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Regarding electrons scattering at transverse k x wave vectors, note that one could consider also average over the ballistic distance traveled by all conducting Fermi sphere electrons in the z direction which is 2 L m / π. The electrochemical splitting in the Fermi surface, when averaged over the mean-free path in the transport direction, is then 4 L m / π E b = Δ μ b. All of the resistance ratios and the electrochemical potential drop within the ballistic region work out again to produce Eq..
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