# Accession Number:

## AD0483312

# Title:

## MOMENT APPROXIMATION TO THE BOLTZMANN EQUATION FOR A DEGENERATE ELECTRON GAS,

# Descriptive Note:

# Corporate Author:

## PRINCETON UNIV NJ GAS DYNAMICS LAB

# Personal Author(s):

# Report Date:

## 1966-01-01

# Pagination or Media Count:

## 68.0

# Abstract:

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

# Descriptors:

- *APPROXIMATION(MATHEMATICS)
- *METALS
- HEAT TRANSFER
- ENERGY
- MOMENTS
- EQUATIONS OF STATE
- FUNCTIONS(MATHEMATICS)
- IONS
- ELECTRONS
- TRANSPORT PROPERTIES
- THERMAL CONDUCTIVITY
- LOW TEMPERATURE
- GAS FLOW
- TIME
- SORPTION
- DIFFUSION
- SCATTERING
- OPERATORS(MATHEMATICS)
- PERTURBATION THEORY
- ELECTRON TRANSITIONS
- CRYSTAL LATTICES

# Subject Categories:

- Numerical Mathematics
- Thermodynamics