Cumulant Analysis of the Statistical Properties of a Deterministically Thermostated Harmonic Oscillator

@article{Artemov2019CumulantAO,
  title={Cumulant Analysis of the Statistical Properties of a Deterministically Thermostated Harmonic Oscillator},
  author={A. N. Artemov},
  journal={Journal of Statistical Physics},
  year={2019},
  volume={174},
  pages={992-1010}
}
  • A. N. Artemov
  • Published 6 December 2017
  • Physics, Engineering
  • Journal of Statistical Physics
Usual approach to investigate the statistical properties of deterministically thermostated systems is to analyze the regime of the system motion. In this work the cumulant analysis is used to study the properties of the stationary probability distribution function of the deterministically thermostated harmonic oscillators. This approach shifts attention from the investigation of the geometrical properties of solutions of the systems to the studying a probabilistic measure. The cumulant… 
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