title: Continuous-time random walks with internal dynamics and subdiffusive reaction-diffusion equations.
abstract: We formulate the generalized master equation for a class of continuous-time random walks in the presence of a prescribed deterministic evolution between successive transitions. This formulation is exemplified by means of an advection-diffusion and a jump-diffusion scheme. Based on this master equation, we also derive reaction-diffusion equations for subdiffusive chemical species, using a mean-field approximation.
authors.affiliation: Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Strasse 9, D-48149 Münster, Germany.
authors.forename: S
authors.initials: S
authors.lastname: Eule
authors.forename: R
authors.initials: R
authors.lastname: Friedrich
authors.forename: F
authors.initials: F
authors.lastname: Jenko
authors.forename: I M
authors.initials: IM
authors.lastname: Sokolov