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arXiv · 1804.00380

Reaction-subdiffusion on moving fluids

Hong Zhang·Guohua Li
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Abstract

To capture the dynamic behaviors of reaction-subdiffusion in flow fields, in the present paper we analyze a simple monomolecular conversion A $\rightarrow$ B. We derive the corresponding master equations for the distribution of A and B particles in continuous time random walks scheme. The new results are then used to obtain the generalizations of advection-diffusion reaction equation, in which the diffusion and advection operators both depend on the reaction rate.

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Hong Zhang, Guohua Li. 2018-04-02. Reaction-subdiffusion on moving fluids. https://doi.org/10.1103/physreve.98.042132

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