期刊
ASTROPHYSICAL JOURNAL
卷 906, 期 1, 页码 -出版社
IOP Publishing Ltd
DOI: 10.3847/1538-4357/abc8f3
关键词
Black holes; Accretion; Computational methods; Astrostatistics techniques
资金
- NSF [AST-1716327, OISE-1743747]
- Romano Professorial Scholarship
The study models astrophysical disk surface brightness fluctuations as an inhomogeneous, anisotropic, time-dependent Gaussian random field, providing pedagogical examples and a convenient parameterization for the local covariance model. By generating a disk animation and synthetic light curves, it is shown that the high frequency slope of the resulting power spectrum depends on the local covariance model.
We model astrophysical disk surface brightness fluctuations as an inhomogeneous, anisotropic, time-dependent Gaussian random field. The field locally obeys the stochastic partial differential equation of a Matern field, which has a power spectrum that is flat at large scales and falls off as a power law at small scales. We provide a series of pedagogical examples and along the way provide a convenient parameterization for the local covariance. We then consider two applications to disks. In the first we generate an animation of a disk. In the second, by integrating over an animation of a disk, we generate synthetic light curves and show that the high frequency slope of the resulting power spectrum depends on the local covariance model. We finish with a summary and a brief discussion of other possible astrophysical applications.
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