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High Frequency Limit for a Chain of Harmonic Oscillators with a Point Langevin Thermostat

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ARTICLE DOWNLOAD

High Frequency Limit for a Chain of Harmonic Oscillators with a Point Langevin Thermostat

10$

Tomasz Komorowski, Stefano Olla, Lenya Ryzhik & Herbert Spohn 

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 off the thermostat. To our surprise, even though the thermostat fluctuations are time-dependent, the scattering does not couple wave energy at various frequencies.

Only units of this product remain
Year 2020
Language English
Format PDF
DOI 10.1007/s00205-020-01513-7