Iterated Function System and Diffusion in the Presence of Disorder and Traps

Details Iterated Function System and Diffusion in the Presence of Disorder and Traps Iterated Function System and Diffusion in the Presence of Disorder and Traps

1995-03-15

arxiv.org/abs/cond-mat/9503083v1

Physics

Condensed Matter

10 pages in Revtex (version 3.0) + 7 postscript figures available by email on request from t.wichmann@kfa-juelich.de, submitte

Scientific paper

10.1103/PhysRevE.52.481

The escape probability $\xi_{x}$ 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 non-zero trapping probability. Implications of our findings in terms of diffusion are discussed.

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