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The superfluid two-stream instability

The superfluid two-stream instability
The superfluid two-stream instability
This paper provides the first study of a new dynamical instability in superfluids. This instability is similar to the two-stream instability known to operate in plasmas. It is analogous to the Kelvin-Helmholtz instability, but has the distinguishing feature that the two fluids are interpenetrating. The instability sets in once the relative flow between the two components of the system reaches a critical level.
Our analysis is based on the two-fluid equations that have been used to model the dynamics of the outer core of a neutron star, where superfluid neutrons are expected to coexist with superconducting protons and relativistic electrons. These equations are analogous to the standard Landau model for superfluid Helium. We study this instability for two different model problems. First we analyze a local dispersion relation for waves in a system where one fluid is at rest while the other flows at a constant rate.
This provides a proof of principle of the existence of the two-stream instability for superfluids. Our second model problem concerns two rotating fluids confined within an infinitesimally thin spherical shell. The aim of this model is to assess whether the two-stream instability may be relevant (perhaps as a trigger mechanism) for pulsar glitches. Our results for this problem show that the entrainment effect could provide a sufficiently strong couplin or the instability to set in at a relative flow small enough to be astrophysically plausible.
instabilities, stars: neutron
0035-8711
101-110
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Comer, G.L.
f2c1746c-8638-4268-94f0-e5d4375f0358
Prix, R.
96ea3047-4071-44f4-9a9f-e9e331c61421
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Comer, G.L.
f2c1746c-8638-4268-94f0-e5d4375f0358
Prix, R.
96ea3047-4071-44f4-9a9f-e9e331c61421

Andersson, N., Comer, G.L. and Prix, R. (2004) The superfluid two-stream instability. Monthly Notices of the Royal Astronomical Society, 354 (1), 101-110. (doi:10.1111/j.1365-2966.2004.08166.x).

Record type: Article

Abstract

This paper provides the first study of a new dynamical instability in superfluids. This instability is similar to the two-stream instability known to operate in plasmas. It is analogous to the Kelvin-Helmholtz instability, but has the distinguishing feature that the two fluids are interpenetrating. The instability sets in once the relative flow between the two components of the system reaches a critical level.
Our analysis is based on the two-fluid equations that have been used to model the dynamics of the outer core of a neutron star, where superfluid neutrons are expected to coexist with superconducting protons and relativistic electrons. These equations are analogous to the standard Landau model for superfluid Helium. We study this instability for two different model problems. First we analyze a local dispersion relation for waves in a system where one fluid is at rest while the other flows at a constant rate.
This provides a proof of principle of the existence of the two-stream instability for superfluids. Our second model problem concerns two rotating fluids confined within an infinitesimally thin spherical shell. The aim of this model is to assess whether the two-stream instability may be relevant (perhaps as a trigger mechanism) for pulsar glitches. Our results for this problem show that the entrainment effect could provide a sufficiently strong couplin or the instability to set in at a relative flow small enough to be astrophysically plausible.

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More information

Published date: 2004
Keywords: instabilities, stars: neutron

Identifiers

Local EPrints ID: 29455
URI: https://eprints.soton.ac.uk/id/eprint/29455
ISSN: 0035-8711
PURE UUID: 4c9a1487-8ab7-47f8-a950-b8ac05e77f90
ORCID for N. Andersson: ORCID iD orcid.org/0000-0001-8550-3843

Catalogue record

Date deposited: 11 May 2006
Last modified: 18 May 2019 00:37

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Contributors

Author: N. Andersson ORCID iD
Author: G.L. Comer
Author: R. Prix

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