

Abstract

We study a system of interacting particles that randomly react to form new particles. The reaction flux is the rescaled number of reactions that take place in a time interval. We prove a dynamic large-deviation principle for the reaction fluxes under general assumptions that include mass-action kinetics. This result immediately implies the dynamic large deviations for the empirical concentration.

Keywords

Cite

@article{arxiv.1802.02512,
  title  = {Large deviations of reaction fluxes},
  author = {Robert Patterson and Michiel Renger},
  journal= {arXiv preprint arXiv:1802.02512},
  year   = {2019}
}
R2 v1 2026-06-23T00:14:46.084Z