El Naschie's self-organization of the patterns in a plasma discharge: Experimental and theoretical results

Using the finite differences method it is shown that a diffusion equation can generate but not maintain a double layer (DL). Instead of these, a reaction-diffusion equation system induces a Koch-type fractal which leads to a self-organization scenario of plasma-plasma interface as a DL. Using the scale relativity theory (SRT) it was shown that a plasma-plasma interfa ' cc behaves as a junction of Josephson type: a negative differential resistance is its self-structuring condition, it has memory through hysterezis and work in two oscillation regimes. The correspondence with El Naschie's epsilon((infinity)) space time is achieved, through the generation of the harmonics of Cantorian fractal type, as well as through the separation of the oscillation regimes, i.e. the intermittent self-organization. In the linear regime of oscillation, the plasma-plasma interface works as a string of Cantorian-fractal type (El Naschie's string). The model was verified by means of our experimental data too. (c) 2006 Elsevier Ltd. All rights reserved.