3D Simulation of Anisotropic Heat Transfer in Outer Layers of Magnetized Neutron Stars

— The results of three-dimensional numerical simulation of heat transfer in the outer layers of magnetized neutron stars are presented. Determining the structure of the magnetic field on a neutron star surface is an important task of modern astrophysics. In the presence of strong magnetic fields, th...

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Bibliographic Details
Published in:Astronomy reports 2020-03, Vol.64 (3), p.226-243
Main Authors: Kondratyev, I. A., Moiseenko, S. G., Bisnovatyi-Kogan, G. S., Glushikhina, M. V.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics
Boltzmann equation
Boltzmann transport equation
Computer simulation
Conduction heating
Conductive heat transfer
Heat
Heat transfer
Magnetic fields
Mathematical analysis
Neutron stars
Neutrons
Numerical methods
Numerical simulations
Observations and Techniques
Physics
Physics and Astronomy
Stellar magnetic fields
Temperature distribution
Tensors
Tetrahedra
Thermal conductivity
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Summary:— The results of three-dimensional numerical simulation of heat transfer in the outer layers of magnetized neutron stars are presented. Determining the structure of the magnetic field on a neutron star surface is an important task of modern astrophysics. In the presence of strong magnetic fields, the medium becomes anisotropic, and the laws of heat conduction change. The tensor coefficient of thermal conductivity for magnetized degenerate plasma was obtained by Bisnovatyi-Kogan and Glushikhina by solving the Boltzmann equation with the Chapman–Enskog method. In this paper, the temperature distribution on the surface of a magnetized neutron star is obtained for magnetic fields of the dipolar and quadrupolar type, as well as for their superposition. To numerically solve the stationary temperature distribution problem in the outer layers of a magnetized neutron star, the basic (support) operator numerical method was extended to a three-dimensional case. The problem was solved on the grid which consists of tetrahedra.
ISSN:1063-7729
1562-6881
DOI:10.1134/S1063772920020031