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Nonequilibrium Systems : Hard Disks and Harmonic Oscillators Near and Far From Equilibrium

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arxiv 1507.08302 v4 pith:HLQNPOUV submitted 2015-07-29 cond-mat.stat-mech

classification cond-mat.stat-mech
keywords systemsequilibriumadvancesbasischaoscomputerconsiderconstraints
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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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Cited by 1 Pith paper

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  1. Aspects of Dynamical Simulations, Emphasizing Nos\'e and Nos\'e-Hoover Dynamics and the Compressible Baker Map

    nlin.CD 2019-08 conditional novelty 3.0 of 10

    The same Nosé-Hoover thermostated oscillator can appear to have expanding, incompressible, or contracting phase-space flow, depending on the coordinate system chosen.

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