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Article Dans Une Revue Archive for Rational Mechanics and Analysis Année : 2020

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

Résumé

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.
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Dates et versions

hal-01808994 , version 1 (06-06-2018)

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Tomasz Komorowski, Stefano Olla, Lenya Ryzhik, Herbert Spohn. High frequency limit for a chain of harmonic oscillators with a point Langevin thermostat. Archive for Rational Mechanics and Analysis, 2020, 237, pp.497-543. ⟨10.1007/s00205-020-01513-7⟩. ⟨hal-01808994⟩
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