单脉冲噪声驱动的分数阶调和振子的均方位移（英文）

发布时间：2018-01-01 04:10

本文关键词：单脉冲噪声驱动的分数阶调和振子的均方位移（英文）　出处：《四川大学学报(自然科学版)》2016年04期 　论文类型：期刊论文

【摘要】：通过光钳实验获取粒子的均方位移并据此建模是微观流变学中计算介质的局部响应函数的常用方法之一.本文考虑单脉冲噪声驱动的分数阶调和振子的均方位移.利用Laplace变换及双Laplace变换技巧,本文得到了振子的均值、方差及相关函数,进而求得均方位移.然后本文基于均方位移的渐近行为研究了振子的短时及长时扩散行为.研究表明,振子的短时扩散是弹道的而在长时则幂律地趋近于均衡值.
[Abstract]:It is one of the common methods for calculating the local response function of medium in microscopic rheology to obtain the mean square displacement of particles by optical clamp experiment. The mean square displacement of fractional harmonic oscillator driven by monopulse noise is considered in this paper. Using the techniques of Laplace transform and double Laplace transform. In this paper, the mean value, variance and correlation function of the oscillator are obtained, and then the mean square displacement is obtained. Then, based on the asymptotic behavior of the mean square displacement, the short-time and long-time diffusion behavior of the oscillator is studied. The short time diffusion of oscillator is ballistic, but in long time, the equalization value is approached by power law.
【作者单位】：四川大学数学学院;四川理工学院理学院;
【基金】：国家自然科学基金(11171238) 桥梁无损检测与工程计算四川省高校重点实验室开放基金(2015QYJ06)
【分类号】：O302
【正文快照】：

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