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A systematic method for the computation, with arbitrary accuracy, of the thermodynamic functions of a gaseous plasma is developed from first principles. The theory of the grand partition function is used to derive a set of exact integral equations, which determine the electronic and ionic distribution functions. An approximate solution of these equations yields results similar to those of the Debye-Hueckel theory of electrolytes. More exact solutions are developed and used to compute the equation of state and other thermodynamic functions for plasmas.
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H.S. Green (1961) studied this question.
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