%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