Magnetically threaded accretion disks in resistive magnetohydrodynamic simulations and asymptotic expansion
Abstract
Aims: A realistic model of magnetic linkage between a central object and its accretion disk is a prerequisite for understanding the spin history of stars and stellar remnants. To this end, we aim to provide an analytic model in agreement with magnetohydrodynamic (MHD) simulations.
Methods: For the first time, we wrote a full set of stationary asymptotic expansion equations of a thin magnetic accretion disk, including the induction and energy equations. We also performed a resistive MHD simulation of an accretion disk around a star endowed with a magnetic dipole, using the publicly available code PLUTO. We compared the analytical results with the numerical solutions, and discussed the results in the context of previous solutions of the induction equation describing the stardisk magnetospheric interaction.
Results: We found that the magnetic field threading the disk is suppressed by orders of magnitude inside thin disks, so the presence of the stellar magnetic field does not strongly affect the velocity field, nor the density profile inside the disk. Density and velocity fields found in the MHD simulations match the radial and vertical profiles of the analytic solution. Qualitatively, the MHD simulations result in an internal magnetic field similar to the solutions previously obtained by solving the induction equation in the disk alone. However, the magnetic field configuration is quantitatively affected by magnetic field inflation outside the disk; this is reflected in the net torque. The torque on the star is an order of magnitude larger in the magnetic than in the nonmagnetic case. Spinup of the star occurs on a timescale comparable to the accretion timescale in the MHD case, and is an order of magnitude slower in the absence of a stellar magnetic field.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 October 2023
 DOI:
 10.1051/00046361/202140637
 arXiv:
 arXiv:2308.14910
 Bibcode:
 2023A&A...678A..57C
 Keywords:

 accretion;
 accretion disks;
 magnetohydrodynamics (MHD);
 methods: analytical;
 methods: numerical;
 stars: neutron;
 Xrays: binaries;
 Astrophysics  Solar and Stellar Astrophysics;
 Astrophysics  High Energy Astrophysical Phenomena
 EPrint:
 17 pages, accepted in Astronomy and Astrophysics. arXiv admin note: text overlap with arXiv:1907.12592