Abstract
In this article, it is pointed out that in a strong magnetic field the usual Boltzmann Equation with Lorentz force term is inconsistent with the fundamental requirements of the general theory of non-equilibrium statistical mechanics. Furthermore, if a collision term corresponding to particles in different gyro-orbits is used, we find that all the transport coefficients are exactly zero.General expressions for the transport coefficients in classical systems are then obtained by introducing the macroscopic velocities[3]. A comparison between our results and those of the usual Boltzmann Equation indicates that in the case of short range force, the lowest order terms are the same and the results of the Boltzmann Equation become increasingly worse as more higher order terms are kept.
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