Chaos properties and localization in Lorentz lattice gases
chao-dyn
2017-09-20 v1 Chaotic Dynamics
Abstract
The thermodynamic formalism of Ruelle, Sinai, and Bowen, in which chaotic properties of dynamical systems are expressed in terms of a free energy-type function - called the topological pressure - is applied to a Lorentz Lattice Gas, as typical for diffusive systems with static disorder. In the limit of large system sizes, the mechanism and effects of localization on large clusters of scatterers in the calculation of the topological pressure are elucidated and supported by strong numerical evidence. Moreover it clarifies and illustrates a previous theoretical analysis [Appert et al. J. Stat. Phys. 87, chao-dyn/9607019] of this localization phenomenon.
Keywords
Cite
@article{arxiv.chao-dyn/9705011,
title = {Chaos properties and localization in Lorentz lattice gases},
author = {C. Appert and M. H. Ernst},
journal= {arXiv preprint arXiv:chao-dyn/9705011},
year = {2017}
}
Comments
32 pages, 19 Postscript figures, submitted to PRE