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Modeling transport across the running-sandpile cellular automaton by means of fractional transport equations

Abstract: Fractional transport equations are used to build an effective model for transport across the running sandpile cellular automaton [Hwa et al., Phys. Rev. A 45, 7002 (1992)]. It is shown that both temporal and spatial fractional derivatives must be considered to properly reproduce the sandpile transport features, which are governed by self-organized criticality, at least over sufficiently long or large scales. In contrast to previous applications of fractional transport equations to other systems, the specifics of sand motion require in this case that the spatial fractional derivatives used for the running sandpile must be of the completely asymmetrical Riesz-Feller type. Appropriate values for the fractional exponents that define these derivatives in the case of the running sandpile are obtained numerically.

 Fuente: Physical Review E, 97 (5), 052123

Editorial: American Physical Society

 Fecha de publicación: 01/05/2018

Nº de páginas: 10

Tipo de publicación: Artículo de Revista

 DOI: 10.1103/PhysRevE.97.052123

ISSN: 1539-3755,1550-2376,2470-0045,2470-0053

Proyecto español: ENE2015-68265-P

Url de la publicación: DOI:https://doi.org/10.1103/PhysRevE.97.052123