2016MNRAS.458.2840B -
Mon. Not. R. Astron. Soc., 458, 2840-2847 (2016/May-3)
Effect of magnetized phonons on electrical and thermal conductivity of neutron star crust.
BAIKO D.A.
Abstract (from CDS):
We study electrical and thermal conductivities of degenerate electrons emitting and absorbing phonons in a strongly magnetized crystalline neutron star crust. We take into account modification of the phonon spectrum of a Coulomb solid of ions caused by a strong magnetic field. Boltzmann transport equation is solved using a generalized variational method. The ensuing 3D integrals over the transferred momenta are evaluated by two different numerical techniques, the Monte Carlo method and a regular integration over the first Brillouin zone. The results of the two numerical approaches are shown to be in a good agreement. An appreciable growth of electrical and thermal resistivities is reported at quantum and intermediate temperatures T <= 0.1Tp (Tp is the ion plasma temperature) in a wide range of chemical compositions and mass densities of matter even for moderately magnetized crystals ωB ∼ ωp (ωB and ωp are the ion cyclotron and plasma frequencies). This effect is due to an appearance of a soft (ω ∝ k2) phonon mode in the magnetized ion Coulomb crystal, which turns out to be easier to excite than acoustic phonons characteristic of the field-free case. These results are important for modelling magneto-thermal evolution of neutron stars.
Abstract Copyright:
© 2016 The Author Published by Oxford University Press on behalf of the Royal Astronomical Society
Journal keyword(s):
dense matter - stars: neutron
Simbad objects:
1
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