Four Tensors Determining Thermal and Electric Conductivities of Degenerate Electrons in Magnetized Plasma

Бисноватый-Коган, Г. С.; Glushikhina, M. V.

doi:10.1134/s1063780x18120024

Cited by 9 publications

(8 citation statements)

References 19 publications

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“…Thermal conductivity tensor κ for strongly degenerate electrons in the magnetic field was obtained in [4,8] from the solution of a Boltzmann equation with a Chapman-Enskog method. This tensor includes the effect heat fluxes along and across the magnetic field as well as the Hall heat flux.…”

Section: Physical Model 21 Heat Transfer In a Magnetic Fieldmentioning

confidence: 99%

3D Numerical Study Of An Anisotropic Heat Transfer In Outer Layers Of Magnetized Neutron Stars

Kondratyev¹,

Moiseenko²,

Бисноватый-Коган³

et al. 2020

Proceedings of High Energy Phenomena in Relativistic Outflows VII — PoS(HEPRO VII)

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Periodic changes in a thermal soft X-ray flux of a rotating neutron star indicate a non-uniform distribution of the surface temperature. A possible cause of this phenomenon is a suppression of the heat flux across the magnetic field lines in a crust and an envelope of magnetized neutron stars. In this paper we study three-dimensional effects, associated with non-axisymmetric magnetic fields in neutron stars. We calculate the surface temperature distribution by solving numerically a three dimensional heat transfer equation in a magnetized neutron star crust. We adopt an anisotropic (tensorial) electron thermal conductivity coefficient, which is derived as an analytical solution of the Boltzmann equation with a Chapman-Enskog method. To calculate the surface temperature distribution, we construct a local one-dimensional plane-parallel model ("Ts-Tb"-relationship) of a magnetized neutron star envelope. We then use it as an outer boundary condition for the three-dimensional problem in the crust to find the self-consistent solution. To study possible observational manifestations from anisotropic temperature distributions we calculate light curves with a composite black-body model. Our calculations show, that a non-axisymmetric magnetic field distribution can lead to the irregular non-sinusoidal shape of a pulse profile as well as in some cases a significant amplification of pulsations of the thermal flux in comparison to the puredipolar magnetic field configurations. High Energy Phenomena in Relativistic Outflows VII -HEPRO VII

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Section: Physical Model 21 Heat Transfer In a Magnetic Fieldmentioning

confidence: 99%

3D Numerical Study Of An Anisotropic Heat Transfer In Outer Layers Of Magnetized Neutron Stars

Kondratyev¹,

Moiseenko²,

Бисноватый-Коган³

et al. 2020

Proceedings of High Energy Phenomena in Relativistic Outflows VII — PoS(HEPRO VII)

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“…The method for calculating the coefficients of the thermal conductivity tensor λ i j is described in detail in [13], where analytical expressions are obtained for them. Similarly, detailed description of calculating the coefficients of the tensors µ i j , ν i j and η i j , can be found in [14].…”

Section: Coefficients Of Thermal Diffusion Diffusion and Diffusion mentioning

confidence: 99%

Four Tensors Determining the Heat and Electro-Conductivities of Degenerate Electrons in the Dense Magnetized Matter

Glushikhina¹,

Бисноватый-Коган²

2020

Proceedings of High Energy Phenomena in Relativistic Outflows VII — PoS(HEPRO VII)

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A solution is obtained for the Boltzmann equation for a plasma in a magnetic field with strongly degenerate electrons and non-degenerate nuclei. In the Lorentz approximation, the components of the diffusion, thermal diffusion, and diffusion thermoeffect tensors in a non-quantizing magnetic field are calculated. This approximation, in which electron-electron collisions are neglected, is asymptotically accurate for a plasma with highly degenerate electrons. These formulas have a much more complex dependence on the magnetic field than similar dependences in previous publications on this topic.

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“…For strongly degenerate electrons at x 0 ≫ 1 the integrals in (3.11) with A (1) , A (2) A (3) from (3.9)-(3.10) are expressed analytically, using expansion formula [13]…”

Section: Heat Conductivity Of Strongly Degenerate Electrons In Presenmentioning

confidence: 99%

“…Here we present the solution of the Boltzmann equation for strongly degenerate electrons in non-quantized magnetic field, described in [3]. For strongly degenerate electrons we obtain an asymptotically exact analytical solution for the heat conductivity tensor in presence of a magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Kinetic theory of the heat conductivity in the crust of a magnetized neutron star

Бисноватый-Коган¹,

Glushikhina²

2018

Proceedings of XII Multifrequency Behaviour of High Energy Cosmic Sources Workshop — PoS(MULTIF2017)

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Four Tensors Determining Thermal and Electric Conductivities of Degenerate Electrons in Magnetized Plasma

Cited by 9 publications

References 19 publications

3D Numerical Study Of An Anisotropic Heat Transfer In Outer Layers Of Magnetized Neutron Stars

3D Numerical Study Of An Anisotropic Heat Transfer In Outer Layers Of Magnetized Neutron Stars

Four Tensors Determining the Heat and Electro-Conductivities of Degenerate Electrons in the Dense Magnetized Matter

Kinetic theory of the heat conductivity in the crust of a magnetized neutron star

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