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

Tomasz Komorowski; Joel Lebowitz; Stefano Olla; Marielle Simon

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arXiv · 2212.00093

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

Tomasz Komorowski·Joel Lebowitz·Stefano Olla·Marielle Simon

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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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Tomasz Komorowski, Joel Lebowitz, Stefano Olla, Marielle Simon. 2022-11-30. On the Conversion of Work into Heat: Microscopic Models and Macroscopic Equations. https://arxiv.org/abs/2212.00093

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