Abstract

We have predicted Paschen's Law using the speed-limited particle-in-cell (SLPIC) algorithm.[1] This algorithm limits the speed of the fastest electrons in the simulation to enable larger time steps and, therefore, faster computing times. The SLPIC algorithm facilitates a straightforward, fully kinetic treatment of effects, such as secondary emission and collisions. In this application, we simulated the electrical breakdown of an argon-filled capacitor, including electron-impact ionization, electron-neutral elastic collisions, and ion-induced secondary-electron emission. SLPIC provided a two orders of magnitude speed-up over PIC. SLPIC correctly determined the breakdown voltage across 3 orders of magnitude in pressure.

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