Similarity of energy balance between single-surface multipactor and collisional gas discharge

In collisional gas discharge, electrons get energies by the electric field powers, and lose energies by excitation collisions and ionization collisions. Using the balance relation between energy gain and loss, the ionization rate can be estimated even for an extra magnetic field of random direction [1]-[2]. Similarly, in saturated single-surface multipactor, electrons get energies by the electric field powers, and lose energies by electron bombardment. If the secondary process is statistically considered as electron-gas inelastic collision, then the classical formulas for the electric field powers in collisional gas discharge can be directly applied to multipactor, and the surface-normal accumulative electric field and the deposited power in saturated multipactor under an extra magnetic field can also be estimated [3]. The theoretical results are consistent with the results from Particle-In-Cell simulations.