Sandpile model on the Sierpinski gasket fractal.

  title={Sandpile model on the Sierpinski gasket fractal.},
  author={Kutnjak-Urbanc and Zapperi and Milosevic and Stanley},
  journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  volume={54 1},
  • Kutnjak-Urbanc, Zapperi, +1 author Stanley
  • Published 6 April 1995
  • Physics, Medicine
  • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
We investigate the sandpile model on the two-dimensional Sierpinski gasket fractal. We find that the model displays interesting critical behavior, and we analyze the distribution functions of avalanche sizes, lifetimes, and topplings and calculate the associated critical exponents t51.5160.04, a51.6360.04, and m51.3660.04. The avalanche size distribution shows power-law behavior modulated by logarithmic oscillations which can be related to the discrete scale invariance of the underlying lattice… 
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