Calculation of Thermal Conductivity Coefficients of Electrons in Magnetized Dense Matter

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

“…An analytical solution in the trinomial approximation had not been obtained previously. The value of the thermal conductivity coefficients obtained in Braginsky's papers [12,13] in the twopolynomial approximation is twice as small as the corresponding values for the thermal conductivity obtained in [20]. This is due to the approach used in [12], which differs from the classical Chapman-Enskog method [1].…”

“…According to [1], the solution for the functions and is sought in the form of a series of orthogonal polynomials. The Sonine polynomials are the expansion coefficients of the function in powers of s: (20) They are orthogonal,…”

“…0 25 approaches [1,16,17,27]; see also [24]. For thermal conductivity, the convergence of the polynomial solution to the exact one was considered in [20]. The exact explicit solution for the Lorentz approximation is obtained for the case :…”

“…For partially degenerate electrons, for which the matrix coefficients were calculated in [20], with the level of degeneracy , system (24) is written in the form (105)…”

“…The absolute values of diffusion and the diffusion thermoeffect obtained by the method of successive approximations of polynomials should be compared with the exact solution and obtained by GLUSHIKHINA Taking into account the values of the coefficients obtained in [20], this system can be rewritten in the form (182)…”