Is the Alexander–Orbach Conjecture Suitable for Treating Diffusion in Correlated Percolation Clusters?
| Autor: | Ommar Cruz, Ricardo Hidalgo, Salomón Alas, Salomón Cordero, Laura Meraz, Raúl Lopez, Armando Dominguez |
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| Jazyk: | angličtina |
| Rok vydání: | 2011 |
| Předmět: | |
| Zdroj: | Adsorption Science & Technology, Vol 29 (2011) |
| Druh dokumentu: | article |
| ISSN: | 0263-6174 2048-4038 |
| DOI: | 10.1260/0263-6174.29.7.663 |
| Popis: | How does a particle diffuse inside a percolation cluster? This question is of both scientific and practical importance, e.g. in drug-controlled release and vapour adsorption. Diffusion in fractal media is characterized by the fracton dimension, d s . The Alexander and Orbach conjecture indicates that d s = 4/3 for diffusion in classical percolation clusters and, after much research on the subject, it is still provides a very good approximation for d s in the case of uncorrelated percolation cluster structures. However, what happens to the value of d s when a particle is moving inside a correlated percolation cluster? In this work, this problem is studied via Monte Carlo computer simulation. Our results show that the Alexander and Orbach conjecture is not always fulfilled. |
| Databáze: | Directory of Open Access Journals |
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