Determination of the generalized potentials in the modified moment method for the Boltzmann equation

1994 ◽  
Vol 202 (1-2) ◽  
pp. 321-341 ◽  
Author(s):  
Byung Chan Eu ◽  
Young Gie Ohr
Keyword(s):  
Boltzmann Equation ◽  
Moment Method ◽  
The Boltzmann Equation

A note on Mott-Smith's solution of the Boltzmann equation for a shock wave

1957 ◽  
Vol 3 (3) ◽  
pp. 255-260 ◽  
Author(s):  
Akira Sakurai
Keyword(s):  
Shock Wave ◽  
Boltzmann Equation ◽  
Mach Number ◽  
Interpolation Formula ◽  
Velocity Space ◽  
Unique Determination ◽  
Finite Region ◽  
Wave Problem ◽  
The Boltzmann Equation

After a Modification, the interpolation formula of Mott-Smith (1951) for the shock wave problem is found to be a solution of the Boltzmann equation at large Mach number in a finite region of molecular velocity space. This modification gives a unique determination of the shock wave thickness, removing the ambiguity for this in Mott-Smith's formula.

scholarly journals The determination of low energy electron-molecule cross sections via swarm analysis

2008 ◽  
Vol 6 (1) ◽  
pp. 57-69 ◽  
Author(s):  
S. Dujko ◽  
R.D. White ◽  
Z.Lj. Petrovic
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Boltzmann Equation ◽  
Electron Transport ◽  
Cross Sections ◽  
Low Energy ◽  
Energy Electron ◽  
The Boltzmann Equation ◽  
Low Energy Electron

In this paper we discuss the swarm physics based techniques including the Boltzmann equation analysis and Monte Carlo simulation technique for determination of low energy electron-molecule cross sections. A multi term theory for solving the Boltzmann equation and Monte Carlo simulation code have been developed and used to investigate some critical aspects of electron transport in neutral gases under the varying configurations of electric and magnetic fields when non-conservative collisions are operative. These aspects include the validity of the two term approximation and the Legendre polynomial expansion procedure for solving the Boltzmann equation, treatment of non-conservative collisions, the effects of a magnetic field on the electron transport and nature and difference between transport data obtained under various experimental arrangements. It was found that these issues must be carefully considered before unfolding the cross sections from swarms transport data.

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