Brownian motion with adhesion: Linear and quadratic noise

M. Gitterman

Research output: Contribution to journalArticlepeer-review


We consider a new type of the Brownian motion, in which the surrounding molecules are capable not only of colliding with the Brownian particle, but also of adhering to the Brownian particle for some time, thereby randomly changing its mass. The second moment, 〈v 2〉, becomes negative either due to the large strength of the mass fluctuations or due to the large amplitude of an external periodic field indicating an instability of the system, which cannot reach the stationary state.

Original languageEnglish
Article number1242001
JournalFluctuation and Noise Letters
Issue number3
StatePublished - Sep 2012


  • Brownian motion
  • fluctuating mass
  • second moment


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