Ornstein-Uhlenbeck Process with Fluctuating Damping
Statistical Mechanics
2017-11-30 v3 Mathematical Physics
math.MP
Abstract
This paper studies Langevin equation with random damping due to multiplicative noise and its solution. Two types of multiplicative noise, namely the dichotomous noise and fractional Gaussian noise are considered. Their solutions are obtained explicitly, with the expressions of the mean and covariance determined explicitly. Properties of the mean and covariance of the Ornstein-Uhlenbeck process with random damping, in particular the asymptotic behavior, are studied. The effect of the multiplicative noise on the stability property of the resulting processes is investigated.
Keywords
Cite
@article{arxiv.1612.03013,
title = {Ornstein-Uhlenbeck Process with Fluctuating Damping},
author = {Chai Hok Eab and S. C. Lim},
journal= {arXiv preprint arXiv:1612.03013},
year = {2017}
}
Comments
22 pages, 5 figures, accepted to be published in Physica A