Tracer particle transport dynamics in the diffusive sandpile cellular automaton
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.
- Authors:
-
[1];
- Universidad de Cantabria, Santander (Spain). Departamento de Física Aplicada
- Universidad Carlos III de Madrid (Spain). Departamento de Física
- Univ. of Alaska, Fairbanks, AK (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Univ. of Alaska, Fairbanks, AK (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1849554
- Alternate Identifier(s):
- OSTI ID: 1778498
- Grant/Contract Number:
- FG02-04ER54741
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Chaos, Solitons and Fractals
- Additional Journal Information:
- Journal Volume: 140; Journal Issue: C; Journal ID: ISSN 0960-0779
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING; Mathematics; Physics; Diffusive Sandpile; tracer particles; Self-Organized Criticality; fractional transport
Citation Formats
Mier, J. A., Sánchez, R., and Newman, D. E. Tracer particle transport dynamics in the diffusive sandpile cellular automaton. United States: N. p., 2020.
Web. doi:10.1016/j.chaos.2020.110117.
Mier, J. A., Sánchez, R., & Newman, D. E. Tracer particle transport dynamics in the diffusive sandpile cellular automaton. United States. https://doi.org/10.1016/j.chaos.2020.110117
Mier, J. A., Sánchez, R., and Newman, D. E. Thu .
"Tracer particle transport dynamics in the diffusive sandpile cellular automaton". United States. https://doi.org/10.1016/j.chaos.2020.110117. https://www.osti.gov/servlets/purl/1849554.
@article{osti_1849554,
title = {Tracer particle transport dynamics in the diffusive sandpile cellular automaton},
author = {Mier, J. A. and Sánchez, R. and Newman, D. E.},
abstractNote = {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.},
doi = {10.1016/j.chaos.2020.110117},
journal = {Chaos, Solitons and Fractals},
number = C,
volume = 140,
place = {United States},
year = {Thu Jul 16 00:00:00 EDT 2020},
month = {Thu Jul 16 00:00:00 EDT 2020}
}
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