English

Thermalization in open classical systems with finite heat baths

Statistical Mechanics 2009-11-13 v1 Materials Science

Abstract

We discuss thermalization of a test particle schematized as a harmonic oscillator and coupled to a Boltzmann heat bath of finite size and with a finite bandwidth for the frequencies of its particles. We find that complete thermalization only occurs when the test particle frequency is within a certain range of the bath particle frequencies, and for a certain range of mass ratios between the test particle and the bath particles. These results have implications for the study of classical and quantum behaviour of high-frequency nanomechanical resonators.

Keywords

Cite

@article{arxiv.0810.3251,
  title  = {Thermalization in open classical systems with finite heat baths},
  author = {S. Taylor Smith and Roberto Onofrio},
  journal= {arXiv preprint arXiv:0810.3251},
  year   = {2009}
}

Comments

5 pages, 4 figures

R2 v1 2026-06-21T11:32:14.434Z