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

作者信息

Scalas Enrico, Gorenflo Rudolf, Mainardi Francesco

机构信息

Department of Advanced Sciences and Technologies, East Piedmont University, Corso Borsalino 54, I-15100 Alessandria, Italy.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Jan;69(1 Pt 1):011107. doi: 10.1103/PhysRevE.69.011107. Epub 2004 Jan 30.

DOI:10.1103/PhysRevE.69.011107
PMID:14995604
Abstract

A detailed study is presented for a large class of uncoupled continuous-time random walks. 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.

摘要

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