Persistent random walk on a site-disordered one-dimensional lattice: Photon subdiffusion

Details Persistent random walk on a site-disordered one-dimensional lattice: Photon subdiffusion Persistent random walk on a site-disordered one-dimensional lattice: Photon subdiffusion

2006-05-13

arxiv.org/abs/cond-mat/0605353v1

Phys. Rev. E 73, 031115 (2006)

Physics

Condensed Matter

Statistical Mechanics

Revtex, 3 eps figures

Scientific paper

10.1103/PhysRevE.73.031115

We study the persistent random walk of photons on a one-dimensional lattice of random transmittances. Transmittances at different sites are assumed independent, distributed according to a given probability density $f(t)$. Depending on the behavior of $f(t)$ near $t=0$, diffusive and subdiffusive transports are predicted by the disorder expansion of the mean square-displacement and the effective medium approximation. Monte Carlo simulations confirm the anomalous diffusion of photons. To observe photon subdiffusion experimentally, we suggest a dielectric film stack for realization of a distribution $f(t)$.

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