Hydrodynamic limit and large deviations of reaction-diffusion master equations

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Item Type:	Preprint
Title:	Hydrodynamic limit and large deviations of reaction-diffusion master equations
Creators Name:	Mittnenzweig, M.
Abstract:	We derive the hydrodynamic limit of a reaction-diffusion master equation, that combines an exclusion process with a reversible chemical master equation expression for the reaction rates. The crucial assumption is that the associated macroscopic reaction network has a detailed balance equilibrium. The hydrodynamic limit is given by a system of reaction-diffusion equations with a modified mass action law for the reaction rates. We provide the upper bound for large deviations of the empirical measure from the hydrodynamic limit.
Keywords:	Reaction-Diffusion Master Equation, Hydrodynamic Limit, Large Deviations, Interacting Particle Systems
Source:	WIAS
Publisher:	Weierstrass Institute
Article Number:	2521
Date:	16 July 2018
Official Publication:	https://doi.org/10.20347/WIAS.PREPRINT.2521

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