Blog Archives

The Simplest Viscous Flow

Hoover William G., Hoover Carol G.

We illustrate an atomistic periodic two-dimensional stationary shear flow, u_x = ( x˙ ) = E˙y, using the simplest possible example, the periodic shear of just two particles! We use a short-ranged “realistic” pair potential, ...

$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 ...

2020 Ian Snook Prize Problem: Three Routes to the Information Dimensions for One-Dimensional Stochastic Random Walks and Their Equivalent Two-Dimensional Baker Maps

Hoover William G., Hoover Carol G.

The $1000 Ian Snook Prize for 2020 will be awarded to the author(s) of the most interesting paper exploring pairs of relatively simple, but fractal, models of nonequilibrium systems, dissipative time-reversible Baker Maps and their equivalent stochastic random walks. Two-dimensional deterministic ...