The Fractal Dimension of Ionization Cascades in the Glow Discharge

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dc.creatorSmith, Reginald
dc.date2004-10-27
dc.date2005-04-20
dc.date.accessioned2026-07-07T03:01:43Z
dc.date.available2026-07-07T03:01:43Z
dc.descriptionThe glow discharge's main ionization breakdown processes have been understood for about one hundred years. The glow discharge, however, still remains an area of active research in relation to pattern formation and far-from-equilibrium systems. The primary and secondary ionization processes can be mathematically modelled as general branching processes. Not only is the Townsend breakdown criterion obtained but the ionization avalanche can be characterized as a branching set with a unique Hausdorff fractal dimension. These fractal dimensions can be utilized in applications using similarity principles and Paschen's Law.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0410688
dc.identifierhttp://arxiv.org/abs/cond-mat/0410688
dc.identifierJ. Phys. D: Appl. Phys. 38 (2005) 1016-1020
dc.identifierdoi:10.1088/0022-3727/38/7/008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25148
dc.subjectStatistical Mechanics
dc.titleThe Fractal Dimension of Ionization Cascades in the Glow Discharge
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