Diffusion at constant speed in a model phase space
Disordered Systems and Neural Networks
2009-10-31 v2
Abstract
We reconsider the problem of diffusion of particles at constant speed and present a generalization of the Telegrapher process to higher dimensional stochastic media (), where the particle can move along directions. We derive the equations for the probability density function using the ``formulae of differentiation'' of Shapiro and Loginov. The model is an advancement over similiar models of photon migration in multiply scattering media in that it results in a true diffusion at constant speed in the limit of large dimensions.
Cite
@article{arxiv.cond-mat/0006483,
title = {Diffusion at constant speed in a model phase space},
author = {S. Anantha Ramakrishna and N. Kumar},
journal= {arXiv preprint arXiv:cond-mat/0006483},
year = {2009}
}
Comments
Final corrected version RevTeX, 6 pages, 1 figure