Persistent random walk on a one-dimensional lattice with random asymmetric transmittances

Details Persistent random walk on a one-dimensional lattice with random asymmetric transmittances Persistent random walk on a one-dimensional lattice with random asymmetric transmittances

2008-08-06

arxiv.org/abs/0808.0816v1

Phys. Rev. E 78, 061114 (2008)

Physics

Condensed Matter

Statistical Mechanics

7 pages, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.78.061114

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.

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