title: Reaction-subdiffusion equations.
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 the local and concentrations. Their form is rather unusual: The parameters of the reaction influence the diffusion term in the equation for a component A, a consequence of the non-Markovian nature of subdiffusion. The equation for the 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.
authors.affiliation: Institut für Physik, Humboldt-Universität zu Berlin, Newtonstrasse 15, D-12489 Berlin, Germany.
authors.forename: I M
authors.initials: IM
authors.lastname: Sokolov
authors.forename: M G W
authors.initials: MG
authors.lastname: Schmidt
authors.forename: F
authors.initials: F
authors.lastname: Sagués