On reaction-subdiffusion equations

Details On reaction-subdiffusion equations On reaction-subdiffusion equations

2005-10-13

arxiv.org/abs/cond-mat/0510354v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.73.031102

To analyze possible generalizations of reaction-diffusion schemes for the case of subdiffusion we discuss a simple monomolecular conversion A --> B. We derive the corresponding kinetic equations for local A and B concentrations. Their form is rather unusual: The parameters of reaction influence the diffusion term in the equation for a component A, a consequence of the nonmarkovian nature of subdiffusion. The equation for a product contains a term which depends on the concentration of A at all previous times. Our discussion shows that reaction-subdiffusion equations may not resemble the corresponding reaction-diffusion ones and are not obtained by a trivial change of the diffusion operator for a subdiffusion one.

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