Exact solution for the spatially inhomogeneous nonlinear Kac model of the Boltzmann equation

1985 ◽  
Vol 26 (6) ◽  
pp. 1203-1214 ◽  
Author(s):  
Henri Cornille
Keyword(s):  
Exact Solution ◽  
Boltzmann Equation ◽  
Spatially Inhomogeneous ◽  
The Boltzmann Equation ◽  
Kac Model

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

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.

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