TY - JOUR
T1 - New stochastic equation for a harmonic oscillator
T2 - Brownian motion with adhesion
AU - Gitterman, M.
PY - 2010
Y1 - 2010
N2 - In addition to the usually considered stochastic harmonic oscillator with an external random force (Brownian motion) or with random frequency and random damping, 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 the oscillator mass. We have calculated the first two moments and the Lyapunov exponent, which describes the stability of the fixed point. This model can be useful for the analysis of chemical and biological solutions as well as for nano-technological devices.
AB - In addition to the usually considered stochastic harmonic oscillator with an external random force (Brownian motion) or with random frequency and random damping, 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 the oscillator mass. We have calculated the first two moments and the Lyapunov exponent, which describes the stability of the fixed point. This model can be useful for the analysis of chemical and biological solutions as well as for nano-technological devices.
UR - http://www.scopus.com/inward/record.url?scp=78651081739&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/248/1/012049
DO - 10.1088/1742-6596/248/1/012049
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:78651081739
SN - 1742-6588
VL - 248
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
M1 - 012049
ER -