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High frequency limit for a chain of harmonic oscillators with a point Langevin thermostat

Komorowski, Tomasz; Olla, Stefano; Ryzhik, Lenya; Spohn, Herbert (2020), High frequency limit for a chain of harmonic oscillators with a point Langevin thermostat, Archive for Rational Mechanics and Analysis, 237, p. 497–543. 10.1007/s00205-020-01513-7

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Type
Article accepté pour publication ou publié
Date
2020
Journal name
Archive for Rational Mechanics and Analysis
Volume
237
Publisher
Springer
Pages
497–543
Publication identifier
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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]
Ryzhik, Lenya

Spohn, Herbert
Centre fo Mathematical Sciences [D-MUTU-ZM]
Abstract (EN)
We consider an infinite chain of coupled harmonic oscillators with a Langevin thermostat at the origin. In the high frequency limit, we establish the reflection-transmission coefficients for the wave energy for the scattering of the thermostat. To our surprise, even though the thermostat fluctuations are time-dependent, the scattering does not couple wave energy at various frequencies.
Subjects / Keywords
High frequency limit; energy transport; Wigner distribution; Langevin thermostats