The physics of "vacuum" breakdown

The initial plasma formation on the surface of a cathode of a vacuum diode, vacuum arc, and many other discharges is highly non-uniform. Micron-sized cathode spots form within nanoseconds. Despite the fundamental importance of cathode spots for the breakdown process, their structure, and the source of the required high energy density were not well understood. When an increasing voltage is applied, enhanced field emission of electrons begins from a growing number of small spots or whiskers. This and the impact of ions stimulate desorption of weakly bound adsorbates from the surface of a whisker. The cross section for ionization of the neutrals has a maximum for ~ 100 eV electrons. As the diode voltage increases, the 100 V equipotential surface which moves towards the cathode is met by the desorbed neutrals moving away from the cathode. These two regions proceed from no overlap to a significant amount of overlap on a nanosecond time scale. This results in the sharp risetime for the onset of ionization. Ions produced in the ionization region, a few μm from the electron emitting spot are accelerated back. This bombardment with ~ 100 eV ions leads to surface heating of the spot. Since the ion energy is deposited only within a few atomic layers at a time instead of an entire whisker volume, and since the neutral contaminants are only loosely bound to the surface, the onset of breakdown by this mechanism requires much less current than the joule heating mechanism. Ion surface heating is initially orders of magnitude larger than joule heating. As more ions are produced, a positive space charge layer forms which enhances the electric field and thus strongly enhances the field emitted electron current. The localized build-up of plasma above the electron emitting spot then naturally leads to pressure and electric field distributions which ignite unipolar arcs. The high current density of the unipolar arc and the associated surface heating by ions provide the "explosive" formation of a cathode spot plasma.