Emergent spatial structures in critical sandpiles

Details Emergent spatial structures in critical sandpiles Emergent spatial structures in critical sandpiles

1997-07-15

arxiv.org/abs/cond-mat/9707151v1

Phys. Rev. Lett. 79 (1997) 1519

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 Postscript figures, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.79.1519

We introduce and study a new directed sandpile model with threshold dynamics and stochastic toppling rules. We show that particle conservation law and the directed percolation-like local evolution of avalanches lead to the formation of a spatial structure in the steady state, with the density developing a power law tail away from the top. We determine the scaling exponents characterizing the avalanche distributions in terms of the critical exponents of directed percolation in all dimensions.

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