An estimation method of fractal dimension of self-avoiding roughened interfaces

• L. Damian Adame ^[1] ; D. Samayoa Ochoa ^[1] ; A. Kryvko ^[1] ; A. Rodríguez Castellanos ^[1]
  1. [1] Instituto Politecnico Nacional-ESIME Zacatenco
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 63, Nº. 1, 2017, págs. 12-18
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • 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.