Superfluidity in neutron stars. I - Steady-state hydrodynamics and frictional heating

Astronomy and Astrophysics – Astrophysics

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Neutron Stars, Pulsars, Spin Reduction, Stellar Rotation, Superfluidity, Crab Nebula, Magnetohydrodynamic Stability, Time Dependence, Turbulence Effects

Scientific paper

The steady-state hydrodynamic response of a neutron star's superfluid interior to the decelerating torque responsible for pulsar slow-down is analyzed. General theoretical ideas are reviewed, including the two-component theory of neutron stars, hydrodynamic instabilities and period jumps in pulsars, and superfluid turbulence. In the analysis, the neutron superfluid is treated as a barotropic inviscid compressible fluid subjected to a time-dependent azimuthally symmetric body force. The results indicate that at relatively high temperatures (such as expected in the Crab pulsar), the superfluid should rotate everywhere as a rigid body at essentially the same rate as the crust. However, the interiors of all but the lightest long-period pulsars should undergo differential rotation at a rate significantly faster than that of their crusts. Pulsar temperatures are estimated on the basis of frictional heating, and possibilities are considered for optical detection of long-period pulsars.

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