Waves in the sandpile model on fractal lattices

详细信息    查看全文

• 作者：Daerden ; F. ; Priezzhev ; V.B. ; Vanderzande ; C.
• 关键词：Self-organized criticality ; Sandpiles ; Fractals
• 刊名：Physica A
• 出版年：2001
• 出版时间：March 15, 2001
• 年：2001
• 卷：292
• 期：1-4
• 页码：43-54
• 全文大小：184 K

文摘

The scaling properties of waves of topplings of the sandpile model on a fractal lattice are investigated. The exponent describing the asymptotics of the distribution of last waves in an avalanche is found. Predictions for scaling exponents in the forward and backward conditional probabilities for two consecutive waves are given. All predictions were examined by simulations on the Sierpinski gasket and were found to be in a reasonable agreement with the numerical data.