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Reaction-subdiffusion equations Sokolov, Igor M., 1958- Schmidt, M. G. W. Sagués i Mestre, Francesc Física estadística Termodinàmica Sistemes no lineals Sistemes dinàmics Química física Statistical physics Physical chemistry Thermodynamics Nonlinear systems Dynamical systems 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. 2011-07-07T12:55:10Z 2011-07-07T12:55:10Z 2006 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 1063-651X https://hdl.handle.net/2445/18909 548447 eng Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.73.031102 Physical Review E, 2006, vol. 73, núm. 3, p. 031102-1-031102-4 http://dx.doi.org/10.1103/PhysRevE.73.031102 (c) American Physical Society, 2006 info:eu-repo/semantics/openAccess 4 p. application/pdf application/pdf The American Physical Society Articles publicats en revistes (Ciència dels Materials i Química Física)