A fractional Fokker-Planck model for anomalous diffusion
Journal article, 2014

In this paper, we present a study of anomalous diffusion using a Fokker-Planck description with fractional velocity derivatives. The distribution functions are found using numerical means for varying degree of fractionality of the stable Lévy distribution. The statistical properties of the distribution functions are assessed by a generalized normalized expectation measure and entropy in terms of Tsallis statistical mechanics. We find that the ratio of the generalized entropy and expectation is increasing with decreasing fractionality towards the well known so-called sub-diffusive domain, indicating a self-organising behavior.


Tsallis Entropy

Statistical Mechanics


Johan Anderson

Chalmers, Earth and Space Sciences, Plasma Physics and Fusion Energy

Eun-jin Kim

University of Sheffield

Sara Moradi

Laboratoire de physique des plasmas

Physics of Plasmas

1070-664X (ISSN) 1089-7674 (eISSN)

Vol. 21 12 aricle no: 122109- 122109

Areas of Advance



Basic sciences

Subject Categories

Fusion, Plasma and Space Physics



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