Top-level heading

Kinetic and hydrodynamic limits for chains of harmonic oscillators

Categoria: 
Seminari di Fisica Matematica
Data e ora inizio evento: 
Data e ora fine evento: 
Aula: 
Sala di Consiglio
Sede: 

Dipartimento di Matematica Guido Castelnuovo, Università Sapienza Roma

Speaker: 

Stefano Olla (Université Paris-Dauphine & CNRS, France)

Abstract: I will present two new results about macroscopic behavior of chains of harmonic oscillators.
1) The strain, momentum and energy of a chain of harmonic oscillators with random masses, even out of thermal equilibrium, converge to the solution of the Euler equation under hyperbolic space time scaling (in collaboration with Francois Huveneers and Cedric Bernardin).
2) Macroscopic scattering (in a hyperbolic scaling) caused by a Langevin thermostat in contact with a point of the harmonic chain (in collaboration with Tomasz Komorowski, Lenya Ryzhik and Herbert Spohn).