Zur näherungsweisen Berechnung der elektrischen Leitfähigkeit eines Plasmas

1973 ◽  
Vol 28 (9) ◽  
pp. 1454-1458
Author(s):  
H. Schirmer ◽  
I. Stober
Keyword(s):  
Electrical Conductivity ◽  
Exact Solution ◽  
Boltzmann Equation ◽  
Approximate Formula ◽  
The Boltzmann Equation

In order to calculate the electrical conductivity of a plasma an approximate formula has been derived which is based on an improvement of the expression corresponding to a Lorentzian gas. The deviation from the exact solution (which is based on the Boltzmann equation of a plasma) is in most cases lower than 5% and will exceed this deviation only in exceptional cases.The calculations have been performed for xenon and neon.

Zur Quantentheorie des elektrischen Restwiderstandes II.

1969 ◽  
Vol 24 (12) ◽  
pp. 1859-1870
Author(s):  
A Rauh
Keyword(s):  
Electrical Conductivity ◽  
Probability Theory ◽  
Boltzmann Equation ◽  
Short Range ◽  
Short Range Order ◽  
Residual Resistivity ◽  
Range Order ◽  
Characteristic Numbers ◽  
The Boltzmann Equation ◽  
Impurity Centers

Abstract The influence of short-range order on the residual resistivity of Cu3Au is investigated within a formalism previously reported. As compared to analogous methods based on the Boltzmann equation, the scattering of electrons by three correlated impurity centers is included. The characteristic numbers needed to describe the short-range order between the three centers can be determined within narrow limits by probability theory, using measured values for the Cowly-parameters. The change of restistivity due to the short-range order is found to be reasonably dealt with by including the two-center correlation only. However, as is further shown, this correlation cannot be taken into account correctly by the Boltzmann equation. For the electrical conductivity of alloys an expression is proposed which is to replace the familiar semiclassical result obtained from the Boltzmann equation.

Fick's First Law Correction by an exact solution of the boltzmann equation

1987 ◽  
Vol 12 (3) ◽  
pp. 105-112 ◽  
Author(s):  
D. Straub ◽  
R. Graue ◽  
F. Heitmeir ◽  
P. Nebendahl ◽  
Th. K. Wurst
Keyword(s):  
Exact Solution ◽  
Boltzmann Equation ◽  
The Boltzmann Equation

The theory of electronic conduction in polar semi-conductors

1953 ◽  
Vol 219 (1136) ◽  
pp. 53-74 ◽  
Keyword(s):  
Electrical Conductivity ◽  
Boltzmann Equation ◽  
Low Temperatures ◽  
Electron Gas ◽  
Electronic Conduction ◽  
Scattering Process ◽  
Thermo Electric ◽  
Conduction Electrons ◽  
The Boltzmann Equation ◽  
Set Up

The Boltzmann equation is set up for the conduction electrons in a crystal in which the scattering is due to the polarization waves of the lattice, and it is pointed out that at low temperatures it is impossible to define a unique time of relaxation for the scattering process. The Boltzmann equation is solved by means of a variational method, and exact expressions for the electrical conductivity and the thermo-electric power are obtained in the form of ratios of infinite determinants. By approximating to the exact solutions, relatively simple expressions are derived which are used to discuss the dependence of the conduction phenomena upon the temperature and upon the degree of degeneracy of the electron gas.

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