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Electrical resistivity and Hall effect in binary neutron star mergers

  • Arus Harutyunyan
  • Antonios Nathanail
  • Luciano Rezzolla
  • Armen SedrakianEmail author
Regular Article - Theoretical Physics
First Online:
Part of the following topical collections:
  1. First joint gravitational wave and electromagnetic observations: Implications for nuclear and particle physics

Abstract.

We examine the range of rest-mass densities, temperatures and magnetic fields involved in simulations of binary neutron star mergers and identify the conditions under which the ideal-magnetohydrodynamics approximation breaks down and hence the magnetic-field decay should be accounted for. We use recent calculations of the conductivities of warm correlated plasma in envelopes of compact stars and find that the magnetic-field decay timescales are much larger than the characteristic timescales of the merger process for lengthscales down to a meter. Because these are smaller than the currently available resolution in numerical simulations, the ideal-magnetohydrodynamics approximation is effectively valid for all realistic simulations. At the same time, we find that the Hall effect can be important at low densities and low temperatures, where it can induce a non-dissipative rearrangement of the magnetic field. Finally, we mark the region in temperature and density where the hydrodynamic description breaks down.

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Copyright information

© SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Arus Harutyunyan
    • 1
  • Antonios Nathanail
    • 1
  • Luciano Rezzolla
    • 1
    • 2
  • Armen Sedrakian
    • 2
    • 1
    Email author
  1. 1.Institute for Theoretical PhysicsJ. W. Goethe-UniversityFrankfurt am MainGermany
  2. 2.Frankfurt Institute for Advanced StudiesFrankfurt am MainGermany

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