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Oscillator with random trichotomous mass


  • Gitterman, M.


In addition to the case usually considered of a stochastic harmonic oscillator subject to an external random force (Brownian motion in a parabolic potential) or to a random frequency and random damping, we consider an oscillator with random mass subject to an external periodic force, where the molecules of a surrounding medium, which collide with a Brownian particle are able to adhere to the oscillator for a random time, changing thereby the oscillator mass. The fluctuations of mass are modelled as trichotomous noise. Using the Shapiro–Loginov procedure for splitting the correlators, we found the first two moments. It turns out that the second moment is a non-monotonic function of the characteristics of noise and periodic signal, and for some values of these parameters, the oscillator becomes unstable.

Suggested Citation

  • Gitterman, M., 2012. "Oscillator with random trichotomous mass," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5343-5348.
  • Handle: RePEc:eee:phsmap:v:391:y:2012:i:22:p:5343-5348 DOI: 10.1016/j.physa.2012.05.051

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    References listed on IDEAS

    1. Campos, Diógenes, 2011. "A thermodynamic-like approach for the study of probabilistic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 214-222.
    2. Beck, Christian & Mackey, Michael C., 2007. "Measurability of vacuum fluctuations and dark energy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 101-110.
    3. Campos, Diógenes, 2011. "A thermodynamic-like characterization of Colombia’s presidential elections in 2010, and a comparison with other Latin American countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(10), pages 1779-1790.
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