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Asymptotic Scattering by Poissonian Thermostats

Komorowski, Tomasz; Olla, Stefano (2021), Asymptotic Scattering by Poissonian Thermostats. https://basepub.dauphine.psl.eu/handle/123456789/21833

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Type
Document de travail / Working paper
External document link
https://hal.archives-ouvertes.fr/hal-03106762
Date
2021
Series title
Cahier de recherche du CEREMADE
Pages
32
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Author(s)
Komorowski, Tomasz
Institut of Mathematics - Polish Academy of Sciences [PAN]
Olla, Stefano cc
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
We consider an infinite chain of coupled harmonic oscillators with a Poisson thermostat at the origin. In the high frequency limit, we establish the reflection-transmission-scattering coefficients for the wave energy scattered off the thermostat. Unlike the case of the Langevin thermostat [5], in the macroscopic limit the Poissonian thermostat scattering generates a continuous cloud of waves of frequencies different from that of the incident wave.
Subjects / Keywords
high frequency limits; heat bath; thermal scattering