Spectral simulations of an axisymmetric forcefree pulsar magnetosphere
Abstract
A pseudospectral method with an absorbing outer boundary is used to solve a set of timedependent forcefree equations. In this method, both electric and magnetic fields are expanded in terms of the vector spherical harmonic (VSH) functions in spherical geometry and the divergencefree state of the magnetic field is enforced analytically by a projection method. Our simulations show that the Deutsch vacuum solution and the Michel monopole solution can be reproduced well by our pseudospectral code. Further, the method is used to present a timedependent simulation of the forcefree pulsar magnetosphere for an aligned rotator. The simulations show that the current sheet in the equatorial plane can be resolved well and the spindown luminosity obtained in the steady state is in good agreement with the value given by Spitkovsky.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 February 2016
 DOI:
 10.1093/mnras/stv2577
 arXiv:
 arXiv:1511.07934
 Bibcode:
 2016MNRAS.455.4267C
 Keywords:

 magnetic fields;
 MHD;
 methods: numerical;
 pulsars: general;
 Astrophysics  High Energy Astrophysical Phenomena
 EPrint:
 8 pages, 7 figures, Accepted for publication in MNRAS