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

M. Agop and Ioana Rusu

Chaos, Solitons & Fractals, 2007, vol. 34, issue 2, 172-186

Abstract: 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 interface 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 ε(∞) 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.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:34:y:2007:i:2:p:172-186

DOI: 10.1016/j.chaos.2006.04.017

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