Autor:	Eab, Chai Hok, Lim, S. C.
Rok vydání:	2016
Předmět:	Condensed Matter - Statistical Mechanics Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	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. Comment: 22 pages, 5 figures, accepted to be published in Physica A
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1612.03013 Zobrazit plný text záznamu View this record from Arxiv