62 citations · 331 across the 60 of their papers we have counts for
15 papers · 1 filter
The Simplest Viscous Flow
William Graham Hoover, Carol Griswold Hoover
We illustrate an atomistic periodic two-dimensional stationary shear flow, , using the simplest possible example, the periodic shear of…
Aspects of Dynamical Simulations, Emphasizing Nosé and Nosé-Hoover Dynamics and the Compressible Baker Map
William G. Hoover, Carol G. Hoover
Aspects of the Nosé and Nosé-Hoover dynamics developed in 1983-1984 along with Dettmann's closely related dynamics of 1996, are considered. We emphasize paradoxes associated with L…
Random Walk Equivalence to the Compressible Baker Map and the Kaplan-Yorke Approximation to Its Information Dimension
William Graham Hoover, Carol Griswold Hoover
Simple time-reversible systems can generate {\it irreversible} flows satisfying the Second Law of Thermodynamics. Maps, and equivalent random walks, can also do this. We study a pa…
Bit-Reversible Version of Milne's Fourth-Order Time-Reversible Integrator for Molecular Dynamics
William Graham Hoover, Carol Griswold Hoover
We point out that two of Milne's fourth-order integrators are well-suited to bit-reversible simulations. The fourth-order method improves on the accuracy of Levesque and Verlet's a…
Singly-Thermostated Ergodicity in Gibbs' Canonical Ensemble and the 2016 Ian Snook Prize Award
William Graham Hoover, Carol Griswold Hoover
The 2016 Snook Prize has been awarded to Diego Tapias, Alessandro Bravetti, and David Sanders for their paper -- Ergodicity of One-Dimensional Systems Coupled to the Logistic Therm…
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…