Brownian motion with adhesion: Harmonic oscillator with fluctuating mass

M. Gitterman, V. I. Klyatskin

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


In contrast to the cases usually studied of a harmonic oscillator subject to a random force (Brownian motion) or having random frequency or random damping, we consider a random mass which corresponds to an oscillator for which the particles of the surrounding medium adhere to it for some (random) time after the collision, thereby changing the oscillator mass. This model, which describes Brownian motion with adhesion, can be useful for the analysis of chemical and biological solutions as well as nanotechnological devices. We consider dichotomous noise and its limiting case, white noise.

Original languageEnglish
Article number051139
JournalPhysical Review E
Issue number5
StatePublished - 28 May 2010


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