Reaction-subdiffusion on moving fluids
Hong Zhang, Guohua Li
TL;DR
This paper develops a mathematical framework for reaction-subdiffusion processes in moving fluids, deriving generalized equations that incorporate subdiffusive behavior and flow effects, with potential applications in complex fluid systems.
Contribution
It introduces a novel set of master equations for reaction-subdiffusion in flow fields, generalizing advection-diffusion-reaction equations to include subdiffusive dynamics.
Findings
Derived master equations for particle distributions in reaction-subdiffusion
Generalized advection-diffusion-reaction equations with reaction-dependent operators
Provided analytical tools for modeling reaction-subdiffusion in moving fluids
Abstract
To capture the dynamic behaviors of reaction-subdiffusion in flow fields, in the present paper we analyze a simple monomolecular conversion A 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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