Tracer particle transport dynamics in the diffusive sandpile cellular automaton

Mier, J. A.; Sánchez, R.; Newman, D. E.

doi:10.1016/j.chaos.2020.110117

Tracer particle transport dynamics in the diffusive sandpile cellular automaton

Journal Article · Thu Jul 16 00:00:00 EDT 2020 · Chaos, Solitons and Fractals

DOI:https://doi.org/10.1016/j.chaos.2020.110117· OSTI ID:1849554

^[1]; Sánchez, R. ^[2]; Newman, D. E. ^[3]

Universidad de Cantabria, Santander (Spain). Departamento de Física Aplicada; Universidad de Cantabria, Santander (Spain)
Universidad Carlos III de Madrid (Spain). Departamento de Física
Univ. of Alaska, Fairbanks, AK (United States). Dept. of Physics

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.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Alaska, Fairbanks, AK (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-04ER54741

OSTI ID:: 1849554

Alternate ID(s):: OSTI ID: 1778498

Journal Information:: Chaos, Solitons and Fractals, Journal Name: Chaos, Solitons and Fractals Journal Issue: C Vol. 140; ISSN 0960-0779

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (20)

Self-organized criticality in asymmetric exclusion model with noise for freeway traffic Nagatani, Takashi Physica A: Statistical Mechanics and its Applications, Vol. 218, Issue 1-2 https://doi.org/10.1016/0378-4371(95)00093-M	journal	August 1995
The random walk's guide to anomalous diffusion: a fractional dynamics approach Metzler, Ralf; Klafter, Joseph Physics Reports, Vol. 339, Issue 1 https://doi.org/10.1016/S0370-1573(00)00070-3	journal	December 2000
Patterns of seismic activity preceding large earthquakes Shaw, Bruce E.; Carlson, J. M.; Langer, J. S. Journal of Geophysical Research, Vol. 97, Issue B1 https://doi.org/10.1029/91JB01796	journal	January 1992
Random Walks on Lattices. II Montroll, Elliott W.; Weiss, George H. Journal of Mathematical Physics, Vol. 6, Issue 2 https://doi.org/10.1063/1.1704269	journal	February 1965
Fractional diffusion models of nonlocal transport del-Castillo-Negrete, D. Physics of Plasmas, Vol. 13, Issue 8 https://doi.org/10.1063/1.2336114	journal	August 2006
Avalanches and the distribution of solar flares Lu, Edward T.; Hamilton, Russell J. The Astrophysical Journal, Vol. 380 https://doi.org/10.1086/186180	journal	October 1991
Is a black hole accretion disk in a self-organized critical state? Mineshige, S.; Takeuchi, M.; Nishimori, H. The Astrophysical Journal, Vol. 435 https://doi.org/10.1086/187610	journal	November 1994
Mixed SOC diffusive dynamics as a paradigm for transport in fusion devices Sánchez, R.; Newman, D. E.; Carreras, B. A. Nuclear Fusion, Vol. 41, Issue 3 https://doi.org/10.1088/0029-5515/41/3/301	journal	March 2001
Modelling of ELM-like phenomena via mixed SOC-diffusive dynamics Sánchez, R.; Newman, D. E.; Carreras, B. A. Nuclear Fusion, Vol. 43, Issue 10 https://doi.org/10.1088/0029-5515/43/10/003	journal	September 2003
Self-organized criticality and the dynamics of near-marginal turbulent transport in magnetically confined fusion plasmas Sanchez, R.; Newman, D. E. Plasma Physics and Controlled Fusion, Vol. 57, Issue 12 https://doi.org/10.1088/0741-3335/57/12/123002	journal	November 2015
Anomalous diffusion in a running sandpile model Carreras, B. A.; Lynch, V. E.; Newman, D. E. Physical Review E, Vol. 60, Issue 4 https://doi.org/10.1103/PhysRevE.60.4770	journal	October 1999
Characterization of a transition in the transport dynamics of a diffusive sandpile by means of recurrence quantification analysis Mier, J. A.; Sánchez, R.; Newman, D. E. Physical Review E, Vol. 94, Issue 2 https://doi.org/10.1103/PhysRevE.94.022128	journal	August 2016
Modeling transport across the running-sandpile cellular automaton by means of fractional transport equations Sánchez, R.; Newman, D. E.; Mier, J. A. Physical Review E, Vol. 97, Issue 5 https://doi.org/10.1103/PhysRevE.97.052123	journal	May 2018
Characterization of Nondiffusive Transport in Plasma Turbulence via a Novel Lagrangian Method Mier, J. A.; Sánchez, R.; García, L. Physical Review Letters, Vol. 101, Issue 16 https://doi.org/10.1103/PhysRevLett.101.165001	journal	October 2008
Self-organized criticality: An explanation of the 1/ f noise Bak, Per; Tang, Chao; Wiesenfeld, Kurt Physical Review Letters, Vol. 59, Issue 4 https://doi.org/10.1103/PhysRevLett.59.381	journal	July 1987
Self-organized critical forest-fire model Drossel, B.; Schwabl, F. Physical Review Letters, Vol. 69, Issue 11 https://doi.org/10.1103/PhysRevLett.69.1629	journal	September 1992
Punctuated equilibrium and criticality in a simple model of evolution Bak, Per; Sneppen, Kim Physical Review Letters, Vol. 71, Issue 24 https://doi.org/10.1103/PhysRevLett.71.4083	journal	December 1993
Superconducting Vortex Avalanches Field, Stuart; Witt, Jeff; Nori, Franco Physical Review Letters, Vol. 74, Issue 7 https://doi.org/10.1103/PhysRevLett.74.1206	journal	February 1995
Avalanche Merging and Continuous Flow in a Sandpile Model Corral, Álvaro; Paczuski, Maya Physical Review Letters, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevLett.83.572	journal	July 1999
Transition in the Dynamics of a Diffusive Running Sandpile Newman, D. E.; Sánchez, R.; Carreras, B. A. Physical Review Letters, Vol. 88, Issue 20 https://doi.org/10.1103/PhysRevLett.88.204304	journal	May 2002

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Tracer particle transport dynamics in the diffusive sandpile cellular automaton

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