聖塔非研究所

摘要 The Bak Tang Wiesenfeld (BTW) sandpile process is

2014-01-15 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 The Bak Tang Wiesenfeld (BTW) sandpile process is an archetypal, stylized model of 複雜系統s with a critical point as an 吸引子 of their dynamics. This phenomenon, called self organized 臨界性, app…

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  • 類型:已發表論文
  • 日期:2014-01-15

摘要

The Bak-Tang-Wiesenfeld (BTW) sandpile process is an archetypal, stylized model of 複雜系統s with a critical point as an 吸引子 of their dynamics. This phenomenon, called self-organized 臨界性, appears to occur ubiquitously in both nature and technology. Initially introduced on the two-dimensional lattice, the BTW process has been studied on 網絡 structures with great analytical successes in the estimation of macroscopic quantities, such as the exponents of asymptotically power-law distributions. In this article, we take a microscopic perspective and study the inner workings of the process through both numerical and rigorous analysis. Our simulations reveal fundamental flaws in the assumptions of past phenomenological models, the same models that allowed accurate macroscopic predictions; we 數學ly justi

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