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Quantum Statistical Second Virial Coefficient for Real Gases and Plasmas
Author(s) -
Ebeling W.,
Kraeft W. D.,
Kremp D.
Publication year - 1970
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.19700100304
Subject(s) - virial coefficient , physics , resolvent , scattering , plasma , virial theorem , binary number , quantum mechanics , mathematical analysis , mathematics , arithmetic , galaxy
Using the resolvent representation of the binary Boltzmann operator the second virial coefficient is expressed by a contour integral over the Jost function of the two‐particle scattering problem. This new formula is useful for many general investigations and also for practical calculations if the Jost functions for the scattering problem are known. As special examples real gases with hard core potentials and fully ionized plasmas with Coulomb interactions are treated. For the plasma case the second virial coefficient is derived without approximations with respect to the interaction parameter. The contribution of the bound states to the free energy is discussed and compared with the effect of ionic association to the classical free energy and the conductivity.