The conductivity of hydrogen in extreme conditions

Abstract

We consider the electroresistivity of metallic hydrogen within the framework of perturbation theory in electron-proton interaction. To this end we employ the Kubo linear response theory while using the two-time retarded Green functions method to calculate the relaxation time. The expressions for the second and third order contributions are calculated, which serve as a basis for the estimation of the sum of the series. To describe the electron subsystem the random phase approximation is used at that the exchange interactions and correlations are taken into account in a local field approximation. The structure of the proton subsystem is assumed to be determined by the Percus-Yevick equation with the effective hard sphere diameter being the only parameter of the theory in this case. The effective pair proton interaction is used to identify the effective hard sphere diameter as a function of the temperature and the density of the system. The behavior of the second and the third order contributions is investigated in a wide range of the temperature and the temperature. In the whole range the values of the parameters of the theory are closed to those indicating the limits of nearly free model applicability.