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

Abstract

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.

10 pages in Revtex (version 3.0) + 7 postscript figures available by email on request from [email protected], submitted to Phys. Rev. E.

References in corpus (2)

• Weak Non Self-Averaging Behaviour for Diffusion in a Trapping Environment
• Eigenspectrum and Localization for Diffusion with Traps

Cited by in corpus (5)

• Template-directed growth of copolymers
• Analytical results for random walks in the presence of disorder and traps
• Diffusion and Trapping on a one-dimensional lattice
• Multifractal spectra of mean first-passage time distributions in disordered chains
• Diffusion with rearranging traps