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arXiv 2409.02899astro-ph.HEgr-qc
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面向由全球三维相对论吸积盘模拟校准的二维发电机模型

Toward 2D Dynamo Models Calibrated by Global 3D Relativistic Accretion Disk Simulations

Matthew D. Duez, Courtney L. Cadenhead, Zachariah B. Etienne, Bernard Kelly, Leonardo R. Werneck

AI总结:

本文利用全球三维相对论吸积盘模拟校准二维发电机模型,提出估计发电机 alpha 效应和湍流扩散率的新方法,并检验多种闭合模型,指出哪些推广方向更具前景。

摘要:

假设轴对称的二维模型是探索黑洞吸积盘长期演化的一种经济方法,但只有当非轴对称湍流对平均动量和磁场的反馈被纳入时,这些模型才是现实的。添加到二维感应方程中的发电机项应通过三维磁流体动力学模拟进行校准。为了具有普适性,发电机张量应作为局部变量的函数进行校准,而不是作为特定基底下空间坐标的显式函数。在本文中,我们利用 IllinoisGRMHD 代码的全球三维相对论笛卡尔模拟,研究非轴对称特征对二维平均场的反馈。我们引入了新方法来估计整体发电机 alpha 效应和湍流扩散率效应,以及衡量盘内部非轴对称能量和通量分量主导程度的指标。我们尝试使用最小二乘拟合建立发电机电动势的闭合模型,同时考虑系数张量是空间函数的模型和更具全局性、协变性的模型。这些模型均未被判定为令人满意,但我们能够就哪些类型的推广有前景、哪些没有前景得出结论。

英文摘要:

Two-dimensional models assuming axisymmetry are an economical way to explore the long-term evolution of black hole accretion disks, but they are only realistic if the feedback of the nonaxisymmetric turbulence on the mean momentum and magnetic fields is incorporated. Dynamo terms added to the 2D induction equation should be calibrated to 3D MHD simulations. For generality, the dynamo tensors should be calibrated as functions of local variables rather than explicit functions of spatial coordinates in a particular basis. In this paper, we study the feedback of non-axisymmetric features on the 2D mean fields using a global 3D, relativistic, Cartesian simulation from the IllinoisGRMHD code. We introduce new methods for estimating overall dynamo alpha and turbulent diffusivity effects as well as measures of the dominance of non-axisymmetric components of energies and fluxes within the disk interior. We attempt closure models of the dynamo EMF using least squares fitting, considering both models where coefficient tensors are functions of space and more global, covariant models. None of these models are judged satisfactory, but we are able to draw conclusions on what sorts of generalizations are and are not promising.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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