Heat Conduction, and the Lack Thereof, in Time-reversible Dynamical Systems: Generalized Nosť-Hoover Oscillators with a Temperature Gradient

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 2014)

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, 042914-1--6 (2014)

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