Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006rmxac..26r.175p&link_type=abstract
XI IAU Regional Latin American Meeting of Astronomy (Eds. L. Infante & M. Rubio) Revista Mexicana de Astronomía y Astrofísica (S
Astronomy and Astrophysics
Astronomy
Scientific paper
In order to understand a possible decay modes of a neutron star magnetic field, we used electron-magnetohydrodynamics equations to calculate the evolution of a specific configuration in a solid sphere. Assuming a high conductivity, we found that the evolution of a purely toroidal field can be written in terms of the dissipationaless Burger equation, which has a family of stationary solutions. Introducing a small perturbation in the stationary toroidal field, we found that the poloidal component of the perturbation grows with time. Therefore, a toroidal magnetic field is unstable to poloidal perturbations under Hall effect. This instability under Hall effect was found numerically in the works of Urpin and Shalybkov and Reinhardt and Geppert.
Prieto Joaquin P.
Reisenegger Andreas
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