Rescaling of pressure equilibrium model of magnetically insulated transmission lines based on flow electron collisional theory

Because of the electron emission, an electron sheath will appear near the cathode surface of the magnetically insulated transmission line (MITL). When the MITL comes to be stable, the sheath will reach pressure equilibrium. Based on the collisions in the electron sheath, the pressure equilibrium model is rescaled to match particle-in-cell(PIC) simulation results, providing a more accurate function of voltage, anode and cathode currents. And the peak error between theoretical and simulation results decreases from 9% to 3% in the saturated flow state. The parameter α is fitted as a function of the working voltage, which is in effect when the working voltage ranges from 2 to 7 MV with the idealized MITL.