Inversion Symmetry and Critical Exponents of Dissipating Waves in the Sandpile Model

Details Inversion Symmetry and Critical Exponents of Dissipating Waves in the Sandpile Model Inversion Symmetry and Critical Exponents of Dissipating Waves in the Sandpile Model

1999-08-06

arxiv.org/abs/cond-mat/9908089v2

Phys. Rev. Lett. 85, 4048 (2000)

Physics

Condensed Matter

Statistical Mechanics

5 REVTeX pages, 6 figures

Scientific paper

10.1103/PhysRevLett.85.4048

Statistics of waves of topplings in the Sandpile model is analysed both analytically and numerically. It is shown that the probability distribution of dissipating waves of topplings that touch the boundary of the system obeys power-law with critical exponent 5/8. This exponent is not indeendent and is related to the well-known exponent of the probability distribution of last waves of topplings by exact inversion symmetry s -> 1/s.

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