%0 Journal Article
%T Maximum Path Information and Fokker--Planck Equation
%A LI Wei
%A Q A Wang
%A A Le Mehaute
%A
%J 中国物理快报
%D 2008
%I
%X We present 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 Chaos, Solitons & Fractals 23(2005)1253] 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 J. Stat. Phys. 52(1988)479] and the time t.
%K 02
%K 50
%K -r
%K 05
%K 20
%K -y
%K 05
%K 70
%K -a
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=E27DA92E19FE279A273627875A70D74D&aid=8D1188592E26286A208398B09F5316A6&yid=67289AFF6305E306&vid=C5154311167311FE&iid=E158A972A605785F&sid=73810A8E3A4195A6&eid=9905045FEE51B18F&journal_id=0256-307X&journal_name=中国物理快报&referenced_num=0&reference_num=0