Contribution of electron-electron normal scattering processes to the electrical resistivity of thin wires

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Abstract
We have examined, using Monte Carlo techniques, the mean free path of electrons in a cylindrical wire. The electrons were allowed to undergo isotropic scattering from impurities, diffuse scattering at the walls of the wire, and both isotropic and anisotropic electron-electron normal scattering. A wide range of impurity and electron-electron free paths were used so that the Knudsen minimum and the transition to Poiseuille flow could be examined. An analytic expression for the electronic free path at very large impurity and electron-electron free paths has been obtained from theoretical considerations. The data are consistent with recent low-temperature measurement on potassium. They can be extended to situations involving other normal scattering processes such as that of phonons in a wire.

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