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

@article{Komorowski2018HighFL,
title={High Frequency Limit for a Chain of Harmonic Oscillators with a Point Langevin Thermostat},
author={Tomasz Komorowski and Stefano Olla and Lenya Ryzhik and Herbert Spohn},
journal={Archive for Rational Mechanics and Analysis},
year={2018},
volume={237},
pages={497-543}
}
• T. Komorowski, +1 author H. Spohn
• Published 2018
• Physics, Mathematics
• Archive for Rational Mechanics and Analysis
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.
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