Statistics of clusters of ionized regions in the simulation of discharge using the percolation model

Sasaki, Akira; Kato, Susumu*

We calculate sudden formation of complex path of discharges with branching and detouring using the percolation model. The simulation is based on a cell model, the discharge is considered to occur when a connection between the positive and negative electrode by the patches of the ionized regions is established. The model is applied to the calculation of the temporal evolution of discharge in the SF, to reproduce experimental behaviors of the discharge. Before the breakdown occurs, the ionized regions, which are initially produced randomly, grows in space, connects each other, forming clusters of the ionized region. It is shown that the statistics of the clusters, such as the distribution of the size and number of clusters have significant effect to the electric property of the discharge.