Fluctuations in a nonlinear reaction-diffusion model. (English) Zbl 0758.60108

Kotelenez, Peter

Ann. Appl. Probab. 2, No. 3, 669-694 (1992).

This paper presents a law of large numbers and a central limit theorem for a locally interacting particle system which describes a chemical reaction with diffusion with linear creation and quadratic annihilation of particles.

Reviewer: L.G.Gorostiza (Mexico City)

MSC:

60K35	Interacting random processes; statistical mechanics type models; percolation theory
60G57	Random measures
60H15	Stochastic partial differential equations (aspects of stochastic analysis)
35K55	Nonlinear parabolic equations
60F17	Functional limit theorems; invariance principles
60J70	Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.)

Keywords:

law of large numbers; central limit theorem; locally interacting particle; linear creation and quadratic annihilation of particles