A statistical survey to the fluctuations of electric arcs

The purpose of the present paper is a first attempt to the modeling of electric arcs as an alternative method to numerical simulations. We base our approach on two aspects of statistical physics : random walk and Markovian processes. The first approach uses basic concepts of polymer physics to determine a typical length of an arc. The Markovian approach leads to consider an arc as the consequence of the charged particle trajectories composing the plasma, and then to determine an estimate of the arc radius. Correspondences between this statistical survey to fluctuations in electric arcs and the macroscopic studies are also evoked.