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Stability of an Oscillator with Random Mass

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Abstract

We consider an oscillator with a random mass for which the particles of the surrounding medium adhere to the oscillator for some random time after the collision, thereby changing its mass (Brownian motion with adhesion). For the case of dichotomous multiplicative noise, the first moment can diverge, indicating that the system is unable to reach a steady state.

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Authors and Affiliations

  1. Department of Physics, Bar Ilan University, 52900, Ramat Gan, Israel

    M. Gitterman

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  1. M. Gitterman
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Correspondence to M. Gitterman.

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Gitterman, M. Stability of an Oscillator with Random Mass. J Stat Phys 157, 376–379 (2014). https://doi.org/10.1007/s10955-014-1080-1

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  • DOI: https://doi.org/10.1007/s10955-014-1080-1

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