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https://repositorio.ufba.br/handle/ri/13245
metadata.dc.type: | Artigo de Periódico |
Title: | Fractal properties of equipotentials close to a rough conducting surface |
Other Titles: | Journal of Physics: Condensed Matter |
Authors: | Cajueiro, Daniel Oliveira Sampaio, V. A. de A. Castilho, Caio Mário Castro de Andrade, Roberto Fernandes Silva |
metadata.dc.creator: | Cajueiro, Daniel Oliveira Sampaio, V. A. de A. Castilho, Caio Mário Castro de Andrade, Roberto Fernandes Silva |
Abstract: | The Koch curve is used in the problem of evaluating and characterizing the electric equipotential lines in the infinite semi-space limited by a rough conducting one-dimensional surface. The solution of Laplace’s equation subject to a constant potential difference between the curve and a straight line placed at infinity is performed with the help of Liebmann’s method. The fractal dimension, Df , of the equipotentials is numerically evaluated with a box-counting method. It is found that Df decays exponentially with distance, from the value Df D 1:273 at the Koch curve to the Df D 1:0 when the equipotentials become flat smooth lines. The method does not depend on the specific choice of the Koch curve to model the rough substrate. |
Publisher: | Journal of Physics: Condensed Matter |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/13245 |
Issue Date: | 1999 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
Files in This Item:
File | Description | Size | Format | |
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7777777777777777777777.pdf | 556,01 kB | Adobe PDF | View/Open |
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