scholarly journals Quantum Vlasov equation and its Markov limit

1998 ◽  
Vol 58 (12) ◽  
Author(s):  
Yuval Kluger ◽  
Emil Mottola ◽  
Judah M. Eisenberg
Keyword(s):  
Vlasov Equation ◽  
Quantum Vlasov Equation ◽  
Markov Limit

scholarly journals Derivation of the Quantum Vlasov Equation and Dispersion Relation of a Relativistic Electron Gas

1967 ◽  
Vol 22 (6) ◽  
pp. 869-872 ◽  
Author(s):  
D. BlSkamp
Keyword(s):  
Dispersion Relation ◽  
Relativistic Electron ◽  
Vlasov Equation ◽  
Thermal Equilibrium ◽  
Electron Gas ◽  
Quasi Equilibrium ◽  
Electron Positron ◽  
The One ◽  
Special Case ◽  
Quantum Vlasov Equation

The selfconsistent field equation (VLASOV equation) is derived for the one-particle WIGNER function of a relativistic electron-positron gas. From the linearized form we obtain the dispersion relation for any quasi-equilibrium state, which for the special case of thermal equilibrium has already been derived by TSYTOVICH 1.

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
Sign in / Sign up

Export Citation Format

Share Document