2007/01/12 by Felipe Barra, Thomas Gilbert
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #nlin.CD
paper · pdf · doi:10.1088/1742-5468/2007/01/l01003
published as J. Stat. Mech. 7 (2007) L01003
arxiv created 2007/01/12 · openalex publication_date 2007/01/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
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 one 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 case where phase-space contraction occurs in the bulk, the phase-space contraction rate here takes place at the periodic boundaries.