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The Classical Binary and Triplet Distribution Functions for Dilute Relativistic Plasma

Read  full  paper  at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=53435#.VMWoQCzQrzE Author(s)   N. A. Hussein 1 , D. A. Eisa 2 , E. G. Sayed 1   Affiliation(s) 1 Mathematics Department, Faculty of Science, Assiut University, Assiut, Egypt . 2 Mathematics Department, Faculty of Science, Assiut University, New Valley, Egypt . ABSTRACT The aim of this paper is to calculate the binary and triplet distribution functions for dilute relativistic plasma in terms of the thermal parameter μ where   , is the mass of charge; c is the speed of light; k is the Boltzmann’s constant; and T is the absolute temperature. Our calculations are based on the relativistic Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy. We obtain classical binary and triplet distribution functions for one- and two-component plasmas. The excess free energy and pressure are represented in the forms of a convergent series expansions in terms of ...