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AN UNSTABLE SUPERFLUID STEWARTSON LAYER IN A DIFFERENTIALLY ROTATING NEUTRON STAR

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C. Peralta1,3 and A. Melatos2

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Experimental and numerical evidence is reviewed for the existence of a Stewartson layer in spherical Couette flow at small Ekman and Rossby numbers (E lsim 10–3, Ro lsim 10–2), the relevant hydrodynamic regime in the superfluid outer core of a neutron star. Numerical simulations of a superfluid Stewartson layer are presented for the first time, showing how the layer is disrupted by nonaxisymmetric instabilities. The unstable ranges of E and Ro are compared with estimates of these quantities in radio pulsars that exhibit glitches. It is found that glitching pulsars lie on the stable side of the instability boundary, allowing differential rotation to build up before a glitch.


Keywords

dense matter; hydrodynamics; stars: interiors; stars: neutron; stars: rotation


PACS

97.60.Jd Neutron stars

95.30.Lz Hydrodynamics

97.60.Gb Pulsars

97.10.Kc Stellar rotation

97.10.Cv Stellar structure, interiors, evolution, nucleosynthesis, ages

Subjects

Fluid dynamics

Astrophysics and astroparticles

Dates

Issue 2 (2009 August 20)

Received 2009 June 10, accepted for publication 2009 July 17

Published 2009 July 30



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