We present a perturbative method of calculating the temperature-dependent correction, Delta G, to the Landauer conductance which is due to the inelastic electron-phonon scattering. The limits of applicability of these methods as well as the critical interval of temperature (and other relevant parameters) on which the transition from the ballistic transport to the Boltzmann-Drude transport occurs are discussed.
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Gurevich et al. (1994) studied this question.