Annales Geophysicae
Annales Geophysicae
ANGEO
Articles | Volume 35, issue 3
Articles | Volume 35, issue 3
https://doi.org/10.5194/angeo-35-683-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/angeo-35-683-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
Articles | Volume 35, issue 3
ANGEO Communicates
 | 
24 May 2017
ANGEO Communicates |  | 24 May 2017

Causal kinetic equation of non-equilibrium plasmas

Rudolf A. Treumann and Wolfgang Baumjohann

Related authors

Electron pairing in mirror modes: surpassing the quasi-linear limit
Rudolf A. Treumann and Wolfgang Baumjohann
Ann. Geophys., 37, 971–988, https://doi.org/10.5194/angeo-37-971-2019,https://doi.org/10.5194/angeo-37-971-2019, 2019
Short summary
Scaling laws in Hall inertial-range turbulence
Yasuhito Narita, Wolfgang Baumjohann, and Rudolf A. Treumann
Ann. Geophys., 37, 825–834, https://doi.org/10.5194/angeo-37-825-2019,https://doi.org/10.5194/angeo-37-825-2019, 2019
Short summary
On the ion-inertial-range density-power spectra in solar wind turbulence
Rudolf A. Treumann, Wolfgang Baumjohann, and Yasuhito Narita
Ann. Geophys., 37, 183–199, https://doi.org/10.5194/angeo-37-183-2019,https://doi.org/10.5194/angeo-37-183-2019, 2019
Short summary
Electron mirror branch: observational evidence from “historical” AMPTE-IRM and Equator-S measurements
Rudolf A. Treumann and Wolfgang Baumjohann
Ann. Geophys., 36, 1563–1576, https://doi.org/10.5194/angeo-36-1563-2018,https://doi.org/10.5194/angeo-36-1563-2018, 2018
Short summary
The mirror mode: a “superconducting” space plasma analogue
Rudolf A. Treumann and Wolfgang Baumjohann
Ann. Geophys., 36, 1015–1026, https://doi.org/10.5194/angeo-36-1015-2018,https://doi.org/10.5194/angeo-36-1015-2018, 2018
Short summary
More articles (9)
Download
Short summary
We extend the Klimontovich (1967) formulation of kinetic theory of the evolution of the microscopic phase space density to taking into account that the interaction between particles separated from each other at a distance is not instantaneous but requires the transport of information. This is done by reference to the retarded potentials. We derive the fundamental causal Liouville equation for the phase space density of a system composed of a very large number of charged particles.
Read more