Repository: Freie Universit├Ąt Berlin, Math Department

Large deviations of reaction fluxes

Patterson, R. I. A and Renger, M. (2018) Large deviations of reaction fluxes. SFB 1114 Preprint in arXiv:1802.02512 . pp. 1-21. (Unpublished)

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Official URL: https://arxiv.org/abs/1802.02512

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.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
ID Code:2198
Deposited By: Silvia Hoemke
Deposited On:09 Feb 2018 13:35
Last Modified:09 Feb 2018 13:35

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