Causal Kinetic Equation of Nonequilibrium Plasmas
Treumann, R. A., and W. Baumjohann (2017),
Causal Kinetic Equation of Nonequilibrium Plasmas,
Ann. Geophys., 35(arXiv:1704.01527 [physics.spaceph]), 683690, doi:10.5194/angeo356832017, Extension of kinetic theory to include causality.
 Abstract
 Statistical plasma theory far from thermal equilibrium is subject to Liouville's equation which is at the base of the BBGKY hierarchical approach to plasma kinetic theory from which in the absence of collisions Vlasov's equation follows. It is also at the base of Klimontovich's approach which includes single particle effects like spontaneous emission. All these theories have been applied to plasmas with admirable success even though they suffer from a fundamental omission in their use of the electrodynamic equations in the description of the highly dynamic interactions in manyparticle particle conglomerations. In the following we extend this theory to taking into account that the interaction between particles separated from each other at a distance requires the transport of information. Action needs to be transported and thus in the spirit of the directinteraction theory as developed by Wheeler and Feynman (1945) requires time. This is done by reference to the retarded potentials. We derive the fundamental Liouville equation for the phase space density of a system composed of a very large number of charged particles. Applying the approach of Klimontovich (1967) we obtain the retarded time evolution equation of the oneparticle distribution function in plasmas which replaces Klimontovich's equation in cases when the directinteraction effects have to be taken into account. This becomes important in all systems where the distance between two points ∆ q ~ ct is comparable to the product of observation time and light velocity, which is typical in cosmic physics and astrophysics.
 Further information

 BibTeX

@article{id2236,
author = {R. A. Treumann and W. Baumjohann},
journal = {Ann. Geophys.},
month = {apr},
note = {Extension of kinetic theory to include causality},
number = {arXiv:1704.01527 [physics.spaceph]},
pages = {683690},
title = {{Causal Kinetic Equation of Nonequilibrium Plasmas}},
volume = {35},
year = {2017},
url = {http://www.anngeophys.net/35/683/2017/},
doi = {10.5194/angeo356832017},
}
 EndNote

%0 Journal Article
%A Treumann, R. A.
%A Baumjohann, W.
%D 2017
%N arXiv:1704.01527 [physics.spaceph]
%V 35
%J Ann. Geophys.
%P 683690
%Z Extension of kinetic theory to include causality
%T Causal Kinetic Equation of Nonequilibrium Plasmas
%U http://www.anngeophys.net/35/683/2017/
%U https://arxiv.org/abs/1704.01527
%8 apr