# 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} }

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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