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Table 1:

The parameters of two dimensional simulation.
Parameters Symbols Simulation Realistic scale
Number of time steps   4500  
Time step $\Delta t$ 0.01  
Timescale $1/\omega_{\rm pe}$ 0.25 $1.6\times 10^{-5}~{\rm s}$
Number of grid points $N_{x}\times N_{y}$ $128 \times64$  
Grid spacing $\triangle_{x} \triangle_{y}$ 1  
Spatial scale $c/\omega_{\rm pe}$ 25 $4.8\times 10^3~\rm m$
Ambient Number of particles   16  
Beam Number of particles   4  
Ambient electron density n 0.005 $1.24\times 10^6 m^{-3}$
Electron plasma frequency $\omega_{\rm pe}$ 4.0 10 kHz
Electron gyrofrequency $\Omega_{\rm e}$ 0.5  
Electron beam density $n_{\rm b}$ 0.025n  
Electron thermal velocity $v_{\rm the}$ 1 50 eV
Ion thermal velocity $v_{\rm thi}$ 0.005 2.3 eV
Ion mass mi 1836$m_{\rm e}$  
Speed of beam $v_{\rm b}$ 10 5 keV
Speed of light c 100 3 $\times 10^8\;\rm ms^{-1}$

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