Modeling of High-Gradient Vacuum Breakdown
  Comsol finite element technique was applied to study heating and cooling of a microspot on the cathode surface. The reasons why there seems to be no common model for vacuum arcs, in spite of the importance of this field and the level of effort expended over more than one hundred years, were explored. 
A. Ainabayev, B. Berdenova, J. Norem, Z. Insepov
physics.comp-ph physics.plasm-ph