Abstract

We introduce a renormalization scheme of novel type that allows us to characterize the critical state and the scale invariant dynamics in sandpile models. The attractive fixed point clarifies the nature of self-organization in these systems. Universality classes can be identified and the critical exponents can be computed analytically. We obtain tau = 1.253 for the avalanche exponent and z = 1.234 for the dynamical exponent. These results are in good agreement with computer simulations. The method can be naturally extended to other problems with nonequilibrium stationary states.

Notes

Originally published in Physical Review Letters, v.72 no.11 (1994), pp.1690-1693. DOI:10.1103/PhysRevLett.72.1690. Dr. Vespignani is affiliated with Northeastern University as of the time of deposit.

Keywords

sandpile models, self-organization

Subject Categories

Renormalization (Physics)

Disciplines

Physics

Publisher

American Physical Society

Publication Date

3-14-1994

Rights Information

©1994 American Physical Society

Rights Holder

American Physical Society

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