Abstract
The authors present, within the framework of the linearised Boltzmann equation and for a metal with a spherical Fermi surface, a theoretical analysis of the electrical resistivity of wires in the presence of normal electron-electron scattering, Umklapp electron-electron scattering and electron-impurity scattering when surface effects are not negligible. They give both approximate analytic and exact numerical results which, besides showing the general behaviour of the electrical resistivity with varying temperature, are able to explain from first principles of the Gurzhi effect and the Knudsen effect in metals. A comparison of the theoretical results with recent experimental data on the electrical resistivity of thin wires of potassium shows very satisfying agreement from both a qualitative and a quantitative point of view.
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