论文信息 - Large-scale simulation of avalanche cluster distribution in sand pile model

Large-scale simulation of avalanche cluster distribution in sand pile model

The avalanche cluster distribution of the sand pile model of self-organized criticality is studied on the square lattice. A vectorized multispin coding algorithm is developed for this study with three bits per site. The exponents characterizing the size and the lifetime of the avalanches are slightly different from the previous estimates.

S. S. Manna

[1] Hwa,et al. Dissipative transport in open systems: An investigation of self-organized criticality. , 1989, Physical review letters.

[2] Tang,et al. Self-Organized Criticality: An Explanation of 1/f Noise , 2011 .

[3] P. M. Horn,et al. Low-frequency fluctuations in solids: 1/f noise , 1981 .

[4] Wu,et al. Scaling and universality in avalanches. , 1989, Physical review. A, General physics.

[5] Zhang,et al. Scaling theory of self-organized criticality. , 1989, Physical review letters.

[6] B. Mandelbrot. Fractal Geometry of Nature , 1984 .

[7] J. Brickmann. B. Mandelbrot: The Fractal Geometry of Nature, Freeman and Co., San Francisco 1982. 460 Seiten, Preis: £ 22,75. , 1985 .

[8] S. Redner,et al. Introduction To Percolation Theory , 2018 .

[9] Dhar,et al. Exactly solved model of self-organized critical phenomena. , 1989, Physical review letters.