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arXiv · 1806.02089

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

Tomasz Komorowski·Stefano Olla·Lenya Ryzhik·Herbert Spohn
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Abstract

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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Tomasz Komorowski, Stefano Olla, Lenya Ryzhik, Herbert Spohn. 2018-06-06. High frequency limit for a chain of harmonic oscillators with a point Langevin thermostat. https://arxiv.org/abs/1806.02089

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