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Mutual friction in superfluid neutron stars

Mutual friction in superfluid neutron stars
Mutual friction in superfluid neutron stars
We discuss vortex-mediated mutual friction in the two-fluid model for superfluid neutron star cores. Our discussion is based on the general formalism developed by Carter and collaborators, which makes due distinction between transport velocity and momentum for each fluid. This is essential for an implementation of the so-called entrainment effect, whereby the flow of one fluid imparts momentum in the other and vice versa. The mutual friction follows by balancing the Magnus effect that acts on the quantized neutron vortices with resistivity due to the scattering of electrons off of the magnetic field with which each vortex core is endowed. We derive the form of the macroscopic mutual friction force which is relevant for a model based on smooth-averaging over a collection of vortices. We discuss the coefficients that enter the expression for this force, and the time-scale on which the two interpenetrating fluids in a neutron star core are coupled. This discussion confirms that our new formulation accords well with previous work in this area.
0035-8711
162-170
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Sidery, T.
bc971e4a-89f6-4e64-aa6e-9fefac007786
Comer, G.L.
f2c1746c-8638-4268-94f0-e5d4375f0358
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Sidery, T.
bc971e4a-89f6-4e64-aa6e-9fefac007786
Comer, G.L.
f2c1746c-8638-4268-94f0-e5d4375f0358

Andersson, N., Sidery, T. and Comer, G.L. (2006) Mutual friction in superfluid neutron stars. Monthly Notices of the Royal Astronomical Society, 368, 162-170. (doi:10.1111/j.1365-2966.2006.10147.x).

Record type: Article

Abstract

We discuss vortex-mediated mutual friction in the two-fluid model for superfluid neutron star cores. Our discussion is based on the general formalism developed by Carter and collaborators, which makes due distinction between transport velocity and momentum for each fluid. This is essential for an implementation of the so-called entrainment effect, whereby the flow of one fluid imparts momentum in the other and vice versa. The mutual friction follows by balancing the Magnus effect that acts on the quantized neutron vortices with resistivity due to the scattering of electrons off of the magnetic field with which each vortex core is endowed. We derive the form of the macroscopic mutual friction force which is relevant for a model based on smooth-averaging over a collection of vortices. We discuss the coefficients that enter the expression for this force, and the time-scale on which the two interpenetrating fluids in a neutron star core are coupled. This discussion confirms that our new formulation accords well with previous work in this area.

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Published date: 2006

Identifiers

Local EPrints ID: 29467
URI: http://eprints.soton.ac.uk/id/eprint/29467
ISSN: 0035-8711
PURE UUID: 0504522e-899b-423f-8fb8-ce61c76961be
ORCID for N. Andersson: ORCID iD orcid.org/0000-0001-8550-3843

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Date deposited: 11 May 2006
Last modified: 29 Oct 2019 01:59

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