A stochastic particle system: Fluctuations around a nonlinear reaction-diffusion equation

Peter Dittrich

Stochastic Processes and their Applications, 1988, vol. 30, issue 1, 149-164

Abstract: A locally interacting particle system is studied which can be interpreted as a stochastic model of a chemical reaction with diffusion. We establish a central limit theorem for the empirical distribution, using an asymptotic expansion of correlation functions.

Keywords: stochastic; interacting; particle; systems; nonlinear; reaction-diffusion; equation; hydrodynamical; behaviour; fluctuation-dissipation; theorem; propagation; of; chaos; BBGKY; hierarchy (search for similar items in EconPapers)
Date: 1988
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