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A toy model for magnetic extraction of energy from black hole accretion disk

机译：从黑洞吸积盘中磁吸能量的玩具模型

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摘要

A toy model for magnetic extraction of energy from black hole (BH) accretion disk is discussed by considering the restriction of the screw instability to the magnetic field configuration. Three mechanisms of extracting energy magnetically are involved. (1) The Blandford–Znajek (BZ) process is related to the open magnetic field lines connecting the BH with the astrophysical load; (2) the magnetic coupling (MC) process is related to the closed magnetic field lines connecting the BH with its surrounding disk; and (3) a new scenario (henceforth the DL process) for extracting rotational energy from the disk is related to the open field lines connecting the disk with the astrophysical load. The expressions for the electromagnetic powers and torques are derived by using the equivalent circuits corresponding to the above energy mechanisms. It turns out that the DL power is comparable with the BZ and MC powers as the BH spin approaches unity. The radiation from a quasi-steady thin disk is discussed in detail by applying the conservation laws of mass, energy and angular momentum to the regions corresponding to the MC and DL processes. In addition, the poloidal currents and the current densities in BH magnetosphere are calculated by using the equivalent circuits.
机译：通过考虑螺钉不稳定性对磁场配置的限制，讨论了一种用于从黑洞（BH）吸积盘中磁吸能量的玩具模型。涉及三种磁性提取能量的机制。 （1）Blandford-Znajek（BZ）过程与连接BH和天体载荷的开放磁场线有关; （2）磁耦合（MC）过程与连接BH及其周围磁盘的闭合磁场线有关; （3）从磁盘提取旋转能量的新方案（以下称为DL过程）与将磁盘与天体载荷相连接的开放磁场线有关。通过使用与上述能量机制相对应的等效电路来导出电磁功率和转矩的表达式。事实证明，随着BH自旋趋于统一，DL功率可与BZ和MC功率相媲美。通过将质量，能量和角动量的守恒定律应用于与MC和DL过程相对应的区域，详细讨论了来自准稳定薄盘的辐射。另外，利用等效电路计算出BH磁层的极向电流和电流密度。

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