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Entropy production and choice of heat flux for degenerate semiconductors and metals
Author(s) -
van Vliet K. M.
Publication year - 1976
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220780227
Subject(s) - entropy production , degenerate energy levels , boltzmann constant , boltzmann equation , heat flux , entropy (arrow of time) , physics , internal energy , h theorem , non equilibrium thermodynamics , energy flux , transport phenomena , statistical physics , boltzmann's entropy formula , flux (metallurgy) , semiconductor , thermodynamics , quantum , quantum mechanics , heat transfer , materials science , maximum entropy thermodynamics , joint quantum entropy , metallurgy
The concept of heat flux in multi‐band solids, having built‐in fields, is definable in various ways, depending on which energies are included in the transport. First the macroscopic entropy balance is examined, though more insight is gained from a microscopic picture. To this purpose the entropy flux and production function are computed for a degenerate nonuniform electron gas from the Boltzmann equation, using the streaming‐vector method, up to first order terms. From this a consistent picture of total energy, internal energy, and entropy transport emerges. The Boltzmann H‐theorem for electron—phonon interaction is also briefly discussed.