The escape probability ξx from a site x of a one-dimensional disordered lattice with trapping is treated as a discrete dynamical evolution by random iterations over nonlinear maps parametrized by the right and left jump probabilities. The invariant measure of the dynamics is found to be a multifractal. However the measure becomes uniform over the support when the disorder becomes weak for any nonzero trapping probability. Possible implications of our findings to diffusion processes are brought out briefly.

Iterated Function System and diffusion in the presence of traps

GIACOMETTI, Achille;
1995-01-01

Abstract

The escape probability ξx from a site x of a one-dimensional disordered lattice with trapping is treated as a discrete dynamical evolution by random iterations over nonlinear maps parametrized by the right and left jump probabilities. The invariant measure of the dynamics is found to be a multifractal. However the measure becomes uniform over the support when the disorder becomes weak for any nonzero trapping probability. Possible implications of our findings to diffusion processes are brought out briefly.
1995
52
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10278/30740
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