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Title: Stability of Hall equilibria in neutron star crusts

In the solid crusts of neutron stars, the advection of the magnetic field by the current-carrying electrons, an effect known as Hall drift, should play a very important role as the ions remain essentially fixed (as long as the solid does not break). Although Hall drift preserves the magnetic field energy, it has been argued that it may drive a turbulent cascade to scales at which ohmic dissipation becomes effective, allowing a much faster decay in objects with very strong fields. On the other hand, it has been found that there are 'Hall equilibria', i.e., field configurations that are unaffected by Hall drift. Here we address the crucial question of the stability of these equilibria through axially symmetric (two-dimensional (2D)) numerical simulations of Hall drift and ohmic diffusion, with the simplifying assumption of uniform electron density and conductivity. We demonstrate the 2D stability of a purely poloidal equilibrium, for which ohmic dissipation makes the field evolve toward an attractor state through adjacent stable configurations, around which damped oscillations occur. For this field, the decay scales with the ohmic timescale. We also study the case of an unstable equilibrium consisting of both poloidal and toroidal field components that are confined withinmore » the crust. This field evolves into a stable configuration, which undergoes damped oscillations superimposed on a slow evolution toward an attractor, just as the purely poloidal one.« less
Authors:
;  [1] ;  [2] ;  [3]
  1. Instituto de Astrofísica, Facultad de Física, Pontificia Universidad Católica de Chile, Av. Vicuña Mackenna 4860, Macul 7820436, Santiago (Chile)
  2. Departamento de Física, Facultad de Ciencias, Universidad de Chile Casilla 653, Santiago (Chile)
  3. Departamento de Ciencias Básicas, Universidad de Medellín Cra. 87 # 30-65, Medellín (Colombia)
Publication Date:
OSTI Identifier:
22370161
Resource Type:
Journal Article
Resource Relation:
Journal Name: Astrophysical Journal; Journal Volume: 796; Journal Issue: 2; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ATTRACTORS; AXIAL SYMMETRY; COMPUTERIZED SIMULATION; DECAY; DIFFUSION; ELECTRON DENSITY; ELECTRONS; EQUILIBRIUM; INSTABILITY; MAGNETIC FIELDS; NEUTRON STARS; NEUTRONS; OSCILLATIONS; STABILITY; STAR EVOLUTION; TWO-DIMENSIONAL CALCULATIONS