English

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

Statistical Mechanics 2016-08-24 v4

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

Keywords

Cite

@article{arxiv.1507.08302,
  title  = {Nonequilibrium Systems : Hard Disks and Harmonic Oscillators Near and Far From Equilibrium},
  author = {William Graham Hoover and Carol Griswold Hoover and Julien Clinton Sprott},
  journal= {arXiv preprint arXiv:1507.08302},
  year   = {2016}
}

Comments

Thirteen Figures and Forty Pages, Invited article for Molecular Simulation issue on Nonequilibrium Systems, accepted 23 August 2015. The article was published a year later, but with the editing thoroughly botched. The Figures in the Molecular Simulation version are more detailed. Unfortunately the labels and captions suffered from the journal's editing