An estimation method of fractal dimension of self-avoiding roughened interfaces
Abstract: Two kinds of methods (graphical and statistical) commonly used for the estimation of fractal dimension of self-avoiding interfaces were investigated. It was determined that the current methods of both kinds have significant errors for this type of profiles. In the present work a novel efficient method for the estimation of fractal dimension of self-avoiding curves embedded in the space R 2 based on the Box-count and Hall-Wood estimators is developed. Some physical implications are discussed.
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| Main Authors: | , , , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Sociedad Mexicana de Física
2017
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| Online Access: | http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2017000100012 |
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| Summary: | Abstract: Two kinds of methods (graphical and statistical) commonly used for the estimation of fractal dimension of self-avoiding interfaces were investigated. It was determined that the current methods of both kinds have significant errors for this type of profiles. In the present work a novel efficient method for the estimation of fractal dimension of self-avoiding curves embedded in the space R 2 based on the Box-count and Hall-Wood estimators is developed. Some physical implications are discussed. |
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