On the conversion of work into heat: microscopic models and macroscopic equations
Tomasz Komorowski, Joel L. Lebowitz, Stefano Olla, Marielle Simon · Ensaios Matemáticos · 2023
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.