Title:
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Reaction-subdiffusion equations
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Author:
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Sokolov, Igor M., 1958-; Schmidt, M. G. W.; Sagués i Mestre, Francesc
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Other authors:
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Universitat de Barcelona |
Abstract:
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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(s):
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-Física estadística -Termodinàmica -Sistemes no lineals -Sistemes dinàmics -Química física -Statistical physics -Physical chemistry -Thermodynamics -Nonlinear systems -Dynamical systems |
Rights:
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(c) American Physical Society, 2006
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Document type:
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Article Article - Published version |
Published by:
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The American Physical Society
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