Observing fluctuating spectral density of subdiffusive overdamped Brownian particles in periodic potentials.
发布时间：2025-04-30
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- 发布时间：
- 2025-04-30
- 论文名称：
- Observing fluctuating spectral density of subdiffusive overdamped Brownian particles in periodic potentials.
- 发表刊物：
- Journal of Physics A
- 摘要：
- The aim of this paper is to develop a simple and efficient method for observing the fluctuating spectral density of subdiffusive Brownian motion in an overdamped periodic potential for exploring the subdiffusive property in frequency domain. Based on the general frame of linear response theory for subdiffusive fractional Fokker– Planck equation systems, an explicit relation between fluctuating spectral density and linear dynamical susceptibility is deduced, and then a method of moments based on the expansion of trigonometric functions is proposed for calculating the linear dynamic susceptibility. With the linear dynamic susceptibility available, the fluctuating spectral density is finally obtained. The numerical results demonstrate that subdiffusion weakens coherent oscillations in the periodic system, but enhances aperiodic components. Our observation embodies the fact of theMittag–Leffler residence time distribution with an infinite mean in the subdiffusive process from the frequency domain.
- 合写作者：
- Kang Yan-Mei, Jiang Jun, Xie Yong
- 是否译文：
- 否
- 发表时间：
- 2010-12-15