Calculation of thermal conductivity coefficients of electrons in magnetized dense matter

The solution of Boltzmann equation for plasma in magnetic field, with arbitrarily degenerate electrons and nondegenerate nuclei, is obtained by Chapman-Enskog method. Fully ionized plasma is considered. The tensor of the heat conductivity coefficients in non-quantized magnetic field is calculated. For strongly degenerate plasma the asymptotic analytic formulas are obtained. The Lorentz approximation, with neglecting of electron-electron encounters, is asymptotically exact for strongly degenerate plasma. For strongly degenerate electrons we obtain an asymptotically exact analytical solution for the heat conductivity tensor in presence of a magnetic field. This solution has considerably more complicated dependence on the magnetic field than those in previous publications, and gives several times smaller relative value of a thermal conductivity across the magnetic field at omega tau greater than or similar to 0.8.