- Tytuł:
- Analysis of critical percolation clusters of mixtures of conducting and dielectric polymers
- Autorzy:
- Katunin, A.
- Powiązania:
- https://bibliotekanauki.pl/articles/122371.pdf
- Data publikacji:
- 2016
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
electrical percolation
critical percolation cluster
chemical distance distribution
Minkowski-Bouligand dimension
conducting polymers
przesączania elektryczne
krytyczne przesączenia klastra
chemiczna dystrybucja odległości
wymiar Minkowskiego-Bouliganda
polimery przewodzące - Opis:
- The paper deals with the analysis of critical percolation clusters that have resulted from the numerical simulation of mixtures of various conducting polymers in a dielectric medium. The conducting particles in the electrical percolation problem are modelled following the hard-core/double soft-shell model which considered realistic values of particles dimensions, electrical conductivity and hopping distances. The new formulation of the chemical distance distribution in the percolation clusters is developed and several representative examples using this formulation are presented. In order to verify the fractal nature of the obtained critical percolation clusters the Minkowski-Bouligand dimension formulation was applied. Approximation of obtained results confirms the fractal nature of analysed clusters.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 1; 59-69
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł