62 citations · 331 across the 60 of their papers we have counts for
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The Equivalence of Dissipation from Gibbs' Entropy Production with Phase-Volume Loss in Ergodic Heat-Conducting Oscillators
Puneet Kumar Patra, William Graham Hoover, Carol Griswold Hoover +1
Gibbs' thermodynamic entropy is given by the logarithm of the phase volume, which itself responds to heat transfer to and from thermal reservoirs. We compare the thermodynamic diss…
Time-Reversible Ergodic Maps and the 2015 Ian Snook Prize
William Graham Hoover, Carol Griswold Hoover
The time reversibility characteristic of Hamiltonian mechanics has long been extended to nonHamiltonian dynamical systems modeling nonequilibrium steady states with feedback-based…
Nonequilibrium Systems : Hard Disks and Harmonic Oscillators Near and Far From Equilibrium
William Graham Hoover, Carol Griswold Hoover, Julien Clinton Sprott
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 d…
Comparison of Very Smooth Cell-Model Trajectories Using Five Symplectic and Two Runge-Kutta Integrators
William Graham Hoover, Carol Griswold Hoover
Time-reversible symplectic methods, which are precisely compatible with Liouville's phase-volume-conservation theorem, are often recommended for computational simulations of Hamilt…
Ergodicity of a Singly-Thermostated Harmonic Oscillator
William Graham Hoover, Julien Clinton Sprott, Carol Griswold Hoover
Although Nose's thermostated mechanics is formally consistent with Gibbs' canonical ensemble, the thermostated Nose-Hoover ( harmonic ) oscillator, with its mean kinetic temperatur…
Ergodicity of the Martyna-Klein-Tuckerman Thermostat and the 2014 Snook Prize
William Graham Hoover, Carol Griswold Hoover
Nosé and Hoover's 1984 work showed that although Nosé and Nosé-Hoover dynamics were both consistent with Gibbs' canonical distribution neither dynamics, when applied to the harmoni…