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Non-equilibrium Lorentz gas on a curved space

Authors
  • Barra, Felipe
  • Gilbert, Thomas
Type
Published Article
Publication Date
Jan 12, 2007
Submission Date
Jan 12, 2007
Identifiers
DOI: 10.1088/1742-5468/2007/01/L01003
arXiv ID: nlin/0701024
Source
arXiv
License
Unknown
External links

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.

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