Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation
Disordered Systems and Neural Networks
2009-11-10 v1
Abstract
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.
Cite
@article{arxiv.cond-mat/0402657,
title = {Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation},
author = {Enrico Scalas and Rudolf Gorenflo and Francesco Mainardi},
journal= {arXiv preprint arXiv:cond-mat/0402657},
year = {2009}
}
Comments
Preprint version of an already published paper. 8 pages