Institute of Mathematics for Industry

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Macroscopic scattering by a Langevin heat bath in contact with a harmonic chain


Hold Date 2017-11-17 16:00~2017-11-17 17:30

Place Seminar Room W1-D-725, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Stefano OLLA (CEREMADE, University Paris-Dauphine)

Abstract:
We consider a chain of harmonic oscillators where one particle is in contact with a Langevin heat bath at temperature T. After a hyperbolic rescaling of space and time, the Wigner distribution of the energy converges to the solution of a transport equation for phonons with scattering, absorption and creation of phonons, in the point of contact with the thermostat. The scattering rate is a function of the incoming wave number and depends on the dispersion relation of the chain.

Joint work with T. Komorowski, L. Ryzhik, H. Spohn.