Equation of long-range particle drift and diffusion on three-dimensional physical lattice is suggested. This equation can be considered as a lattice analogof space-fractional Fokker-Planck equation for continuum. The lattice approach gives a possible microstructural basis for anomalous diffusion in media that are characterized by the non-locality of power-law type. In continuum limit the suggested three-dimensional lattice Fokker-Planck equations give fractional Fokker-Planck equations for continuous media with power-law non-locality that is described by derivatives of non-integer orders. The consistent derivation of the fractional Fokker-Planck equation is proposed as a new basis to describe space-fractional diffusion processes.
Categories: cond-mat.stat-mech
![Precision Measurements of ${\cal B}[\psi(3686) \to \pi^+\pi^- J/\psi]$ and ${\cal B}[J/\psi\to l^+l^-]$](http://n.sinaimg.cn/front/87/w1080h607/20180819/_l5U-hhxaafy5317560.jpg)
