On the Conversion of Work into Heat: Microscopic Models and Macroscopic Equations
Abstract
We summarize and extend some of the results obtained recently for the microscopic and macroscopic behavior of a pinned harmonic chain, with random velocity flips at Poissonian times, acted on by a periodic force {at one end} and in contact with a heat bath at the other end. Here we consider the case where the system is in contact with two heat baths at different temperatures and a periodic force is applied at any position. This leads in the hydrodynamic limit to a heat equation for the temperature profile with a discontinuous slope at the position where the force acts. Higher dimensional systems, unpinned cases and anharmonic interactions are also considered.
Keywords
Cite
@article{arxiv.2212.00093,
title = {On the Conversion of Work into Heat: Microscopic Models and Macroscopic Equations},
author = {Tomasz Komorowski and Joel Lebowitz and Stefano Olla and Marielle Simon},
journal= {arXiv preprint arXiv:2212.00093},
year = {2023}
}
Comments
Submitted for the publication in Ensaios Matem\'aticos for the volume dedicated to Errico Presutti 80th birthday