Renger, M. (2018) Flux large deviations of independent and reacting particle systems, with implications for macroscopic fluctuation theory. J. Stat. Phys., 172 (5). pp. 12611326. ISSN 00224715

PDF
434kB 
Official URL: https://dx.doi.org/10.1007/s1095501820830
Abstract
We consider a system of independent particles on a finite state space, and prove a dynamic largedeviation principle for the empirical measureempirical 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 largedeviation principle. We then show how to use this result to generalise a number of principles from Macroscopic Fluctuation Theory to the finitespace 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 
Repository Staff Only: item control page