The mathematical justification of the Bohm criterion in plasma physics

Author(s):  
Shinya Nishibata ◽  
Masashi Ohnawa ◽  
Masahiro Suzuki
1979 ◽  
Vol 40 (C7) ◽  
pp. C7-875-C7-876
Author(s):  
V. I. Averin ◽  
O. M. Brekhov ◽  
B. S. Gorbenko ◽  
A. F. Klepov ◽  
G. V. Kolesov ◽  
...  

1982 ◽  
Vol 138 (11) ◽  
pp. 361 ◽  
Author(s):  
Vladimir E. Fortov

Author(s):  
Kenichi Nishikawa ◽  
Ioana Duţan ◽  
Christoph Köhn ◽  
Yosuke Mizuno

AbstractThe Particle-In-Cell (PIC) method has been developed by Oscar Buneman, Charles Birdsall, Roger W. Hockney, and John Dawson in the 1950s and, with the advances of computing power, has been further developed for several fields such as astrophysical, magnetospheric as well as solar plasmas and recently also for atmospheric and laser-plasma physics. Currently more than 15 semi-public PIC codes are available which we discuss in this review. Its applications have grown extensively with increasing computing power available on high performance computing facilities around the world. These systems allow the study of various topics of astrophysical plasmas, such as magnetic reconnection, pulsars and black hole magnetosphere, non-relativistic and relativistic shocks, relativistic jets, and laser-plasma physics. We review a plethora of astrophysical phenomena such as relativistic jets, instabilities, magnetic reconnection, pulsars, as well as PIC simulations of laser-plasma physics (until 2021) emphasizing the physics involved in the simulations. Finally, we give an outlook of the future simulations of jets associated to neutron stars, black holes and their merging and discuss the future of PIC simulations in the light of petascale and exascale computing.


2021 ◽  
Vol 87 (2) ◽  
Author(s):  
Yuanfan Wang ◽  
Dhairya Malhotra ◽  
Antoine J. Cerfon

In an early study of the properties and capabilities of the multiregion, relaxed magnetohydrodynamic model, Hole, Hudson & Dewar claim that they are able to construct a multiregion stepped pressure cylindrical equilibrium which does not require the existence of surface currents. We present a brief argument showing that this claim is incorrect, and clarify the meaning of their statement. Furthermore, even with the statement clarified, we demonstrate that it is not possible to find solutions to reproduce the equilibrium corresponding to the parameters given in the article. We invite the authors to provide a corrigendum with the correct values of the equilibrium they constructed.


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