# Large deviations of reaction fluxes

Source: [Large deviations of reaction fluxes](<https://www.sota2.com/research/paper/68fa56411e209131ce99b458>)

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

Data updated: 2025-10-27T05:11:52.264Z

Authors: Robert Patterson, Michiel Renger

Published: 2018-02-07T16:34:51.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1802.02512>)

[PDF](<https://arxiv.org/pdf/1802.02512.pdf>)