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2006

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/18909

Reaction-subdiffusion equations

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http://dx.doi.org/10.1103/PhysRevE.73.031102

Abstract

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.

Subject

Física estadística, Termodinàmica, Sistemes no lineals, Sistemes dinàmics, Química física

Subject (English)

Statistical physics, Physical chemistry, Thermodynamics, Nonlinear systems, Dynamical systems

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Articles publicats en revistes (Ciència dels Materials i Química Física)

Citation

SOKOLOV, Igor M., SCHMIDT, M. G. W. and SAGUÉS I MESTRE, Francesc. Reaction-subdiffusion equations. Physical Review E. 2006. Vol. 73, num. 3, pags. 031102-1-031102-4. ISSN 1063-651X. [consulted: 16 of June of 2026]. Available at: https://hdl.handle.net/2445/18909

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