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Density Expansions of the Reduced Distribution Functions and the Excess Free Energy for Plasma with Coulomb and Short‐Range Interactions
Author(s) -
Kahlbaum T.
Publication year - 1999
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/ctpp.2150390144
Subject(s) - helmholtz free energy , coulomb , range (aeronautics) , physics , hierarchy , cluster expansion , plasma , representation (politics) , statistical physics , distribution (mathematics) , energy (signal processing) , cluster (spacecraft) , distribution function , component (thermodynamics) , quantum electrodynamics , quantum mechanics , mathematical analysis , materials science , mathematics , electron , politics , political science , economics , computer science , law , market economy , composite material , programming language
The equilibrium properties of a multi‐component plasma of charged particles that interact through the Coulomb potential and general short‐range potentials are investigated at low density within the framework of classical statistics. In particular, this article presents density expansions of (1) the reduced distribution functions for two and more particles up to second order as obtained from the screened Bogoliubov‐Born‐Green‐Kirkwood‐Yvon hierarchy and (2) the interaction contribution to the Helmholtz free energy including a new closed representation of the fourth cluster integral derived with the help of a usual charging procedure.