Reaction diffusion equation with non-local term arises as a mean field limit of the master equation
Kazuhisa Ichikawa Mahemauti Rouzimaimaiti Takashi Suzuki
Discrete & Continuous Dynamical Systems - S 2012, 5(1): 115-126 doi: 10.3934/dcdss.2012.5.115
We formulate a reaction diffusion equation with non-local term as a mean field equation of the master equation where the particle density is defined continuously in space and time. In the case of the constant mean waiting time, this limit equation is associated with the diffusion coefficient of A. Einstein, the reaction rate in phenomenology, and the Debye term under the presence of potential.
keywords: Reaction probability. Stochastic reaction Reaction radius

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