Eigenspectrum and Localization for Diffusion with Traps
Condensed Matter
2009-10-22 v1
Abstract
We investigate the {\em survival-return} probability distribution and the eigenspectrum for the transition probability matrix, for diffusion in the presence of perfectly absorbing traps distributed with critical disorder in two and three dimensions. The density of states is found to have a Lifshitz tail in the low frequency limit, consistent with a recent investigation of the long time behavior of the {\em survival} probability. The localization properties of the eigenstates are found to be very different from diffusion with no traps.
Cite
@article{arxiv.cond-mat/9403092,
title = {Eigenspectrum and Localization for Diffusion with Traps},
author = {Achille Giacometti and Hisao Nakanishi},
journal= {arXiv preprint arXiv:cond-mat/9403092},
year = {2009}
}
Comments
16 pages, Revtex 3.0, 7 Figures available upon request by regular mail. Email:[email protected] PURD-TH-93-10