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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| Published in: | Condensed Matter Physics |
|---|---|
| Date: | 2010 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут фізики конденсованих систем НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.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. |