Heat Conduction, and the Lack Thereof, in Time-reversible
Dynamical Systems: Generalized Nosť-Hoover Oscillators with a
Julien Clinton Sprott
Department of Physics, University of Wisconsin--Madison,
Madison, Wisconsin 53706, USA
William Graham Hoover and Carol Griswold Hoover
Ruby Valley Research Institute, Contract 60, Box 601, Ruby
Valley, Nevada 89833, USA
(Received 8 January 2014; published 25 April
We use nonequilibrium molecular dynamics to
analyze and illustrate the qualitative differences between the
one-thermostat and two-thermostat versions of equilibrium and
nonequilibrium (heat-conducting) harmonic oscillators.
Conservative nonconducting regions can coexist with dissipative
heat conducting regions in phase space with exactly the same
imposed temperature field.
Ref: J. C. Sprott, W. G. Hoover, and C. G. Hoover, Phys. Rev. E 89,
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