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

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  • Agop, M.
  • Rusu, Ioana

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.

Suggested Citation

  • Agop, M. & Rusu, Ioana, 2007. "El Naschie’s self-organization of the patterns in a plasma discharge: Experimental and theoretical results," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 172-186.
  • Handle: RePEc:eee:chsofr:v:34:y:2007:i:2:p:172-186
    DOI: 10.1016/j.chaos.2006.04.017
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    1. El Naschie, M.S., 2006. "Hilbert, Fock and Cantorian spaces in the quantum two-slit gedanken experiment," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 39-42.
    2. Agop, M. & Vasilica, M., 2006. "El Naschie’s supergravity by means of the gravitational instantons synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 318-323.
    3. El Naschie, M.S., 2005. "From experimental quantum optics to quantum gravity via a fuzzy Kähler manifold," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 969-977.
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