arXiv subjects

W. G. Hoover

Publications and source records attributed to W. G. Hoover.

2 recordsLinked to original sources

arXiv2019

Aspects of Nosé and Nosé-Hoover Dynamics Elucidated

Some paradoxical aspects of the Nosé and Nosé-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.

cond-mat.stat-mech↗

arXiv1999

The Nose-hoover thermostated Lorentz gas

We apply the Nose-Hoover thermostat and three variations of it, which control different combinations of velocity moments, to the periodic Lorentz gas. Switching on an external electric field leads to nonequilibrium steady states for the four models with a constant average kinetic energy of the moving particle. We study the probability density, the conductivity and the attractor in nonequilibrium and compare the results to the Gaussian thermostated Lorentz gas and to the Lorentz gas as thermostated by deterministic scattering.

chao-dyn↗