Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-11-16
Chinese Physics Letters 25 (4), 1165 (2008)
Physics
Condensed Matter
Statistical Mechanics
7 pages
Scientific paper
We present in this paper a rigorous method to derive the nonlinear Fokker-Planck (FP) equation of anomalous diffusion directly from a generalization of the principle of least action of Maupertuis proposed by Wang for smooth or quasi-smooth irregular dynamics evolving in Markovian process. The FP equation obtained may take two different but equivalent forms. It was also found that the diffusion constant may depend on both q (the index of Tsallis entropy) and the time t.
Li Wangrong
Mehaute Alain Le
Wang Alexandre
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