A Hall--Drift Induced Magnetic Field Instability

Details A Hall--Drift Induced Magnetic Field Instability A Hall--Drift Induced Magnetic Field Instability

2002-02-12

arxiv.org/abs/astro-ph/0202225v1

Astronomy and Astrophysics

Astrophysics

4 pages, 4 figures; to appear in Phys. Rev. Letters, March 18th, 2002

Scientific paper

In the presence of a strong magnetic field and under conditions as realized in the crust and the superfluid core of neutron stars the Hall--drift dominates the field evolution. We show by a linear analysis that for a sufficiently strong large--scale background field depending at least quadratically on position in a plane conducting slab an instability occurs which rapidly generates small--scale fields. Their growth rates depend on the choice of the boundary conditions, increase with the background field strength and may reach $10^3$ times the ohmic decay rate. The effect of that instability on the rotational and thermal evolution of neutron stars is discussed.

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