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https://repositorio.ufba.br/handle/ri/14606
metadata.dc.type: | Artigo de Periódico |
Título : | Analytical approach to directed sandpile models on the Apollonian network |
Otros títulos : | Physical Review E |
Autor : | Vieira, André P. Andrade Júnior, José Soares de Herrmann, Hans J. Andrade, Roberto Fernandes Silva |
metadata.dc.creator: | Vieira, André P. Andrade Júnior, José Soares de Herrmann, Hans J. Andrade, Roberto Fernandes Silva |
Resumen : | We investigate a set of directed sandpile models on the Apollonian network, which are inspired by the work of Dhar and Ramaswamy [Phys. Rev. Lett. 63, 1659 (1989)] on Euclidian lattices. They are characterized by a single parameter q, which restricts the number of neighbors receiving grains from a toppling node. Due to the geometry of the network, two- and three-point correlation functions are amenable to exact treatment, leading to analytical results for avalanche distributions in the limit of an infinite system for q=1,2. The exact recurrence expressions for the correlation functions are numerically iterated to obtain results for finite-size systems when larger values of q are considered. Finally, a detailed description of the local flux properties is provided by a multifractal scaling analysis. |
metadata.dc.publisher.country: | Brasil |
metadata.dc.rights: | Acesso Aberto |
URI : | http://repositorio.ufba.br/ri/handle/ri/14606 |
Fecha de publicación : | 2007 |
Aparece en las colecciones: | Artigo Publicado em Periódico (FIS) |
Ficheros en este ítem:
Fichero | Descripción | Tamaño | Formato | |
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PhysRevE.76.026111.pdf | 202,95 kB | Adobe PDF | Visualizar/Abrir |
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