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Asymptotic Scattering by Poissonian Thermostats

Mathematical Physics 2022-09-28 v2 Statistical Mechanics math.MP

Abstract

We consider an infinite chain of coupled harmonic oscillators with a Poisson thermostat at the origin. In the high frequency limit, we establish the reflection-transmission-scattering coefficients for the wave energy scattered off the thermostat. Unlike the case of the Langevin thermostat [5], in the macroscopic limit the Poissonian thermostat scattering generates a continuous cloud of waves of frequencies different from that of the incident wave.

Keywords

Cite

@article{arxiv.2101.04360,
  title  = {Asymptotic Scattering by Poissonian Thermostats},
  author = {Tomasz Komorowski and Stefano Olla},
  journal= {arXiv preprint arXiv:2101.04360},
  year   = {2022}
}