简谐速度噪声及其与势场之间的频率共振

为了描述复杂的噪声环境，考虑了一种具有频率结构的噪声——简谐速度噪声，包括它的产生、关联函数、功率谱以及作为热噪声时的频率特性所导致的一些行为.结果表明：在频谱空间中简谐速度噪声是一种带通噪声，存在一个峰值频率，且噪声带宽由参量Γ控制.当简谐势中的一个布朗粒子受热简谐速度噪声驱动时，粒子能量极大值出现在两种频率相等的情况下.这表明噪声和势场的频率之间存在动力学共振，决定着粒子能量的大小. 关键词： 简谐噪声 简谐速度噪声 功率谱 频率共振

Harmonic velocity noise and its frequency resonance with the potential

A noise with frequency structure, i.e. the harmonic velocity noise is investigated to describe the complicated noise environment. We studied the noise's occurrence, correlation function, power spectrum, as well as some behaviors caused by its frequency characteristics when it acts as a thermal noise. The results show that the harmonic velocity noise is band-passing in frequency spectral space with a peak frequency and the band width is determined by Γ. If a Brownian particle in a harmonic potential is driven by a thermal harmonic velocity noise, its maximum energy appears when the two frequencies are equal. This testifies that there is a dynamical resonance between the frequencies of the noise and the potential, which controls the particle's energy.