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Physical review. E
Fractional transport equations are used to build an effective model for transport across the running sandpile cellular automaton [T. Hwa and M. Kardar, 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, that are governed by self-organized criticality, at least over sufficiently long/large scales. In contrast to previous applications of fractional transport equations to otherdoi:10.1103/physreve.97.052123 pmid:29906898 fatcat:bbetq6twpjhhlfwmprdl45gfyu