Evidence that the Born approximation is unreliable for calculating transport coefficients of liquid metals

Abstract

The validity of the Born approximation formula for the electrical resistivity of a liquid metal has recently been questioned by Greenfield. However, it has been suggested that Greenfield underestimated the volume dependence of the potential. We demonstrate that the influence of the volume dependence of the potential is indeed small, and we thus confirm Greenfield's conclusion that the Born approximation formula fails to give the correct temperature dependence of the resistivity. This failure is shown to occur both for the constant-pressure and for the constant-volume cases.