Eule S, Friedrich R, Jenko F, Sokolov I M
Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Strasse 9, D-48149 Münster, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Dec;78(6 Pt 1):060102. doi: 10.1103/PhysRevE.78.060102. Epub 2008 Dec 5.
We formulate the generalized master equation for a class of continuous-time random walks in the presence of a prescribed deterministic evolution between successive transitions. This formulation is exemplified by means of an advection-diffusion and a jump-diffusion scheme. Based on this master equation, we also derive reaction-diffusion equations for subdiffusive chemical species, using a mean-field approximation.
我们针对一类连续时间随机游走，在相继跃迁之间存在规定确定性演化的情况下，推导出广义主方程。通过平流扩散和跳跃扩散方案对该公式进行了举例说明。基于此主方程，我们还使用平均场近似推导了亚扩散化学物种的反应扩散方程。
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