MOMENT APPROXIMATION TO THE BOLTZMANN EQUATION FOR A DEGENERATE ELECTRON GAS

MOMENT APPROXIMATION TO THE BOLTZMANN EQUATION FOR A DEGENERATE ELECTRON GAS

The Boltzmann equation has been extensively used to determine transport coefficients for electron-ion interactions in the interior of a metal. The problem of finding a complete set of linearized equations that describe transport phenomena, on a macroscopic level in a metal has appearently not been c...

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Bibliographische Detailangaben
1. Verfasser: Isom, Morris P
Format: Report
Sprache:eng
Schlagworte:
APPROXIMATION(MATHEMATICS)
BOLTZMANN EQUATION
CRYSTAL LATTICES
DIFFUSION
ELECTRON GAS
ELECTRON TRANSITIONS
ELECTRONS
ENERGY
EQUATIONS OF STATE
FUNCTIONS(MATHEMATICS)
GAS FLOW
HEAT TRANSFER
IONS
LOW TEMPERATURE
METALS
MOMENTS
Numerical Mathematics
OPERATORS(MATHEMATICS)
PERTURBATION THEORY
SCATTERING
SORPTION
THERMAL CONDUCTIVITY
Thermodynamics
TIME
TRANSPORT PROPERTIES
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Zusammenfassung:The Boltzmann equation has been extensively used to determine transport coefficients for electron-ion interactions in the interior of a metal. The problem of finding a complete set of linearized equations that describe transport phenomena, on a macroscopic level in a metal has appearently not been considered before. By using a standard form for the electron-ion collision operator, this problem can be approached by adopting methods that have been widely used in deriving the equations of classical gas dynamics from the Boltzmann equation. A linearized transport theory for time dependent problems is developed in this paper. Some rather unusual wave phenomena are implied by the theory. The results appear to be interesting for transport problems in the low temperature range. (Author)