A classical description of the electrons in plasma

Abstract

In this work, we calculated the effective potential of an electron in a plasma. This potential, which is obtained by solving a non-linear integral equation, is a sum of three contributions: the first is the interaction energy between the electron plasma and a test charge regarded as an impurity. We have taken this interaction equal to screened "Kelbg". The second is the Coulomb interaction energy between the electron in question and the other electrons plasma, that we calculate using a Maxwell-Boltzmann distribution. The third is Coulomb interaction energy between the electron and ions plasma uniformly distributed. The effective potential, is obtained, in the first stage, we have calculated the distribution of electric microfield created by the electrons on the impurity. In the second stage we calculated the time autocorrelation function of the electric microfield. The results are compared with those given by molecular dynamics simulation.