Anomalous diffusion in a running sandpile model

Journal Article · Fri Oct 01 00:00:00 EDT 1999 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.60.4770· OSTI ID:686878

Carreras, B A; Lynch, V E; Newman, D E ^[1]; Zaslavsky, G M ^[2]

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1. Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-8070 (United States)
2. Courant Institute of Mathematical Sciences, New York University, New York, New York 10012 (United States)

To explore the character of underlying transport in a sandpile, we have followed the motion of tracer particles. Moments of the distribution function of the particle positions, {l_angle}{vert_bar}x(t){minus}x(0){vert_bar}{sup n}{r_angle}=D{sub 0}t{sup n{nu}(n)}, are determined as a function of the elapsed time. The numerical results show that the transport mechanism for distances less than the sandpile length is superdiffusive with an exponent {nu}(n) close to 0.75, for n{lt}1. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 686878
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 4 Vol. 60; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DIFFUSION
DISTRIBUTION FUNCTIONS
NUMERICAL SOLUTION
PLASMA SIMULATION
SAND
SCALING LAWS
TRANSPORT THEORY
TURBULENCE