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
1-24
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Wells, S.
7650a420-8b71-4713-a6af-71e186a0d792
Comer, G.L.
f2c1746c-8638-4268-94f0-e5d4375f0358
26 March 2020
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), , [085014].
(doi:10.1088/1361-6382/ab79d7).
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
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Date deposited: 22 May 2020 16:40
Last modified: 17 Mar 2024 02:47
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Contributors
Author:
S. Wells
Author:
G.L. Comer
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