The Nose-hoover thermostated Lorentz gas

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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7 pages (revtex) with 10 figures (postscript), most of the figures are bitmapped with low-resolution. The originals are many M

Scientific paper

We apply the Nose-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 with a constant average kinetic energy of the moving particle. We study the probability density, the conductivity and the attractor in nonequilibrium and compare the results to the Gaussian thermostated Lorentz gas and to the Lorentz gas as thermostated by deterministic scattering.

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