Time‐dependent Boltzmann equation in a self‐sustained discharge XeCl laser: Influence of electron‐electron and superelastic collisions

1990 ◽  
Vol 67 (2) ◽  
pp. 1118-1120 ◽  
Author(s):  
C. Gorse ◽  
M. Capitelli ◽  
A. Dipace
Keyword(s):  
Boltzmann Equation ◽  
Time Dependent ◽  
Xecl Laser ◽  
Sustained Discharge

scholarly journals Boltzmann Equation Theory of Charged Particle Transport in Neutral Gases: Perturbation Treatment

1999 ◽  
Vol 52 (6) ◽  
pp. 999 ◽  
Author(s):  
Slobodan B. Vrhovac ◽  
Zoran Lj. Petrovic
Keyword(s):  
Distribution Function ◽  
Perturbation Theory ◽  
Charged Particle ◽  
Boltzmann Equation ◽  
Particle Transport ◽  
Kinetic Equations ◽  
Initial Distribution ◽  
Formal Structure ◽  
Time Dependent ◽  
Charged Particle Transport

This paper examines the formal structure of the Boltzmann equation (BE) theory of charged particle transport in neutral gases. The initial value problem of the BE is studied by using perturbation theory generalised to non-Hermitian operators. The method developed by R�sibois was generalised in order to be applied for the derivation of the transport coecients of swarms of charged particles in gases. We reveal which intrinsic properties of the operators occurring in the kinetic equation are sucient for the generalised diffusion equation (GDE) and the density gradient expansion to be valid. Explicit expressions for transport coecients from the (asymmetric) eigenvalue problem are also deduced. We demonstrate the equivalence between these microscopic expressions and the hierarchy of kinetic equations. The establishment of the hydrodynamic regime is further analysed by using the time-dependent perturbation theory. We prove that for times t ? τ0 (τ0 is the relaxation time), the one-particle distribution function of swarm particles can be transformed into hydrodynamic form. Introducing time-dependent transport coecients ? *(p) (?q,t), which can be related to various Fourier components of the initial distribution function, we also show that for the long-time limit all ? *(p) (?q,t) become time and ?q independent in the same characteristic time and achieve their hydrodynamic values.

Results of the time-dependent gain with a high-current electron-beam sustained discharge in CO2

1974 ◽  
Vol 10 (1) ◽  
pp. 26-29 ◽  
Author(s):  
H. Ahlstrom ◽  
A. Pindroh ◽  
J. Holzrichter ◽  
T. Kan ◽  
G. Inglesakis ◽  
...  
Keyword(s):  
Electron Beam ◽  
Time Dependent ◽  
High Current ◽  
High Current Electron Beam ◽  
Current Electron ◽  
Sustained Discharge ◽  
High Current Electron

High-power compact XeCl laser pumped by a self-sustained discharge

1987 ◽  
Vol 17 (12) ◽  
pp. 1559-1560 ◽  
Author(s):  
Viktor F Tarasenko ◽  
Aleksei N Panchenko ◽  
S V Mel'chenko ◽  
N S Belokrinitskiĭ ◽  
M P Antonenko ◽  
...  
Keyword(s):  
High Power ◽  
Xecl Laser ◽  
Sustained Discharge

Theoretical analysis of a self‐sustained discharge pumped XeCl laser

1984 ◽  
Vol 56 (3) ◽  
pp. 680-690 ◽  
Author(s):  
Hirokazu Hokazono ◽  
Katsumi Midorikawa ◽  
Minoru Obara ◽  
Tomoo Fujioka
Keyword(s):  
Theoretical Analysis ◽  
Xecl Laser ◽  
Sustained Discharge
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