Persistent random walk on a one-dimensional lattice with random asymmetric transmittances
Statistical Mechanics
2012-03-19 v1 Soft Condensed Matter
Abstract
We study the persistent random walk of photons on a one-dimensional lattice of random asymmetric transmittances. Each site is characterized by its intensity transmittance t (t') for photons moving to the right (left) direction. Transmittances at different sites are assumed independent, distributed according to a given probability density Distribution. We use the effective medium approximation and identify two classes of probability density distribution of transmittances which lead to the normal diffusion of photons. Monte Carlo simulations confirm our predictions.
Cite
@article{arxiv.0808.0816,
title = {Persistent random walk on a one-dimensional lattice with random asymmetric transmittances},
author = {Zeinab Sadjadi and MirFaez Miri},
journal= {arXiv preprint arXiv:0808.0816},
year = {2012}
}
Comments
7 pages, submitted to Phys. Rev. E