Abstract:
The method of nonequilibrium thermodynamic potentials is used to construct the statistics
of fermion-boson systems ha the case of a fermion-boson coupling that is weak with respect
to the fermions but strong with respect to the bosons. It is shown that the temperature shift
of the fermion energy is equal to the functional derivative of the boson free energy with respect
to the population numbers of the fermion states. The general relations are illustrated
by the statistics of electrons in ferromagnetic semiconductors.
Citation:
A. P. Grigin, È. L. Nagaev, “Application of the method of nonequilibrium thermodynamic potentials to systems of fermions interacting with bosons”, TMF, 18:3 (1974), 393–400; Theoret. and Math. Phys., 18:3 (1974), 281–286
\Bibitem{GriNag74}
\by A.~P.~Grigin, \`E.~L.~Nagaev
\paper Application of the method of nonequilibrium thermodynamic potentials to systems of fermions interacting with bosons
\jour TMF
\yr 1974
\vol 18
\issue 3
\pages 393--400
\mathnet{http://mi.mathnet.ru/tmf3556}
\transl
\jour Theoret. and Math. Phys.
\yr 1974
\vol 18
\issue 3
\pages 281--286
\crossref{https://doi.org/10.1007/BF01035650}
Linking options:
https://www.mathnet.ru/eng/tmf3556
https://www.mathnet.ru/eng/tmf/v18/i3/p393
This publication is cited in the following 2 articles:
E.L. Nagaev, “Self-trapped states of charge carriers in magnetic semiconductors”, Journal of Magnetism and Magnetic Materials, 110:1-2 (1992), 39
T. G. Petrova, “Low-energy localized states in a ferromagnetic semiconductor with magnetic impurities”, Soviet Journal of Low Temperature Physics, 4:11 (1978), 684