Properties of stationary nonequilibrium states in the thermostatted periodic Lorentz gas III: The many colliding particles system, in preparation
| Citations: | 5 - 0 self |
BibTeX
@MISC{Bonetto_propertiesof,
author = {F. Bonetto and D. Daems and J. L. Lebowitz},
title = {Properties of stationary nonequilibrium states in the thermostatted periodic Lorentz gas III: The many colliding particles system, in preparation},
year = {}
}
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
Abstract
We study numerically and analytically the properties of the stationary state of a particle moving under the influence of an electric field E in a two dimensional periodic Lorentz gas with the energy kept constant by a Gaussian thermostat. Numerically the current appears to be a continuous function of E whose derivative varies very irregularly, possibly in a discontinuous manner. We argue for the non differentiability of the current as a function of E utilizing a symbolic description of the dynamics based on the discontinuities of the collision map. The decay of correlations and the behavior of the diffusion constant are also investigated. KEY WORDS: Thermostatted Lorentz gas; steady state current; smoothness; regularity; symbolic dynamics.
