Repository: Freie Universit├Ąt Berlin, Math Department

Flux large deviations of independent and reacting particle systems, with implications for macroscopic fluctuation theory

Renger, M. (2018) Flux large deviations of independent and reacting particle systems, with implications for macroscopic fluctuation theory. J. Stat. Phys., 172 (5). pp. 1261-1326. ISSN 0022-4715

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Official URL: https://dx.doi.org/10.1007/s10955-018-2083-0

Abstract

We consider a system of independent particles on a finite state space, and prove a dynamic large-deviation principle for the empirical measure-empirical flux pair, taking the specific fluxes rather than net fluxes into account. We prove the large deviations under deterministic initial conditions, and under random initial conditions satisfying a large-deviation principle. We then show how to use this result to generalise a number of principles from Macroscopic Fluctuation Theory to the finite-space setting.

Item Type:Article
Additional Information:SFB 1114 Preprint 02/2017 in WIAS Preprint No. 2375 (http://dx.doi.org/10.20347/WIAS.PREPRINT.2375)
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
ID Code:2158
Deposited By: Silvia Hoemke
Deposited On:12 Dec 2017 14:37
Last Modified:01 Nov 2018 15:33

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