Occupation numbers for reacting plasmas - The role of the Planck-Larkin partition function

Details Occupation numbers for reacting plasmas - The role of the Planck-Larkin partition function Occupation numbers for reacting plasmas - The role of the Planck-Larkin partition function

Nov 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986apj...310..723r&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 310, Nov. 15, 1986, p. 723-728.

Statistics

Computation

142

Computational Astrophysics, Cosmic Plasma, Equations Of State, Plasma Chemistry, Coulomb Potential, Hydrogen, Partitions (Mathematics), Solar Atmosphere

Scientific paper

The physical basis of the Planck-Larkin partition function in equation of state (EOS) and occupation number calculations is examined. It is shown that a many-body activity expansion of the grand cannonical partition function in terms of effective composite particle activities, defined through Planck-Larkin (PL) bound state weight factors, has advantages over an activity expansion in terms of real activities defined through Boltzmann weight factors. The PL effective activity expansion gives the EOS and the real electron and nucleus activities (chemical potentials). Calculation of the EOS does not require a knowledge of actual occupation numbers, but calculation of radiative properties does. In view of this distinction, a complementary Boltzmann activity expansion is presented solely for the purpose of calculating occupation numbers. It is shown that the occupation number relations derived from this expansion can be directly evaluated using the electron and nucleus activities obtained in the EOS calculation.

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