期刊论文详细信息
The European Physical Journal C
Generalized Langevin equation with colored noise description of the stochastic oscillations of accretion disks
Chun Sing Leung1  Tiberiu Harko2  Gabriela Mocanu3 
[1] Department of Applied Mathematics, Polytechnic University, Hong Kong, People’s Republic of China;Department of Mathematics, University College London, Gower Street, WC1E 6BT, London, UK;Faculty of Physics, Babes-Bolyai University, Cluj-Napoca, Romania;
关键词: Black Hole;    Accretion Disk;    Active Galactic Nucleus;    Central Black Hole;    Stochastic Oscillation;   
DOI  :  10.1140/epjc/s10052-014-2900-9
来源: Springer
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【 摘 要 】

We consider a description of the stochastic oscillations of the general relativistic accretion disks around compact astrophysical objects interacting with their external medium based on a generalized Langevin equation with colored noise and on the fluctuation–dissipation theorems. The former accounts for the general memory and retarded effects of the frictional force. The presence of the memory effects influences the response of the disk to external random interactions, and it modifies the dynamical behavior of the disk, as well as the energy dissipation processes. The generalized Langevin equation of the motion of the disk in the vertical direction is studied numerically, and the vertical displacements, velocities, and luminosities of the stochastically perturbed disks are explicitly obtained for both the Schwarzschild and the Kerr cases. The power spectral distribution of the disk luminosity is also obtained. As a possible astrophysical application of the formalism we investigate the possibility that the intra-day variability of the active galactic nuclei may be due to the stochastic disk instabilities. The perturbations due to colored/nontrivially correlated noise induce a complicated disk dynamics, which could explain some astrophysical observational features related to disk variability.

【 授权许可】

CC BY   

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