• Corpus ID: 195584287

Aspects of Nos\'e and Nos\'e-Hoover Dynamics Elucidated

  title={Aspects of Nos\'e and Nos\'e-Hoover Dynamics Elucidated},
  author={Wm. G. Hoover and Carol Griswold Hoover},
  journal={arXiv: Statistical Mechanics},
Some paradoxical aspects of the Nose and Nose-Hoover dynamics of 1984 and Dettmann's dynamics of 1996 are elucidated. Phase-space descriptions of thermostated harmonic oscillator dynamics can be simultaneously expanding, incompressible, or contracting, as is described here by a variety of three- and four-dimensional phase-space models. These findings illustrate some surprising consequences when Liouville's continuity equation is applied to Hamiltonian flows. 

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