Asymptotic behavior of a harmonic oscillator driven by a generalized Mittag-Leffler noise

Trifce Sandev; ?ivorad Tomovski

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Asymptotic behavior of a harmonic oscillator driven by a generalized Mittag-Leffler noise

机译：广义Mittag-Leffler噪声驱动的谐振子的渐近行为

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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.

机译：通过分析广义Langevin方程，研究了由广义Mittag-Leffler噪声驱动的谐振子的渐近行为。利用拉普拉斯变换法和陶伯定理获得了扩散粒子的均方位移（MSD）和速度自相关函数（VACF）。发现对于各种参数值的MSD和VACF显示出幂律衰减，即，振荡器的异常扩散行为。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2010年第6期|共4页
作者
Trifce Sandev; ?ivorad Tomovski;
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8. Large-omega Asymptotic Expansions and Perturbation Theory for the Harmonic Oscillator [R] . Osche, G. R., Iafrate, G. J. 1970

机译：谐振子的大Ω欧姆渐近展开和微扰理论

Asymptotic behavior of a harmonic oscillator driven by a generalized Mittag-Leffler noise

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