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On the Influence of the Pauli Exclusion Principle on the Transport Properties of Dense Coulomb Systems
Author(s) -
Schmidt M.,
Janke Th.,
Redmer R.
Publication year - 1989
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.2150290413
Subject(s) - pauli exclusion principle , physics , scattering , degenerate energy levels , condensed matter physics , electron , electrical resistivity and conductivity , quantum mechanics , degeneracy (biology) , bioinformatics , biology
Within a model calculation the influence of the Pauli exclusion principle on the electrical conductivity of a fully ionized and degenerate hydrogen plasma is investigated. Basing on a quantum kinetic equation solved with the relaxation time ansatz, the electron — ion contribution to the resistivity is calculated. The thermodynamical T‐matrix for electron — ion scattering processes is evaluated under special account for the Pauli blocking of the intermediate scattering states. The corresponding Bethe — Salpeter equation is solved analytically using a separable approximation of the statically screened potential. The Pauli exclusion principle has been found to give rise for a considerable enhancement of the transport cross section near the Fermi energy. Thus, degeneracy effects tend to diminish the electrical conductivity in the density — temperature region considered here.