Long-time behaviour of classical diffusion in a disordered lattice
- 10 January 1980
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 13 (1) , L1-L4
- https://doi.org/10.1088/0022-3719/13/1/001
Abstract
The long-time behaviour of classical diffusion of a particle in a randomly interrupted medium is studied. The probability of finding a particle at position x=0 in d-dimensional space if initially it was at x=0 is shown to decay exponentially as P(t)-P(t= infinity ) approximately exp(-ctd(d+2)/) below the percolation threshold due to localisation.Keywords
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