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Isotropic Gaussian random fields on the sphere are characterized by Karhunen-Lo\`{e}ve expansions with respect to the spherical harmonic functions and the angular power spectrum. The smoothness of the covariance is connected to the decay of…

Probability · Mathematics 2015-10-26 Annika Lang , Christoph Schwab

We present a stochastic model for amplifying, diffusive media like, for instance, random lasers. Starting from a simple random-walk model, we derive a stochastic partial differential equation for the energy field with contains a…

Statistical Mechanics · Physics 2013-06-11 Stefano Lepri

The UV/optical variability of active galactic nuclei and quasars is useful for understanding the physics of the accretion disk and is gradually attributed to the stochastic fluctuations over the accretion disk. Quasars generally appear…

Astrophysics of Galaxies · Physics 2016-07-18 Zhen-Yi Cai , Jun-Xian Wang , Wei-Min Gu , Yu-Han Sun , Mao-Chun Wu , Xing-Xing Huang , Xiao-Yang Chen

Active galactic nuclei (AGN) have been observed to vary stochastically with 10-20 rms amplitudes over a range of optical wavelengths where the emission arises in an accretion disk. Since the accretion disk is unlikely to vary coherently,…

Cosmology and Nongalactic Astrophysics · Physics 2011-01-04 Jason Dexter , Eric Agol

Theory of random processes provides an attractive mathematical tool to describe the fluctuating signal from accreting sources, such as active galactic nuclei and Galactic black holes observed in X-rays. These objects exhibit featureless…

Astrophysics · Physics 2008-08-11 T. Pechacek , V. Karas , B. Czerny

We provide theoretical procedures and practical recipes to simulate non-Gaussian correlated, homogeneous random fields with prescribed marginal distributions and cross-correlation structure, either in a N-dimensional Cartesian space or on…

Astrophysics · Physics 2009-11-07 R. Vio , P. Andreani , L. Tenorio , W. Wamsteker

Hot spots residing on the surface of an accretion disc have been considered as a model of short-term variability of active galactic nuclei. In this paper we apply the theory of random point processes to model the observed signal from an…

Astrophysics · Physics 2007-11-30 T. Pechacek , V. Karas

Unresolved and resolved sources of gravitational waves are at the origin of a stochastic gravitational wave background. While the computation of its mean density as a function of frequency in a homogeneous and isotropic universe is standard…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-19 Giulia Cusin , Cyril Pitrou , Jean-Philippe Uzan

The model of a geometrically thin gaseous disk in the external gravitational potential is considered. The dinamics of small nonaxisymmetric perturbations in the plane of the accretion disk with dissipative effects is investigated. It is…

Astrophysics · Physics 2009-10-30 A. V. Khoperskov , S. S. Khrapov

We present a model of accretion disk where the disk luminosity is entirely due to the reprocessing of hard radiation impinging on the disk. The hard radiation itself is emitted by a hot point source above the disk, that could be physically…

Astrophysics · Physics 2007-05-23 G. Henri , G. Pelletier

We analyze the general relativistic oscillations of thin accretion disks around compact astrophysical objects interacting with the surrounding medium through non-gravitational forces. The interaction with the external medium (a thermal…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Tiberiu Harko , Gabriela Mocanu

In this paper, we calculate simulated scattered light images of a circumstellar disk in which a planet is forming by gravitational instability. The simulated images bear no correlation to the vertically integrated surface density of the…

Astrophysics · Physics 2009-11-13 Hannah Jang-Condell , Alan P. Boss

We study in this work a system of granular disks enclosed in a rectangular region. Granular disks are arranged, at high particle density, in a hexagonal lattice. Specifically, we are interested in the conditions for mechanical signal…

We derive the evolution equations describing a thin axisymmetric disk of gas and stars with an arbitrary rotation curve that is kept in a state of marginal gravitational instability and energy equilibrium due to the balance between energy…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Mark R. Krumholz , Andreas Burkert

Across a large range of scales, accreting sources show remarkably similar patterns of variability, most notably the log-normality of the luminosity distribution and the linear root-mean square (rms)-flux relationship. These results are…

High Energy Astrophysical Phenomena · Physics 2024-01-30 Samuel G. D. Turner , Christopher S. Reynolds

We show how analysis of a quasar high-magnification microlensing event may be used to construct a map of the frequency-dependent surface brightness of the quasar accretion disk. The same procedure also allows determination of the disk…

Astrophysics · Physics 2009-10-31 Eric Agol , Julian Krolik

We show that accretion disks, both in the subcritical and supercritical accretion rate regime, may exhibit significant amplitude luminosity oscillations. The luminosity time behavior has been obtained by performing a set of time-dependent…

Astrophysics · Physics 2009-11-10 V. Teresi , D. Molteni , E. Toscano

(Abridged). We model gravitational instability in a wide range of isolated disk galaxies, using GADGET, a three-dimensional, smoothed particle hydrodynamics code. The model galaxies include a dark matter halo and a disk of stars and…

Astrophysics · Physics 2010-11-11 Yuexing Li , Mordecai-Mark Mac Low , Ralf S. Klessen

The standard thin accretion disk model has been successfully used to explain the soft X-ray spectra of Galactic black hole systems and perhaps the UV emission of Active Galactic Nuclei. However, radiation pressure dominated disks are known…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Agnieszka Janiuk , Ranjeev Misra

An inhomogeneous anisotropic medium with specific structure geometry can apply the tunable spin-dependent geometrical phase to the light passing through the medium, and thus can be used to steer the spin-dependent splitting (SDS) of light.…

Optics · Physics 2012-11-26 Xiaohui Ling , Xinxing Zhou , Hailu Luo , Shuangchun Wen
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