On the Conversion of Work into Heat: Microscopic Models and Macroscopic Equations
Komorowski, Tomasz; Lebowitz, Joel L.; Olla, Stefano; Simon, Marielle (2023), On the Conversion of Work into Heat: Microscopic Models and Macroscopic Equations, Ensaios Matemáticos, 38, p. 325-341. 10.21711/217504322023/em3812
TypeArticle accepté pour publication ou publié
Journal nameEnsaios Matemáticos
MetadataShow full item record
Institut of Mathematics - Polish Academy of Sciences [PAN]
Lebowitz, Joel L.
Department of Mathematics - Rutgers School of Arts and Sciences
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Institut Camille Jordan [ICJ]
Abstract (EN)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.
Subjects / KeywordsHeat transfer; Periodic Forcing; Microscopic stochastic dynamics; Hydrodynamic Limits; Harmonic chain; Heat equation for the macroscopictemperature; Dirichlet-Neumann type boundary conditions; workinto heat
Showing items related by title and author.
Macroscopic evolution of mechanical and thermal energy in a harmonic chain with random flip of velocities Olla, Stefano; Simon, Marielle; Komorowski, Tomasz (2018) Article accepté pour publication ou publié