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Article Dans Une Revue Ensaios Matemáticos Année : 2023

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

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

Citer

Tomasz Komorowski, Joel L. Lebowitz, Stefano Olla, Marielle Simon. On the Conversion of Work into Heat: Microscopic Models and Macroscopic Equations. Ensaios Matemáticos, In press, 38 (12), pp.325-341. ⟨10.21711/217504322023/em3812⟩. ⟨hal-03880070v3⟩
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