Induced Magnetic Field in Accretion Disks Around Neutron Stars: The Solution for the Induced Field

Written by magnetosphere | Published 2024/03/08
Tech Story Tags: neutron-stars | accretion-disks | magnetic-fields | astrophysics | magnetized-neutron-stars | induced-magnetic-field | magnetic-diffusion | induction-equation

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This paper is available on arxiv under CC 4.0 license.

Authors:

(1) A. V. Kuzin, Sternberg Astronomical Institute, Moscow, Russia and E-mail: [email protected].

Table of Links

Abstract and Introduction

Model of Disk and Neutron Star

Main Equations

The Solution for the Induced Field

Discussion

Conclusion and References

4. THE SOLUTION FOR THE INDUCED FIELD

where A, C may be found easily from boundary conditions.

The problem for u may be solved in the following way. First, we solve the Sturm-Liouville problem with corresponding boundary conditions:

Eigenfunctions of (27) are combinations of Bessel functions of the first and second kind:

while the eigenvalues are roots of the equation:


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