WIAS Preprint No. 2491, (2018)

Large deviations of reaction fluxes


Authors

  • Patterson, Robert I. A.
  • Renger, D. R. Michiel
    ORCID: 0000-0003-3557-3485

2010 Mathematics Subject Classification

  • 60F10 60J25 80A30 82C22

2010 Physics and Astronomy Classification Scheme

  • 82.40.Bj 82.60.-s82.20.Db 82.20.Fd

Keywords

  • Chemical reaction networks, large deviations, Markov processes

DOI

10.20347/WIAS.PREPRINT.2491

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.

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