Converting space into time: How to order the disordered
By: V.M. Kenkre
From: University of New Mexico, Albuquerque, USA
At: Instituto de Investigação Interdisciplinar, Anfiteatro
[2010-09-29]
Effective medium theory of transport in disordered systems, whose basis is the replacement of spatial disorder by temporal memory, is extended in several practical directions. A transformation procedure is developed to deduce, from given distribution functions characterizing the system disorder, explicit expressions for the memory functions. The extent of the agreement of effective medium theory predictions with numerically computed exact results is explored and a number of new results are discussed including emergence of a percolation threshold, of spatially long range transfer rates, size effects, and pausing time distributions in continuous time random walks, corresponding to the effective medium memories.