Stochastic processes crossing from ballistic to fractional diffusion with memory: exact results

Stochastic processes crossing from ballistic to fractional diffusion with memory: exact results

We address the now classical problem of a diffusion process that crosses over from a ballistic behavior at short times to a fractional diffusion (sub- or super-diffusion) at longer times. Using the standard non-Markovian diffusion equation we demonstrate how to choose the memory kernel to exactly re...

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Bibliographic Details
Main Authors: V. Ilyin, I. Procaccia, A. Zagorodny
Format: Article
Language:English
Published: Institute for Condensed Matter Physics 2010-01-01
Series:Condensed Matter Physics
Subjects:
fractional diffusion
memory effects
ballistic processes
Online Access:http://dx.doi.org/10.5488/CMP.13.23001

Internet

http://dx.doi.org/10.5488/CMP.13.23001

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