A quantum kinetic theory of moderately dense gases. I. Wigner triplet distribution function

1975 ◽  
Vol 62 (3) ◽  
pp. 903-912 ◽  
Author(s):  
R. D. Olmsted ◽  
C. F. Curtiss
Keyword(s):  
Distribution Function ◽  
Kinetic Theory ◽  
Quantum Kinetic Theory ◽  
Dense Gases

Historical Background

2018 ◽  
Author(s):  
Klaus Morawetz
Keyword(s):  
Steady State ◽  
Kinetic Theory ◽  
Time Evolution ◽  
Historical Development ◽  
Historical Background ◽  
Quantum Kinetic Theory ◽  
Dense Gases ◽  
Nonequilibrium Phenomena ◽  
Quantum Liquids ◽  
Nonlocal Quantum

The historical development of kinetic theory is reviewed with respect to the inclusion of virial corrections. Here the theory of dense gases differs from quantum liquids. While the first one leads to Enskog-type of corrections to the kinetic theory, the latter ones are described by quasiparticle concepts of Landau-type theories. A unifying kinetic theory is envisaged by the nonlocal quantum kinetic theory. Nonequilibrium phenomena are the essential processes which occur in nature. Any evolution is built up of involved causal networks which may render a new state of quality in the course of time evolution. The steady state or equilibrium is rather the exception in nature, if not a theoretical abstraction at all.

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.

scholarly journals Quantum kinetic theory. II. Simulation of the quantum Boltzmann master equation

1997 ◽  
Vol 56 (1) ◽  
pp. 575-586 ◽  
Author(s):  
D. Jaksch ◽  
C. W. Gardiner ◽  
P. Zoller
Keyword(s):  
Kinetic Theory ◽  
Master Equation ◽  
Quantum Kinetic Theory

Kinetic theory of dense gases in the approximation of triplet interactions

1984 ◽  
Vol 19 (1) ◽  
pp. 125-129
Author(s):  
F. B. Baimbetov ◽  
N. B. Shaltykov
Keyword(s):  
Kinetic Theory ◽  
Dense Gases
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