Magnetic field evolution in superconducting neutron stars

Vanessa Graber, Nils Andersson, Kostas Glampedakis, Samuel K. Lander

Research output: Contribution to journalArticlepeer-review

48 Citations (Scopus)


The presence of superconducting and superfluid components in the core of mature neutron stars calls for the rethinking of a number of key magnetohydrodynamical notions like resistivity, the induction equation, magnetic energy and flux-freezing. Using a multifluid magnetohydrodynamics formalism, we investigate how the magnetic field evolution is modified when neutron star matter is composed of superfluid neutrons, type-II superconducting protons and relativistic electrons. As an application of this framework, we derive an induction equation where the resistive coupling originates from the mutual friction between the electrons and the vortex/fluxtube arrays of the neutron and proton condensates. The resulting induction equation allows the identification of two time-scales that are significantly different from those of standard magnetohydrodynamics. The astrophysical implications of these results are briefly discussed.

Original languageEnglish
Pages (from-to)671-681
Number of pages11
JournalMonthly Notices of the Royal Astronomical Society
Issue number1
Early online date17 Aug 2015
Publication statusPublished - Oct 2015


  • MHD
  • Stars: magnetic field
  • Stars: neutron

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