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A variational approach to relativistic superfluid vortex elasticity

A variational approach to relativistic superfluid vortex elasticity
A variational approach to relativistic superfluid vortex elasticity
It is well known that a superfluid rotates by forming an array of quantized vortices. A relativistic formulation for superfluid vortex dynamics is required for a range of problems in astrophysics and cosmology, from neutron star interiors and radio pulsar glitches to possible dark matter condensates on galactic scales. This paper develops a formalism for such systems, extending the well-established variational approach to relativistic fluids to account for the presence of a collection of quantized vortices. The model is firmly anchored in the geometry of the problem (drawing on aspects from basic string dynamics) and accounts for elastic aspects associated with a vortex array, providing a precise foundation for applications which have so far been based on somewhat ad hoc phenomenology.
elasticity, fluid dynamics, neutron stars, vortices
0264-9381
1-24
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Wells, S.
7650a420-8b71-4713-a6af-71e186a0d792
Comer, G.L.
f2c1746c-8638-4268-94f0-e5d4375f0358
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Wells, S.
7650a420-8b71-4713-a6af-71e186a0d792
Comer, G.L.
f2c1746c-8638-4268-94f0-e5d4375f0358

Andersson, N., Wells, S. and Comer, G.L. (2020) A variational approach to relativistic superfluid vortex elasticity. Classical and Quantum Gravity, 37 (8), 1-24, [085014]. (doi:10.1088/1361-6382/ab79d7).

Record type: Article

Abstract

It is well known that a superfluid rotates by forming an array of quantized vortices. A relativistic formulation for superfluid vortex dynamics is required for a range of problems in astrophysics and cosmology, from neutron star interiors and radio pulsar glitches to possible dark matter condensates on galactic scales. This paper develops a formalism for such systems, extending the well-established variational approach to relativistic fluids to account for the presence of a collection of quantized vortices. The model is firmly anchored in the geometry of the problem (drawing on aspects from basic string dynamics) and accounts for elastic aspects associated with a vortex array, providing a precise foundation for applications which have so far been based on somewhat ad hoc phenomenology.

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More information

Accepted/In Press date: 25 February 2020
e-pub ahead of print date: 25 February 2020
Published date: 26 March 2020
Keywords: elasticity, fluid dynamics, neutron stars, vortices

Identifiers

Local EPrints ID: 440929
URI: http://eprints.soton.ac.uk/id/eprint/440929
ISSN: 0264-9381
PURE UUID: 5c58b358-170a-4aee-9c93-0f2512e655cf
ORCID for N. Andersson: ORCID iD orcid.org/0000-0001-8550-3843

Catalogue record

Date deposited: 22 May 2020 16:40
Last modified: 28 Apr 2022 01:44

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Contributors

Author: N. Andersson ORCID iD
Author: S. Wells
Author: G.L. Comer

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