Flux large deviations of independent and reacting particle systems, with implications for macroscopic fluctuation theory
- Renger, D. R. Michiel
2010 Mathematics Subject Classification
- 46N55 60F10 60J27 82C35
2008 Physics and Astronomy Classification Scheme
- 05.40.-a 05.70.Ln 82.40.Bj 82.20.Fd
- empirical measure, empirical flux, discrete space, large deviations, Macroscopic Fluctuation Theory
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.
- J. Statist. Phys., 172 (2018), pp. 1291--1326, DOI 10.1007/s10955-018-2083-0 .