Department of Applied Mathematics, University of New South Wales, Sydney NSW, Australia.
Phys Rev Lett. 2010 Oct 22;105(17):170602. doi: 10.1103/PhysRevLett.105.170602. Epub 2010 Oct 21.
We derive a fractional Fokker-Planck equation for subdiffusion in a general space- and time-dependent force field from power law waiting time continuous time random walks biased by Boltzmann weights. The governing equation is derived from a generalized master equation and is shown to be equivalent to a subordinated stochastic Langevin equation.
我们从受 Boltzmann 权重影响的幂律等待时间连续时间随机行走中推导出了一般空间和时间相关力场中的亚扩散分数福克-普朗克方程。控制方程是从广义主方程中推导出的,并且被证明与一个从属随机朗之万方程等效。