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
Date:2010
Main Authors: Ilyin, V., Procaccia, I., Zagorodny, A.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2010
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/32087
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Stochastic processes crossing from ballistic to fractional diffusion with memory: exact results / V. Ilyin, I. Procaccia, A. Zagorodny // Condensed Matter Physics. — 2010. — Т. 13, № 2. — С. 23001: 1-8. — Бібліогр.: 19 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine