The Annals of Applied Probability

Hydrodynamic limits for a two-species reaction-diffusion process

Anne Perrut

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Abstract

We consider a reaction-diffusion process with two components, on the grid $\mathbb{Z}$. This process had been introduced by Durrett and Levin to describe a two-species interaction. We prove the process admits hydrodynamic limits, first with a technique based on correlation functions, then with the method of relative entropy plus coupling.

Article information

Source
Ann. Appl. Probab., Volume 10, Number 1 (2000), 163-191.

Dates
First available in Project Euclid: 25 April 2002

Permanent link to this document
https://projecteuclid.org/euclid.aoap/1019737668

Digital Object Identifier
doi:10.1214/aoap/1019737668

Mathematical Reviews number (MathSciNet)
MR1765207

Zentralblatt MATH identifier
1171.60394

Subjects
Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]
Secondary: 82C22: Interacting particle systems [See also 60K35]

Keywords
Reaction-diffusion hydrodynamic limits particle systems

Citation

Perrut, Anne. Hydrodynamic limits for a two-species reaction-diffusion process. Ann. Appl. Probab. 10 (2000), no. 1, 163--191. doi:10.1214/aoap/1019737668. https://projecteuclid.org/euclid.aoap/1019737668


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