Blog Archives

From Ann Arbor to Sheffield: Around the World in 80 Years. I.

Hoover William G.

Childhood and graduate school at Ann Arbor Michigan prepared Bill for an interesting and rewarding career in physics. Along the way came Carol and many joint discoveries with our many colleagues to whom we both owe this good life. This summary of Bill’s early work prior to their marriage and sa ...

Ergodicity of the Martyna-Klein-Tuckerman Thermostat and the 2014 Ian Snook Prize

Hoover Wm.G. , Hoover C.G.

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 harmonic oscillator, provided Gibbs’ Gaussian distribution. Further investigations indicated that two independent t ...

Why Instantaneous Values of the “Covariant” Lyapunov Exponents Depend upon the Chosen State-Space Scale

Hoover Wm.G. , Hoover C.G.

We explore a simple example of a chaotic thermostated harmonic-oscillator system which exhibits qualitatively different local Lyapunov exponents for simple scale-model constant-volume transformations of its coordinate q and momentum p: { q, p } → { (Q/s), (sP ) }. The time-dependent thermostat ...