Sandev, Trifce; Tomovski, Živorad Asymptotic behavior of a harmonic oscillator driven by a generalized Mittag-Leffler noise. (English) Zbl 1217.82056 Phys. Scr. 82, No. 6, Article ID 065001, 4 p. (2010). Summary: The asymptotic behavior of a harmonic oscillator driven by a generalized Mittag-Leffler noise was studied by analyzing the generalized Langevin equation. The mean square displacement (MSD) and the velocity autocorrelation function (VACF) of a diffusing particle were obtained by using the Laplace transform method and Tauberian theorem. It was found that the MSD and VACF for various values of the parameters show a power-law decay, i.e. an anomalous diffusive behavior of the oscillator. Cited in 8 Documents MSC: 82C24 Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics PDFBibTeX XMLCite \textit{T. Sandev} and \textit{Ž. Tomovski}, Phys. Scr. 82, No. 6, Article ID 065001, 4 p. (2010; Zbl 1217.82056) Full Text: DOI