Diffusion and Trapping on a one-dimensional lattice
Abstract
The properties of a particle diffusing on a one-dimensional lattice where at each site a random barrier and a random trap act simultaneously on the particle are investigated by numerical and analytical techniques. The combined effect of disorder and traps yields a decreasing survival probability with broad distribution (log-normal). Exact enumerations, effective-medium approximation and spectral analysis are employed. This one-dimensional model shows rather rich behaviours which were previously believed to exist only in higher dimensionality. The possibility of a trapping-dominated super universal class is suggested.
Cite
@article{arxiv.cond-mat/9603095,
title = {Diffusion and Trapping on a one-dimensional lattice},
author = {Achille Giacometti and K. P. N. Murthy},
journal= {arXiv preprint arXiv:cond-mat/9603095},
year = {2009}
}
Comments
20 pages, Revtex 3.0, 13 figures in compressed format using uufiles command, to appear in Phys. Rev. E, for an hard copy or problems e-mail to: [email protected]