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Simulation box. cells: nx*ny=3000*3000; box: 300 micron*300 micron in x*y direction.

Plasma setup.

(i)  inside region $r=\sqrt{x^2+y^2}<50 micron$ (uniform distribution is spatial space): Ar plasma with Z=1 (ion is immobile), effective electron density is $7\times 10^{18}$cm$^{-3}$. 70% of them is hot electron with momentum $p_e=m_ec$ and 30% is cold electron with $p_e=0.01m_ec$ (isotropic distribution in momentum space).

(ii) outside region $r=\sqrt{x^2+y^2}>50 micron$: Ar gas (ion is immobile), the density is same as inside Ar density. We turn on the field ionization model to investigate the ionization wave.

External magnetic field. $B_z$=0, 30, 100 T