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

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

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.

Keywords: accretion disk power spectrum density memory-damped friction stochastic resonance

Received: 20 October 2014
Revised: 26 November 2014
Accepted manuscript online:

PACS:	98.62.Mw	(Infall, accretion, and accretion disks)
	97.10.Sj	(Pulsations, oscillations, and stellar seismology)
	97.60.Lf	(Black holes)

Fund: 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).

Corresponding Authors: Wang Zhi-Yun
E-mail: wzy425@126.com

About author: 98.62.Mw; 97.10.Sj; 97.60.Lf

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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 2015 Chin. Phys. B 24 059801

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

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