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

Abstract

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.

Fifteen pages and six figures, incorporating two rounds of referees' suggestions for Physical Review E

References in corpus (1)

• Hamiltonian Dynamics of Thermostated Systems: Two-Temperature Heat-Conducting phi-4 Chains

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• General formalism for singly-thermostated Hamiltonian dynamics
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• Approximating the entire spectrum of nonequilibrium steady state distributions using relative entropy: An application to thermal conduction
• Invariant tori for multi-dimensional integrable hamiltonians coupled to a single thermostat
• Nonequilibrium Molecular Dynamics, Fractal Phase-Space Distributions, the Cantor Set, and Puzzles Involving Information Dimensions for Two Compressible Baker Maps
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