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http://hdl.handle.net/10397/89124
Title: | Generalized Langevin equation with colored noise description of the stochastic oscillations of accretion disks | Authors: | Harko, T Leung, CS Mocanu, G |
Issue Date: | 2014 | Source: | European physical journal. C, Particles and fields, 2014, v. 74, no. 5, 2900, p. 1-16 | Abstract: | 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. | Publisher: | Springer | Journal: | European physical journal. C, Particles and fields | ISSN: | 1434-6044 | EISSN: | 1434-6052 | DOI: | 10.1140/epjc/s10052-014-2900-9 | Rights: | © The Author(s) 2014. This article is published with open access at Springerlink.com Open Access This article is distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/) which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited. License Version CC BY 4.0. The following publication Harko, T., Leung, C. S., & Mocanu, G. (2014). Generalized langevin equation with colored noise description of the stochastic oscillations of accretion disks. European Physical Journal C, 74(5), 2900, 1-16 is available at https://dx.doi.org/10.1140/epjc/s10052-014-2900-9 |
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