Can the battery (del T X del n) effect produce 10 exp 12 G magnetic fields in neutron stars?

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Neutron Stars, Stellar Magnetic Fields, Field Strength, Stellar Evolution, Stellar Structure, Vorticity

Scientific paper

Magnetic fields in neutron stars may be generated by a thermally-driven battery process after the star is born. The fluid motion induced in the liquid crust by this thermomagnetic process is discussed. A generalized vorticity conservation formula is derived and it is shown that fluid vortices are also generated together with the magnetic field and grow with increasing field strength. The maximum field strength produced by this process is 10 G unless the fluid velocity exceeds the velocity of sound. Even a dynamo action cannot enhance these fields beyond this critical value if the fluid motion and magnetic fields have the same origin. These results indicate that a thermomagnetic process is probably not responsible for the origin of the neutron star magnetic fields.

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