Open AccessDiffusion in a linear oscillator driven by colored noises with white cross-correlation
Author(s) -
Deyi Chen,
Wang Zhong-Long
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.111
Subject(s) - white noise , physics , diffusion , colors of noise , noise (video) , colored , signal (programming language) , correlation function (quantum field theory) , multiplicative function , intensity (physics) , multiplicative noise , correlation coefficient , stochastic resonance , mathematical analysis , optics , statistics , mathematics , telecommunications , quantum mechanics , signal transfer function , materials science , artificial intelligence , dielectric , analog signal , image (mathematics) , computer science , composite material , transmission (telecommunications) , programming language
The diffusion in a linear oscillator driven by white cross-correlation colored noises in which one of the noises is modulated by a biased period signal is studied. Effects on d versus Q curve, d versus D curve, and d versus Ω curve by multiplicative colored noise self-correlation time τ1 as well as additive colored noise self-correlation time τ2 are revealed. Here d, Q, D, and Ω denote the diffusion coefficient of the oscillator, the intensity of the signal modulated noise, the intensity of the pure additive noise, and the signal frequency, respectively. It is found that a minimum exists in the d versus Q curve and the d versus D curve respectirely. The diffusion coefficient as a function of signal frequency Ω exhibits a pronounced maximum at Ω=Ω, here Ω is the oscillator frequency. The condition of diffusion coefficient d=0 is derived.