Author: Eero Hirvijoki
Requested Type: Pre-Selected Invited
Submitted: 2018-02-28 10:56:24
Co-authors: M.Kraus, J.W.Burby
Princeton Plasma Physics Laboratory
100 Stellarator Rd, Princeton,
Princeton, NJ 08540
The Vlasov-Maxwell-Landau system of equations constitutes the back bone for kinetic simulations of plasmas. The system describes a mean-field theory with charge, momentum, and energy conservation laws, and exhibits entropy production via collisional relaxation processes. While mean-field theories in general are infinite dimensional, any computer simulation has to approximate the mean-fields with finite-dimensional substitutes. To correctly reproduce physics, this conversion process should respect the properties of the Vlasov-Maxwell-Landau system: charge, momentum, and energy should be conserved and entropy produced also in the discrete approximation. We report on recent progress in this field, providing a finite-dimensional Vlasov-Maxwell-Landau system that reproduces the properties of its inifinte-dimensional counterpart algebraically. The conversion is accomplished via discretization of the underlying, so-called metriplectic structure of the Vlasov-Maxwell-Landau system, using a macroparticle approach. For an introduction, please consult the references below.
 P.J. Morrison, Physica D: Nonlinear Phenomena 18, 410 (1986).
 Y. He, et al., Physics of Plasmas 23, 092108 (2016).
 M. Kraus, et al., Journal of Plasma Physics 83, 905830401 (2017)
 J.W. Burby, Physics of Plasmas 24, 032101 (2017)
 M. Kraus and E. Hirvijoki, Physics of Plasmas 24, 102311 (2017)
 E. Hirvijoki, M. Kraus, J.W. Burby, arXiv:1802.05263 (2018)
Computer Simulation of Plasmas.