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.
E. Scalas, R. Gorenflo, F. Mainardi (2004). Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation. PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS, 69, 011107-1-011107-8 [10.1103/PhysRevE.69.011107].
Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation
MAINARDI, FRANCESCO
2004
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
