Journal
CHAOS SOLITONS & FRACTALS
Volume 140, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2020.110117
Keywords
Diffusive Sandpile; tracer particles; Self-Organized Criticality; fractional transport
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Funding
- Ministerio de Economia y Competitividad of Spain [ENE2015-68265-P, ENE2015-6644 4-R]
- DOE-OFES at University of Alaska [DE-FG02-04ER5741]
- Spanish Government [UNC313-4E-2361, ENE2009-12213-C03-03, ENE2012-33219, ENE2012-31753]
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The confinement properties of the diffusive running sandpile are characterized by tracking the motion of a population of marked grains of sand. It is found that, as the relative strength of the avalanching to the diffusive transport channel is varied, a point is reached at which the particle global confinement time and the probability density functions of the jump-sizes and waiting-times of the tracked grains experience a sudden change, thus revealing a dynamical transition, that is consistent with previous studies (Newman DE et al., Phys Rev Lett 2002;88(20):204304). Across this transition, the sandpile moves from a regime characterized by self-similarity and memory, where avalanches of all possible sizes dominate transport across the system, to another regime where transport is taken over by near system-size, quasi periodic avalanches. Values for the fractional transport exponents that quantify effective transport across the sandpile prior to the transition are also obtained. (c) 2020 Elsevier Ltd. All rights reserved.
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