The Fractal Dimension of Ionization Cascades in the Glow Discharge

Details The Fractal Dimension of Ionization Cascades in the Glow Discharge The Fractal Dimension of Ionization Cascades in the Glow Discharge

2004-10-27

arxiv.org/abs/cond-mat/0410688v3

J. Phys. D: Appl. Phys. 38 (2005) 1016-1020

Physics

Condensed Matter

Statistical Mechanics

5 pages

Scientific paper

10.1088/0022-3727/38/7/008

The 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.

Affiliated with

Also associated with

No associations

Rating

The Fractal Dimension of Ionization Cascades in the Glow Discharge does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Fractal Dimension of Ionization Cascades in the Glow Discharge, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Fractal Dimension of Ionization Cascades in the Glow Discharge will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-341976