Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 101, Issue 1-2, Pages 35-60Publisher
KLUWER ACADEMIC/PLENUM PUBL
DOI: 10.1023/A:1026414222092
Keywords
thermostatted; Lorentz gas; steady state current; smoothness; regularity; symbolic dynamics
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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.
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