Continuous-time random walks with internal dynamics and subdiffusive reaction-diffusion equations.
نویسندگان
چکیده
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.
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ورودعنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 78 6 Pt 1 شماره
صفحات -
تاریخ انتشار 2008