MG14 - Talk detail

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Abstract

The solution of the system of Boltzmann equation for plasma in magnetic field is obtained by Chapman-Enskog method. Three functions, generalising Sonin polynomials are used for obtaining an approximal solution. Fully ionized plasma is considered. The tensor of the heat conductivity coefficients in non-quantising magnetic field is calculated. For nondegenerate and strongly degenerate plasma the asymptotic analytic formulae are obtained, which are compared with different results of previous authors. Due to kinetic approach, our results are more exact than usually used coefficients, obtained by a simplified approach for the thermal conductivity in a plasma of a neutron star crust. For strongly degenerate plasma Lorentz approximation, with neglecting of electron-electron encounters, is asymptotically exact, and our 3-functional approximate solution gives results which deviate from an exact solution less than 3% for all values of the magnetic field. The deviation decreases with increasing of the field.

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