Continuous Time Random Walks with Internal Dynamics

ORAL

Abstract

We formulate a generalized master equation for a class of Continuous Time Random Walks (CTRWs) in the presence of a presribed deterministic evolution between the successive transitions. This formulation is exemplified by means of a generalized advection-diffusion and a jump-diffusion scheme. Based on the generalized master equation the corresponding fractional evolution equations are presented.

–

Authors

  • Stephan Eule

    Max-Planck-Institute for Dynamics and Self-Organization, Goettingen, Germany

  • Rudolf Friedrich

    Institute of Theoretical Physics, Muenster, Germany

  • Frank Jenko

    Max-Planck-Institute for Plasmaphysics, Garching, Germany