Blog Archives

$1000 SNOOK PRIZES FOR 2021: The Information Dimensions of a Two-Dimensional Baker Map

Hoover William G., Hoover Carol G.

The fractal information dimension can be computed in three ways: (1) mapping points, (2) mapping regions (two-dimensional areas here), and (3) applying the Kaplan-Yorke conjecture. For the simplest nonequilibrium Baker N2 Map these three approaches can give different results. A pedagogical explor ...

Compressible Baker Maps and Their Inverses. A Memoir for Francis Hayin Ree [1936–2020]

Hoover William G.

This memoir is dedicated to the late Francis Hayin Ree, a formative influence shaping my work in statistical mechanics. Between 1963 and 1968 we collaborated on nine papers published in the Journal of Chemical Physics. Those dealt with the virial series, cell models, and computer simulation. All ...

Time-Reversible Ergodic Maps and the 2015 Ian Snook Prizes

Hoover Wm.G. , Hoover C.G.

The time reversibility characteristic of Hamiltonian mechanics has long been extended to nonHamiltonian
dynamical systems modeling nonequilibrium steady states with feedback-based thermostats and ergostats. Typical solutions
are multifractal attractor-repellor phase-space pairs with r ...