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The Classical Binary and Triplet Distribution Functions for Dilute Relativistic Plasma
Mathematics Department, Faculty of Science, Assiut University, Assiut, Egypt
Mathematics Department, Faculty of Science, Assiut University, New Valley, Egypt
Mathematics Department, Faculty of Science, Assiut University, Assiut, Egypt
- 1 Mathematics Department, Faculty of Science, Assiut University, Assiut, Egypt
- 2 Mathematics Department, Faculty of Science, Assiut University, New Valley, Egypt
- 3 Mathematics Department, Faculty of Science, Assiut University, Assiut, Egypt
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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 the thermal parameter μ .
KeywordsRelativistic PlasmaBinary and Triplet Distribution FunctionsBBGKY Hierarchy
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