Fluctuations near homogeneous states of chemical reactions with diffusion
- 1 June 1987
- journal article
- research article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 19 (2) , 352-370
- https://doi.org/10.2307/1427423
Abstract
Conditions are given under which a space-time jump Markov process describing the stochastic model of non-linear chemical reactions with diffusion converges to the homogeneous state solution of the corresponding reaction-diffusion equation. The deviation is measured by a central limit theorem. This limit is a distribution-valued Ornstein–Uhlenbeck process and can be represented as the mild solution of a certain stochastic partial differential equation.This publication has 26 references indexed in Scilit:
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