Determining the Degree of Separation for Multiple Fractal Discharge Breakdowns in Dielectric Media Under Various Charge Distributions
This paper assesses the charge separation and intermingling from a double-discharge dielectric breakdown. Simulations of breakdowns are performed using the discrete Poisson's equation under various specified charge distributions. The degree of separation between the two breakdown paths is assessed and a measure of energy potentially storable in the system was calculated in relation to a baseline energy of simple dielectric storage. Some of the simulations showed energies that were more than 5 times the baseline energy. The effects of different charge distributions are noted, and compared to each other and the different properties of multiple discharge are discussed.
P. P. Budenstein, "On the Mechanism of Dielectric Breakdown of Solids," in IEEE Transactions on Electrical Insulation, vol. EI-15, no. 3, pp. 225-240, June 1980.
Avdiaj, Sefer & Šetina, Janez. (2010). "Numerical Solving of Poisson Equation in 3D Using Finite Difference Method". Journal of Engineering and Applied Sciences. 5. 14-18. 10.3923/jeasci.2010.14.18.
P. P. Budenstein, "Dielectric Breakdown in Solids", PN (1974)
D. J. Griffiths, "Introduction to Electrodynamics", (4th Edition) Pearson 1974
S. Chapra "Numerical Methods for Engineers", (6th Edition) McGraw-Hill (2009)
L. Pietronero, A. Erzan, C. Evertsz, "Theory of Laplacian fractals: Diffusion limited aggregation and dielectric breakdown model", In Physica A: Statistical Mechanics and its Applications, Volume 151, Issues 2–3, 1988, Pages 207-245, ISSN 0378-4371, https://doi.org/10.1016/0378-4371(88)90014-3.
T. Vicsek "Pattern Formation in Diffusion-Limited Aggregation", Phys. Rev. Lett. 53, 2281 (1984)
T. A. Witten, L. M. Sander "Diffusion-limited aggregation", Phys. Rev. B 27, 5686 (1983)
H. J. Wiesmann and H. R. Zeller "A fractal model of dielectric breakdown and prebreakdown in solid dielectrics", Journal of Applied Physics 60, 1770 (1986)
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