The Vlasov equation and the description of inverse bremsstrahlung

1984 ◽  
Vol 27 (3) ◽  
pp. 675 ◽  
Author(s):  
S. H. Kim
Keyword(s):  
Vlasov Equation ◽  
Inverse Bremsstrahlung

Kinetic theory

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Distribution Function ◽  
Kinetic Theory ◽  
Liouville Equation ◽  
Vlasov Equation ◽  
Particle Distribution ◽  
Equations Of Motion ◽  
Poisson Brackets ◽  
Hamiltonian Form ◽  
First Order ◽  
Number Of Particles

This chapter covers the equations governing the evolution of particle distribution and relates the macroscopic thermodynamical quantities to the distribution function. The motion of N particles is governed by 6N equations of motion of first order in time, written in either Hamiltonian form or in terms of Poisson brackets. Thus, as this chapter shows, as the number of particles grows it becomes necessary to resort to a statistical description. The chapter first introduces the Liouville equation, which states the conservation of the probability density, before turning to the Boltzmann–Vlasov equation. Finally, it discusses the Jeans equations, which are the equations obtained by taking various averages over velocities.

The Vlasov Equation with Infinite Mass

2001 ◽  
Vol 159 (2) ◽  
pp. 85-108 ◽  
Author(s):  
E. Caglioti ◽  
S. Caprino ◽  
C. Marchioro ◽  
M. Pulvirenti
Keyword(s):  
Vlasov Equation ◽  
Infinite Mass

Space-charge effects on nonlinear amplification of inverse bremsstrahlung electron acceleration

1994 ◽  
Vol 49 (6) ◽  
pp. R4807-R4810 ◽  
Author(s):  
R. M. O. Galvão ◽  
M. S. Hussein ◽  
M. P. Pato ◽  
A. Serbeto
Keyword(s):  
Space Charge ◽  
Electron Acceleration ◽  
Space Charge Effects ◽  
Charge Effects ◽  
Inverse Bremsstrahlung ◽  
Nonlinear Amplification
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