scholarly journals Asymptotically Stable Particle-In-Cell Methods for the Vlasov--Poisson System with a Strong External Magnetic Field

2016 ◽  
Vol 54 (2) ◽  
pp. 1120-1146 ◽  
Author(s):  
Francis Filbet ◽  
Luis Miguel Rodrigues
2019 ◽  
Vol 37 (2) ◽  
pp. 217-222 ◽  
Author(s):  
H. Cheng ◽  
L. H. Cao ◽  
J. X. Gong ◽  
R. Xie ◽  
C. Y. Zheng ◽  
...  

AbstractTwo-dimensional particle-in-cell (PIC) simulations have been used to investigate the interaction between a laser pulse and a foil exposed to an external strong longitudinal magnetic field. Compared with that in the absence of the external magnetic field, the divergence of proton with the magnetic field in radiation pressure acceleration (RPA) regimes has improved remarkably due to the restriction of the electron transverse expansion. During the RPA process, the foil develops into a typical bubble-like shape resulting from the combined action of transversal ponderomotive force and instabilities. However, the foil prefers to be in a cone-like shape by using the magnetic field. The dependence of proton divergence on the strength of magnetic field has been studied, and an optimal magnetic field of nearly 60 kT is achieved in these simulations.


2016 ◽  
Vol 53 ◽  
pp. 177-190 ◽  
Author(s):  
Edwin Chacon-Golcher ◽  
Sever A. Hirstoaga ◽  
Mathieu Lutz

2019 ◽  
Vol 484 (6) ◽  
pp. 663-666
Author(s):  
Yu. O. Belyaeva ◽  
A. L. Skubachevskii

The first mixed problem for the Vlasov-Poisson system in an infinite cylinder is considered. This problem describes the kinetics of charged particles in a high-temperature two-component plasma under an external magnetic field. For an arbitrary electric field potential and a sufficiently strong external magnetic field, it is shown that the characteristics of the Vlasov equations do not reach the boundary of the cylinder. It is proved that the Vlasov-Poisson system with ion and electron distribution density functions supported at some distance from the cylinder boundary has a unique classical solution.


1994 ◽  
Vol 12 (1) ◽  
pp. 13-16
Author(s):  
T. Okada ◽  
H. Tazawa

For inertial confinement fusion (ICF), a focused light ion beam (LIB) is required to propagate stably through a chamber to a target. It is pointed out that the applied external magnetic field is important for LIB propagation. To investigate the influence of the external magnetic field on the LIB propagation, the electrostatic dispersion relation of the magnetized light ion beam-plasma system was analyzed. The particle in-cell (PIC) simulation results are presented for a light ion beam-plasma system with an external magnetic field.


Physics Open ◽  
2020 ◽  
Vol 3 ◽  
pp. 100015
Author(s):  
Tusharika S. Banerjee ◽  
Ayush Saxena ◽  
Arti Hadap ◽  
K.T.V. Reddy ◽  
Amitava Roy

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