Hopping Conduction and Bacteria: Transport in Disordered Reaction-Diffusion Systems - Condensed Matter > Disordered Systems and Neural NetworksReportar como inadecuado




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Abstract: We report some basic results regarding transport in disorderedreaction-diffusion systems with birth A->2A, death A->0, and binarycompetition 2A->A processes. We consider a model in which the growth processis only allowed to take place in certain areas-oases-while the rest ofspace-the -desert-is hostile to growth. In the limit of low oasis density,transport is mediated through rare -hopping- events, necessitating theinclusion of discreteness effects in the model. By first considering transportbetween two oases, we are able to derive an approximate expression for theaverage time taken for a population to traverse a disordered medium.



Autor: Andrew R. Missel, Karin A. Dahmen

Fuente: https://arxiv.org/







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