Interaction of non thermal distributed heavy fermion beam with electron-positron-photon plasma: The Fokker-Planck equation

Abstract

Energy loss of a non thermal distributed heavy fermion beam due to the interaction with an electron-positron-photon plasma is investigated. Time evolution of the beam distribution function is calculated by solving the Fokker-Planck equation using the Iterative Laplace Transform Method. All possible interactions between the heavy fermions and plasma constituents up to the first order of coupling constant of interaction are considered in calculations. It is shown that not only the beam and plasma temperatures evolve in time but also the non thermal parameter of the distribution function changes and the distribution of beam particles tends toward a thermal distribution.