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


開催時期 2017-11-17 16:00~2017-11-17 17:30

場所 九州大学 伊都キャンパス ウエスト1号館 中セミナー室 W1-D-725

受講対象  

講師 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.