比尔曼电池和吸积盘的磁场

R. Andreasyan
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引用次数: 0

摘要

为了理解吸积盘中的不同过程,例如与吸积盘密切相关的角动量的跃迁,需要对磁场进行研究。有不同的方法来描述宇宙物体磁场的增长。其中之一是基于比尔曼电池机制,该机制先前已被用于研究星系中磁场的起源。它是基于不同的质量和相同的质子和电子电荷的绝对值,它们在圆盘上移动。它们与旋转介质相互作用,获得方位速度,并产生与圆盘磁场相关的圆形电流。这样的磁场会影响产生磁场的带电粒子的运动,我们应该考虑反馈。对这一机制的数学描述使我们得到第二类fredholm型积分方程。本文采用伽辽金方法对其进行数值求解。这里我们给出了不同情况下的解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Biermann Battery and Magnetic Fields of Accretion Discs
Magnetic fields should be studied to understand different processes in accretion discs, such as transition of angular momentum which is closely connected with them. There are different ways to describe the growth of magnetic fields of cosmic objects. One of them is based on Biermann battery mechanism which previously has been used to study the origin of magnetic fields in galaxies. It is based on different masses and same absolute values of charges of protons and electrons, which move across the disc. They interact with rotating medium, get azimuthal velocity and produce circular currents that are associated with the magnetic fields in the disc. Such magnetic field influences the motion of the charged particles that created it, and we should take into account the feedback. Mathematical description of this mechanism leads us to the Fredholm-type integral equation of the 2nd kind. In the presented work it is solved numerically using Galerkin methods. Here we give the solutions of different cases.
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