26 citations · 35 across the 4 of their papers we have counts for
4 papers
Dynamics of the no-slip Galton board
Jan Ahmed, Timothy Chumley, Scott Cook +5
The ideal Galton board and Lorentz gas billiard models have been studied numerically and analytically primarily in settings where friction and rotational velocity are neglected. We…
Rolling and no-slip bouncing in cylinders
Timothy Chumley, Scott Cook, Christopher Cox +1
The purpose of this paper is to compare a classical non-holonomic system---a sphere rolling against the inner surface of a vertical cylinder under gravity---and a class of discrete…
From billiards to thermodynamics
Timothy Chumley, Scott Cook, Renato Feres
We explore some beginning steps in stochastic thermodynamics of billiard-like mechanical systems by introducing extremely simple and explicit random mechanical processes capable of…
Random billiards with wall temperature and associated Markov chains
Scott Cook, Renato Feres
By a random billiard we mean a billiard system in which the standard specular reflection rule is replaced with a Markov transition probabilities operator P that, at each collision…