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Title: Reaction-subdiffusion equations
Author: Sokolov, Igor M., 1958-
Schmidt, M. G. W.
Sagués i Mestre, Francesc
Keywords: Física estadística
Sistemes no lineals
Sistemes dinàmics
Química física
Statistical physics
Physical chemistry
Nonlinear systems
Dynamical systems
Issue Date: 2006
Publisher: The American Physical Society
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.
Note: Reproducció del document publicat a:
It is part of: Physical Review E, 2006, vol. 73, núm. 3, p. 031102-1-031102-4
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ISSN: 1063-651X
Appears in Collections:Articles publicats en revistes (Ciència dels Materials i Química Física)

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