On the Conversion of Work into Heat: Microscopic Models and Macroscopic Equations

2022/11/30 by Komorowski, Tomasz, Lebowitz, Joel, Olla, Stefano +1 · 1 citation
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paper · doi:10.48550/arxiv.2212.00093

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.

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