An analytic approximation to the Diffusion Coefficient for the periodic Lorentz Gas
Chaotic Dynamics
2015-06-04 v1
Abstract
An approximate stochastic model for the topological dynamics of the periodic triangular Lorentz gas is constructed. The model, together with an extremum principle, is used to find a closed form approximation to the diffusion coefficient as a function of the lattice spacing. This approximation is superior to the popular Machta and Zwanzig result and agrees well with a range of numerical estimates.
Cite
@article{arxiv.1202.2904,
title = {An analytic approximation to the Diffusion Coefficient for the periodic Lorentz Gas},
author = {C. Angstmann and G. P. Morriss},
journal= {arXiv preprint arXiv:1202.2904},
year = {2015}
}
Comments
13 pages, 4 figures