On Refining the Criterion for a Single Avalanche-tо-Streamer Transition in Air in Strong Uniform Electric Fields
The article presents the results from mathematical modeling of avalanche-to-streamer transitions in an air discharge gap. The electric field is uniform with the strength E0=50--70 kV/cm, and the atmospheric conditions are standard. The consideration is limited to single avalanche-to-streamer (SATS) transitions. The moment of time corresponding to the plasma streamer channel incipience is taken as the transition moment. As a result of the SATS transition, a two-headed streamer is generated. First, its negative anode-directed head is formed from the avalanche. After that, its positive cathode-directed head emerges from the avalanche track. Behind it, the field strength decreases to a critical value at which effective impact ionization is impossible. The streamer plasma channel occurs earlier, in the negative head incipience process. When it appears, effective ionization still continues between the avalanche and its track. The critical number of electrons in the avalanche, which is determined by the time the channel appears, depends weakly on the E0 value if the avalanche-streamer transition occurs far from the electrodes. In this case, it is about 30 million. If the transition occurs near the electrodes, this number lies in the range from 40 to 50 million particles.