Abstract

One of the most popular models for the generation of magnetic fields in galaxies is the no-\(z\) approximation in dynamo theory. It allows one to reduce the problem of the evolution of the magnetic field to solving a system of two equations for components that lie in the plane of the galactic disk. Usually, the study of such problems is carried out numerically. Moreover, in some cases, this system of equations gives us an opportunity to find an analytical solution, which makes it possible to answer a number of important fundamental questions. In this paper, a spectral decomposition of the solution of the corresponding problem is presented and the critical values of the dynamo numbers for various modes of the solution are determined.

中文翻译：

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No-z逼近中产生银河磁场问题的解的谱分解

摘要

用于生成星系中磁场的最流行模型之一是发电机理论中的no \（z \）近似。它允许减少磁场演化的问题，从而解决位于银河系盘平面中的两个方程组成的系统。通常，对这些问题的研究是通过数字进行的。而且，在某些情况下，该方程组使我们有机会找到解析解，这使得有可能回答许多重要的基本问题。在本文中，提出了相应问题解的频谱分解，并确定了各种解模式下发电机数的临界值。