activity
20002026
most citedRandom billiards with wall temperature and associated Markov chains

26 citations · 72 across the 20 of their papers we have counts for

collaborators

21 papers

math-ph2026

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…

math.AP2026

Pulse-response analysis of a simple reaction-advection-diffusion equation

Jiasong Zhu, Renato Feres, Donsub Rim +1

We analyze a reaction-advection-diffusion (RAD) equation arising in pulse-response studies of transport and reaction in a narrow reactor tube. A short pulse of gas is injected near…

math.DS2026

Nonholonomic billiards and bounded motion in cylinders

Christopher Cox, Renato Feres, Zijie Hu

A widely used mathematical model for the bouncing motion of an ideally elastic ball -- referred to in previous work by the first two authors and collaborators as a {\em no-slip bil…

physics.chem-ph2024

Determination of output composition in reaction-advection-diffusion systems on network reactors

Renato Feres, Eric Pasewark, Gregory Yablonsky

We consider reaction-transport processes in open reactors in which systems of first order reactions involving a number of gas species and solid catalysts can occur at localized act…

math.DS2023★ 1 cited

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…

nlin.CD2022

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…