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Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2022

ON THE CONVERSION OF WORK INTO HEAT: MICROSCOPIC MODELS AND MACROSCOPIC EQUATIONS

Tomasz Komorowski
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Joel L. Lebowitz
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Marielle Simon
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Résumé

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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Dates et versions

hal-03880070 , version 1 (30-11-2022)
hal-03880070 , version 2 (23-04-2023)
hal-03880070 , version 3 (30-05-2023)

Identifiants

  • HAL Id : hal-03880070 , version 1

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Tomasz Komorowski, Joel L. Lebowitz, Stefano Olla, Marielle Simon. ON THE CONVERSION OF WORK INTO HEAT: MICROSCOPIC MODELS AND MACROSCOPIC EQUATIONS. 2022. ⟨hal-03880070v1⟩
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