Publication:
Tracer particle transport dynamics in the diffusive sandpile cellular automaton

Loading...
Thumbnail Image
Identifiers
Publication date
2020-11
Defense date
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
ELSEVIER BV
Impact
Google Scholar
Export
Research Projects
Organizational Units
Journal Issue
Abstract
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.
Description
Keywords
Diffusive sandpile, Fractional transport, Self-organized criticality, Tracer particles
Bibliographic citation
Mier, J.A., Sánchez, R., & Newman, D. E. 2020. Tracer particle transport dynamics in the diffusive sandpile cellular automaton. In Chaos, Solitons & Fractals, 140, 110117-110126