Fokker-Planck equation with memory: the cross over from ballistic to diffusive processes in many particle systems and incompressible media

• Published in: Condensed Matter Physics
• Date: 2013
• Main Authors: Ilyin, V., Procaccia, I., Zagorodny, A.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/121086
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Fokker-Planck equation with memory: the cross over from ballistic to diffusive processes in many particle systems and incompressible media / V. Ilyin, I. Procaccia, A. Zagorodny // Condensed Matter Physics. — 2013. — Т. 16, № 1. — С. 13004:1–18. — Бібліогр.: 36 назв. — англ.

The unified description of diffusion processes that cross over from a ballistic behavior at short times to normal or anomalous diffusion (sub- or superdiffusion) at longer times is constructed on the basis of a non-Markovian generalization of the Fokker-Planck equation. The necessary non- Markovian...