Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation

Details Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation

2004-02-26

arxiv.org/abs/cond-mat/0402657v1

Phys. Rev. E 69, 011107 (2004)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Preprint version of an already published paper. 8 pages

Scientific paper

10.1103/PhysRevE.69.011107

A detailed study is presented for a large class of uncoupled continuous-time random walks (CTRWs). The master equation is solved for the Mittag-Leffler survival probability. The properly scaled diffusive limit of the master equation is taken and its relation with the fractional diffusion equation is discussed. Finally, some common objections found in the literature are thoroughly reviewed.

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