Magnetic Corrections to the Boltzmann Distribution Function
R. B. Thomas
Source abstract
By means of an expansion in powers of the magnetic field, where classical statistics are assumed, an expression is found for the gauge-independent equilibrium distribution properly corresponding to the ordinary Boltzmann transport equation. The validity of the new distribution is demonstrated by determining the current density induced in a simple system of free electrons simultaneously accelerated by crossed electric and magnetic fields and comparing the current with that obtained using the gauge-dependent density matrix formalism. To terms of second order in the magnetic field, the results are shown to be in exact agreement.
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