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Continuous Time Random Walks with Internal Dynamics and Subdiffusive Reaction-Diffusion Equations

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 نشر من قبل Stephan Eule
 تاريخ النشر 2008
  مجال البحث فيزياء
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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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