Supported by the National Natural Science Foundation of China under Grant Nos 70401020, 70571027, 10647125, and 10635020, and the Ministry of Education of China under Grant No 306022.
机构署名：
本校为第一且通讯机构
院系归属：
物理科学与技术学院
摘要：
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...
