Power laws and self-similar behaviour in negative ionization fronts

Manuel Arrayás, Marco A Fontelos, José L Trueba
2006 Journal of Physics A: Mathematical and General  
We study anode-directed ionization fronts in curved geometries. When the magnetic effects can be neglected, an electric shielding factor determines the behavior of the electric field and the charged particle densities. From a minimal streamer model, a Burgers type equation which governs the dynamics of the electric shielding factor is obtained. A Lagrangian formulation is then derived to analyze the ionization fronts. Power laws for the velocity and the amplitude of streamer fronts are observed
more » ... numerically and calculated analytically by using the shielding factor formulation. The phenomenon of geometrical diffusion is explained and clarified, and a universal self-similar asymptotic behavior is derived.
doi:10.1088/0305-4470/39/23/026 fatcat:z65n75z4q5cu5hspablucw3vu4