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Analytical solution for magnetized thin accretion disk in comparison with numerical simulations

Published online by Cambridge University Press:  30 December 2019

Miljenko Čemeljić Open the ORCID record for Miljenko Čemeljić [Opens in a new window] ,
Varadarajan Parthasarathy  and
Włodek Kluźniak
Miljenko Čemeljić
Affiliation:
Nicolaus Copernicus Astronomical Center, Bartycka 18, 00-716 Warsaw, Poland email: miki,varada,wlodek@camk.edu.pl
Varadarajan Parthasarathy
Affiliation:
Nicolaus Copernicus Astronomical Center, Bartycka 18, 00-716 Warsaw, Poland email: miki,varada,wlodek@camk.edu.pl
Włodek Kluźniak
Affiliation:
Nicolaus Copernicus Astronomical Center, Bartycka 18, 00-716 Warsaw, Poland email: miki,varada,wlodek@camk.edu.pl
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Abstract

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We obtained equations for a thin magnetic accretion disk, using the method of asymptotic approximation. They cannot be solved analytically-without solutions for a magnetic field in the magnetosphere between the star and the disk, only a set of general conditions on the solutions can be derived. To compare the analytical results with numerical solutions, we find expressions for physical quantities in the disk, using our results from resistive and viscous star-disk magnetospheric interaction simulations.

Keywords

stars: formationstars: magnetic fields

References

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