Aspects of Nos\'e and Nos\'e-Hoover Dynamics Elucidated
Statistical Mechanics
2019-06-26 v1 Chaotic Dynamics
Abstract
Some paradoxical aspects of the Nos\'e and Nos\'e-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.
Cite
@article{arxiv.1906.10318,
title = {Aspects of Nos\'e and Nos\'e-Hoover Dynamics Elucidated},
author = {W. G. Hoover and C. G. Hoover},
journal= {arXiv preprint arXiv:1906.10318},
year = {2019}
}
Comments
Eight pages with three figures