Simulation of Electron Beam Emission in Argon–Neon Mixture Pinch Using the Nonrelativistic 6-D Valsov–Maxwell System Solved by the Forward Semi-Lagrangian Approach

The 6-D Vlasov-Maxwell equations in the cylindrical coordinates have been solved to calculate the electron beam emission from mixtures of argon and neon. The forward semi-Lagrangian approach was used for solutions. The simulation of the electron velocity field has shown that at the early stage of the pinch evolution of a 4-mbar 90% Ar-10% Ne mixture, the sausage instabilities began to develop from the top parts of the pinch due to bigger B
_θ
with respect to B
_z
. In the turbulence regions, the electrons could accelerate up to speeds of 905 ×10
⁵
and 2387.5 ×10
⁵
m/s at 90.9 and 181.82 ns, respectively. It has been observed that in the high turbulence region, E
_z
=-2.04×10
⁷
V/m, while in the weak turbulence region, E
_z
=-1.46×10
⁷
V/m. Increasing the neon percentage in the mixture changed the turbulence regions and the upstream and downstream emissions.