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The Nosé–Hoover Thermostated Lorentz Gas

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Abstract

We apply the Nosé–Hoover thermostat and three variations of it, which control different combinations of velocity moments, to the periodic Lorentz gas. Switching on an external electric field leads to nonequilibrium steady states for the four models. By performing computer simulations we study the probability density, the conductivity and the attractor in nonequilibrium. The results are compared to the Gaussian thermostated Lorentz gas and to the Lorentz gas as thermostated by deterministic scattering. We find that slight modifications of the Nosé–Hoover thermostat lead to different dynamical properties of our models. However, in all cases the attractor appears to be multifractal.

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Authors and Affiliations

  1. Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Campus Plaine CP 231, Blvd du Triomphe, B-1050, Brussels, Belgium

    K. Rateitschak & R. Klages

  2. Department of Applied Science, University of California at Davis, Livermore

    Wm. G. Hoover

  3. Methods Development Group, Lawrence Livermore National Laboratory, Livermore, California, 94551-7808

    Wm. G. Hoover

Authors
  1. K. Rateitschak
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  2. R. Klages
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  3. Wm. G. Hoover
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Rateitschak, K., Klages, R. & Hoover, W.G. The Nosé–Hoover Thermostated Lorentz Gas. Journal of Statistical Physics 101, 61–77 (2000). https://doi.org/10.1023/A:1026447620778

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