Some experimental and theoretical results on the anodic patterns in plasma discharge

Abstract

The dynamics of an interface plasma-plasma self-structured as a double anodic layer using the fractal space-time theory is established. So, for the fractal dimension D=2, the Schrödinger “fluid” is obtained as an irrotational movement of a Navier-Stokes fluid with an imaginary viscosity coefficient. In the deterministic case, the anodic double layer is described by a set of diffusion-reaction equations, a situation in which the equal diffusion curves are of the Koch-type and the self-structuring is given by means of the coherence of the electron-ion pairs. In the nondeterministic case, the anodic double layer is described by a set of time-dependent Schrödinger-type equations and the self-structuring is given by means of the negative differential resistance and the pulsation-potential linear dependence. Through the spontaneous symmetry breaking the Langmuir’s relations, the distributions of the potential field and charge densities have been obtained. The model was verified by means of our experimental data too.