32 citations · 246 across the 30 of their papers we have counts for
31 papers
Aspects of Nosé and Nosé-Hoover Dynamics Elucidated
W. G. Hoover, C. G. Hoover
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 d…
The 2017 SNOOK PRIZES in Computational Statistical Mechanics
Wm. G. Hoover, Carol G. Hoover
The 2017 Snook Prize has been awarded to Kenichiro Aoki for his exploration of chaos in Hamiltonian models. His work addresses symmetries, thermalization, and Lyapunov instab…
Ergodicity of a Time-Reversibly Thermostated Harmonic Oscillator and the 2014 Ian Snook Prize
William Graham Hoover, Carol Griswold Hoover
Shuichi Nosé opened up a new world of atomistic simulation in 1984. He formulated a Hamiltonian tailored to generate Gibbs' canonical distribution dynamically. This clever idea bri…
What is liquid? Lyapunov instability reveals symmetry-breaking irreversibilities hidden within Hamilton's many-body equations of motion
Wm. G. Hoover, C. G. Hoover
Typical Hamiltonian liquids display exponential "Lyapunov instability", also called "sensitive dependence on initial conditions". Although Hamilton's equations are thoroughly time-…
Shockwave Compression and Joule-Thomson Expansion
Wm. G. Hoover, Carol G. Hoover, Karl P. Travis
Structurally-stable atomistic one-dimensional shockwaves have long been simulated by injecting fresh cool particles and extracting old hot particles at opposite ends of a simulatio…
Why Instantaneous Values of the "Covariant" Lyapunov Exponents Depend upon the Chosen State-Space Scale
Wm. G. Hoover, Carol G. Hoover
We explore a simple example of a chaotic thermostated harmonic-oscillator system which exhibits qualitatively different local Lyapunov exponents for simple scale-model constant-vol…