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.
Citation
Anne Perrut. "Hydrodynamic limits for a two-species reaction-diffusion process." Ann. Appl. Probab. 10 (1) 163 - 191, February 2000. https://doi.org/10.1214/aoap/1019737668
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