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Harmonic Oscillator with Fluctuating Mass
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Journal of Modern Physics·Volume 02 (2011)·Pages 1136–1140·Published 20 October 2011·DOI10.4236/jmp.2011.210140
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Abstract
We generalize the previously considered cases of a harmonic oscillator subject to a random force (Brownian motion), or having random frequency, or random damping. We consider here a random mass which corresponds to an oscillator where the particles of the surrounding medium adhere to the oscillator for some (random) time after collision, thereby changing the oscillator mass. Such a model is appropriate to chemical and biological solutions as well as to some nano-technological devices. The first moment and stability conditions for white and dichotomous noise are analyzed.
KeywordsStochastic OscillatorRandom MassStability
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