CLASSICAL ANALOGUES OF THE RPA OPERATORS AND THE VLASOV EQUATION

1987 ◽  
Vol 48 (C2) ◽  
pp. C2-45-C2-49
Author(s):  
J. DA PROVIDÊNCIA
Keyword(s):  
Vlasov Equation

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.

Spectral convergence of the Hermite basis function solution of the Vlasov equation: The free-streaming term

2006 ◽  
Vol 219 (2) ◽  
pp. 477-488 ◽  
Author(s):  
Livio Gibelli ◽  
Bernie D. Shizgal
Keyword(s):  
Basis Function ◽  
Vlasov Equation ◽  
Function Solution ◽  
Spectral Convergence

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

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

Second invariant for the time-dependent Vlasov equation in one dimension

1987 ◽  
Vol 29 (2) ◽  
pp. 263-265
Author(s):  
B Abraham-Shrauner
Keyword(s):  
Vlasov Equation ◽  
Time Dependent ◽  
One Dimension

Multivalued stochastic McKean-Vlasov equation

2014 ◽  
Vol 34 (6) ◽  
pp. 1731-1740 ◽  
Author(s):  
Hongmei CHI
Keyword(s):  
Vlasov Equation

scholarly journals A generalized Vlasov equation

1989 ◽  
Vol 160 (3) ◽  
pp. 471-481 ◽  
Author(s):  
Ademir E. Santana ◽  
A. Matos Neto ◽  
J.D.M. Vianna
Keyword(s):  
Vlasov Equation
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