Non-equilibrium Lorentz gas on a curved space
Chaotic Dynamics
2009-08-29 v1
Abstract
The periodic Lorentz gas with external field and iso-kinetic thermostat is equivalent, by conformal transformation, to a billiard with expanding phase-space and slightly distorted scatterers, for which the trajectories are straight lines. A further time rescaling allows to keep the speed constant in that new geometry. In the hyperbolic regime, the stationary state of this billiard is characterized by a phase-space contraction rate, equal to that of the iso-kinetic Lorentz gas. In contrast to the iso-kinetic Lorentz gas where phase-space contraction occurs in the bulk, the phase-space contraction rate here takes place at the periodic boundaries.
Cite
@article{arxiv.nlin/0701024,
title = {Non-equilibrium Lorentz gas on a curved space},
author = {Felipe Barra and Thomas Gilbert},
journal= {arXiv preprint arXiv:nlin/0701024},
year = {2009}
}