论文标题
磁盘为无与伦比的各向异性高斯随机场
Disks as Inhomogeneous, Anisotropic Gaussian Random Fields
论文作者
论文摘要
我们将天体物理磁盘表面亮度波动建模为一种不均匀的，各向异性的，时间依赖的高斯随机场。该场在局部遵守Matérn场的随机部分微分方程，该方程的功率谱在大尺度上是平坦的，并且在小尺度上以功率定律掉落。我们提供了一系列的教学示例，并在此过程中为局部协方差提供了方便的参数化。然后，我们考虑到磁盘的两个应用程序。首先，我们生成磁盘的电影。在第二个，通过整合磁盘的电影，我们生成合成光曲线，并表明所得功率谱的高频斜率取决于局部协方差模型。我们结束了摘要和简要讨论其他可能的天体物理应用。
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 Matérn 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 a movie of a disk. In the second, by integrating over a movie 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.
