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Author: Eero Hirvijoki
Requested Type: Pre-Selected Invited
Submitted: 2018-02-28 10:56:24

Co-authors: M.Kraus, J.W.Burby

Contact Info:
Princeton Plasma Physics Laboratory
100 Stellarator Rd, Princeton,
Princeton, NJ   08540

Abstract Text:
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.

[1] P.J. Morrison, Physica D: Nonlinear Phenomena 18, 410 (1986).
[2] Y. He, et al., Physics of Plasmas 23, 092108 (2016).
[3] M. Kraus, et al., Journal of Plasma Physics 83, 905830401 (2017)
[4] J.W. Burby, Physics of Plasmas 24, 032101 (2017)
[5] M. Kraus and E. Hirvijoki, Physics of Plasmas 24, 102311 (2017)
[6] E. Hirvijoki, M. Kraus, J.W. Burby, arXiv:1802.05263 (2018)

Computer Simulation of Plasmas.