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Quantenstatistik des Hochtemperatur‐Plasmas im thermodynamischen Gleichgewicht
Author(s) -
Ebeling W.,
Hoffmann H. J.,
Kelbg G.
Publication year - 1967
Publication title -
beiträge aus der plasmaphysik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0005-8025
DOI - 10.1002/ctpp.19670070307
Subject(s) - physics , plasma , quantum mechanics , hamiltonian (control theory) , statistical mechanics , partition function (quantum field theory) , thermodynamics , quantum electrodynamics , mathematical physics , mathematics , mathematical optimization
High temperature plasmas are investigated on the basis of quantum theory. A new method for the calculation of the thermodynamic properties is developed. According to the method of Morita effective potentials are introduced. They permit the evaluation of the partition function with the well‐known formalism of classical statistical mechanics. The first corrections added to Debye's limiting law of the free energy are expressed by the two particle Slater sum S 2 ( r ). A Bloch equation for S 2 ( r ) is derived and is solved in the Fourier representation by a development according to the interaction parameter ζ = e 2 / kTλ , λ being the thermal wavelength. The effects of symmetry are taken into account. The free energy is calculated explicitely up to the order of ζ 2 . In the case of small concentrations our results agrees with that derived by Trubnikow and Elesin. Effects of symmetry neglected, up to the order of ζ 2 the formula of DeWitt is obtained.