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

Autor:	Komorowski, Tomasz, Lebowitz, Joel, Olla, Stefano, Simon, Marielle
Rok vydání:	2022
Předmět:	Condensed Matter - Statistical Mechanics Mathematical Physics Mathematics - Probability 80A19 82C22 82C70 60K35
Druh dokumentu:	Working Paper
Popis:	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. Comment: Submitted for the publication in Ensaios Matem\'aticos for the volume dedicated to Errico Presutti 80th birthday
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.00093 Zobrazit plný text záznamu View this record from Arxiv