Resonant behavior of stochastic oscillations of general relativistic disks driven by a memory-damped friction

doi:10.1088/1674-1056/24/5/059801

中国物理B ›› 2015, Vol. 24 ›› Issue (5): 59801-059801.doi: 10.1088/1674-1056/24/5/059801

• GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS • 上一篇

Resonant behavior of stochastic oscillations of general relativistic disks driven by a memory-damped friction

汪志云, 陈培杰, 张良英

School of Physics and Electronic Engineering, Hubei University of Arts and Science, Xiangyang 441053, China

收稿日期:2014-10-20 修回日期:2014-11-26 出版日期:2015-05-05 发布日期:2015-05-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11045004) and the Key Program of the Scientific Research Foundation of the Education Bureau of Hubei Province, China (Grant No. D20132603).

Resonant behavior of stochastic oscillations of general relativistic disks driven by a memory-damped friction

Wang Zhi-Yun (汪志云), Chen Pei-Jie (陈培杰), Zhang Liang-Ying (张良英)

School of Physics and Electronic Engineering, Hubei University of Arts and Science, Xiangyang 441053, China

Received:2014-10-20 Revised:2014-11-26 Online:2015-05-05 Published:2015-05-05
Contact: Wang Zhi-Yun E-mail:wzy425@126.com
About author:98.62.Mw; 97.10.Sj; 97.60.Lf
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11045004) and the Key Program of the Scientific Research Foundation of the Education Bureau of Hubei Province, China (Grant No. D20132603).

摘要/Abstract

摘要： By using a generalized Langevin equation to describe the vertical oscillations of a general relativistic disk subjected to a memory-damped friction and a stochastic force, we derive the power spectrum density (PSD) of accretion disk oscillating luminosity by the method of Laplace transform, and discuss the influence of the system parameters on the resonant behavior in PSD curves. The results show that as the damping strength α and memory time τ of the friction increase, the variation of PSD with spectrum frequency f from monotonous decreasing to occurring maximums, and the phenomenon of a general stochastic resonance (SR) with a single peak and multi-peaks can be found in PSD curves. The radial distance parameter n, the mass M, and spin parameter a_* of the black hole determine the inherent frequency of vertical oscillations in the disk, and they have significant influences on the SR phenomena in a system of black hole binaries.

关键词: accretion disk, power spectrum density, memory-damped friction, stochastic resonance

Abstract: By using a generalized Langevin equation to describe the vertical oscillations of a general relativistic disk subjected to a memory-damped friction and a stochastic force, we derive the power spectrum density (PSD) of accretion disk oscillating luminosity by the method of Laplace transform, and discuss the influence of the system parameters on the resonant behavior in PSD curves. The results show that as the damping strength α and memory time τ of the friction increase, the variation of PSD with spectrum frequency f from monotonous decreasing to occurring maximums, and the phenomenon of a general stochastic resonance (SR) with a single peak and multi-peaks can be found in PSD curves. The radial distance parameter n, the mass M, and spin parameter a_* of the black hole determine the inherent frequency of vertical oscillations in the disk, and they have significant influences on the SR phenomena in a system of black hole binaries.

Key words: accretion disk, power spectrum density, memory-damped friction, stochastic resonance

中图分类号: (Infall, accretion, and accretion disks)

98.62.Mw

97.10.Sj (Pulsations, oscillations, and stellar seismology) 97.60.Lf (Black holes)

汪志云, 陈培杰, 张良英. Resonant behavior of stochastic oscillations of general relativistic disks driven by a memory-damped friction[J]. 中国物理B, 2015, 24(5): 59801-059801.

Wang Zhi-Yun (汪志云), Chen Pei-Jie (陈培杰), Zhang Liang-Ying (张良英). Resonant behavior of stochastic oscillations of general relativistic disks driven by a memory-damped friction[J]. Chin. Phys. B, 2015, 24(5): 59801-059801.

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Resonant behavior of stochastic oscillations of general relativistic disks driven by a memory-damped friction

Resonant behavior of stochastic oscillations of general relativistic disks driven by a memory-damped friction

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