8 citations · 26 across the 10 of their papers we have counts for
11 papers
Entropy production in Knudsen thermodynamics of compartmented systems
Timothy Chumley, Renato Feres, Zhenyi Zhang
We investigate entropy production and nonequilibrium transport in a class of random dynamical systems modeling a Knudsen gas confined to a compartmented container. The system consi…
Revisiting Maxwell-Smoluchowski theory: low surface roughness in straight channels
Timothy Chumley, Renato Feres, Luis Alberto Garcia German +1
The Maxwell-Smoluchowski (MS) theory of gas diffusion is revisited here in the context of gas transport in straight channels in the Knudsen regime of large mean free path. This cla…
Chaotic lensed billiards
Timothy Chumley, Maeve Covey, Christopher Cox +1
Lensed billiards are an extension of the notion of billiard dynamical systems obtained by adding a potential function of the form , where is a real valued con…
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…
Knudsen diffusivity in random billiards: spectrum, geometry, and computation
Timothy Chumley, Renato Feres, Luis Alberto Garcia German
We develop an analytical framework and numerical approach to obtain the coefficient of self-diffusivity for the transport of a rarefied gas in channels in the limit of large Knudse…
Entropy Production in Random Billiards
Timothy Chumley, Renato Feres
We introduce a class of random mechanical systems called random billiards to study the problem of quantifying the irreversibility of nonequilibrium macroscopic systems. In a random…
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…
Moran-type bounds for the fixation probability in a frequency-dependent Wright-Fisher model
Timothy Chumley, Ozgur Aydogmus, Anastasios Matzavinos +1
We study stochastic evolutionary game dynamics in a population of finite size. Individuals in the population are divided into two dynamically evolving groups. The structure of the…
Exact discretization of harmonic tensors
Timothy Chumley, Renato Feres, Matthew Wallace
Lyons and Sullivan have shown how to discretize harmonic functions on a Riemannian manifold whose Brownian motion satisfies a certain recurrence property called -recurren…
Diffusivity in multiple scattering systems
Timothy Chumley, Renato Feres, Hong-Kun Zhang
We consider random flights of point particles inside -dimensional channels of the form , where is a ball of radius …
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…