Anomalous diffusion in a running sandpile model.
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, </x(t)-x(0)/(n)>=D(0)t(nnu(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<1.
Carreras
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BA
Oak Ridge National Laboratory, Oak Ridge, TN 37831-8070, USA.
Lynch
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Newman
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DE
Zaslavsky
G M
GM