色关联随机力作用下吸积盘振荡光度的功率密度谱

摘要

A generalized Langevin type equation driven by stochastic force with color correlation is used to describe the stochastic oscillations on the vertical direction of the accretion disk around black hole, the luminosity and the power spectral density for oscillating disk are calculated. Then the influences of parameters on the curves are discussed. The results show that,when all parameters of system take appropriate values, the stochastic resonance phenomenon is found in power spectral density curves; The correlated time of stochastic force, mass accretion rateαand viscidity coefficientβaffect the strength of stochastic resonance, and the position of resonance peak is changed with variety of the mass of black hole.%采用受色关联随机力作用下的广义朗之万方程描述黑洞吸积盘的垂向振荡，推导得到吸积盘随机振荡的光度和功率密度谱，并分析了黑洞双星系统参数对功率谱曲线的影响。研究结果表明：当选取适当系统参数时，功率密度谱曲线上会出现随机共振现象；随机力的关联时间、吸积盘的吸积率和粘滞系数决定随机共振强弱，但共振峰位置只随黑洞质量不同而发生变化。