The same Nosé-Hoover thermostated oscillator can appear to have expanding, incompressible, or contracting phase-space flow, depending on the coordinate system chosen.
Nonequilibrium Systems : Hard Disks and Harmonic Oscillators Near and Far From Equilibrium
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abstract
We relate progress in statistical mechanics, both at and far from equilibrium, to advances in the theory of dynamical systems. We consider computer simulations of time-reversible deterministic chaos in small systems with three- and four-dimensional phase spaces. These models provide us with a basis for understanding equilibration and thermodynamic irreversibility in terms of Lyapunov instability, fractal distributions, and thermal constraints
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2019 1verdicts
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Aspects of Dynamical Simulations, Emphasizing Nos\'e and Nos\'e-Hoover Dynamics and the Compressible Baker Map
The same Nosé-Hoover thermostated oscillator can appear to have expanding, incompressible, or contracting phase-space flow, depending on the coordinate system chosen.