TY - JOUR

T1 - Mean-square displacement of a stochastic oscillator

T2 - Linear vs quadratic noise

AU - Gitterman, M.

PY - 2012/6/1

Y1 - 2012/6/1

N2 - Using the Langevin equations, we calculated the stationary second-order moment (mean-square displacement) of a stochastic harmonic oscillator subject to an additive random force (Brownian motion in a parabolic potential) and to different types of multiplicative noise (random frequency or random damping or random mass). The latter case describes Brownian motion with adhesion, where the particles of the surrounding medium may adhere to the oscillator for some random time after the collision. Since the mass of the Brownian particle is positive, one has to use quadratic (positive) noise. For all types of multiplicative noise considered, replacing linear noise by quadratic noise leads to an increase in stability.

AB - Using the Langevin equations, we calculated the stationary second-order moment (mean-square displacement) of a stochastic harmonic oscillator subject to an additive random force (Brownian motion in a parabolic potential) and to different types of multiplicative noise (random frequency or random damping or random mass). The latter case describes Brownian motion with adhesion, where the particles of the surrounding medium may adhere to the oscillator for some random time after the collision. Since the mass of the Brownian particle is positive, one has to use quadratic (positive) noise. For all types of multiplicative noise considered, replacing linear noise by quadratic noise leads to an increase in stability.

KW - Additive and multiplicative linear and quadratic random forces

KW - Stationary second moment

KW - Stochastic oscillator

UR - http://www.scopus.com/inward/record.url?scp=84858069573&partnerID=8YFLogxK

U2 - 10.1016/j.physa.2012.01.021

DO - 10.1016/j.physa.2012.01.021

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

SN - 0378-4371

VL - 391

SP - 3033

EP - 3042

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 11

ER -