{ "id": "1507.08302", "version": "v1", "published": "2015-07-29T20:26:14.000Z", "updated": "2015-07-29T20:26:14.000Z", "title": "Nonequilibrium Systems : Hard Disks and Harmonic Oscillators Near and Far From Equilibrium", "authors": [ "William Graham Hoover", "Carol Griswold Hoover", "Julien Clinton Sprott" ], "comment": "Thirteen Figures and Thirty Nine Pages, Invited article for Molecular Simulation issue on Nonequilibrium Systems", "categories": [ "cond-mat.stat-mech" ], "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", "revisions": [ { "version": "v1", "updated": "2015-07-29T20:26:14.000Z" } ], "analyses": { "keywords": [ "harmonic oscillators", "nonequilibrium systems", "hard disks", "four-dimensional phase spaces", "relate progress" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150708302H" } } }