阿贝尔与随机BTW模型中的起始与流出分布
Onsets and Outflow Distributions in Abelian and Stochastic BTW Models
AI总结：
本文通过计算机模拟研究BTW及随机BTW模型中体雪崩起始与边界流出的尺寸幂律依赖，并分析SOC态密度与边界分布，覆盖一至三维情形。
摘要：
我们通过计算机模拟研究了Bak Tang Wiesenfeld（BTW）模型和随机BTW模型中体雪崩的起始以及边界流出。我们还研究了这两个起始时间对系统尺寸的依赖关系。我们观察到这两个起始时间对系统尺寸遵循简单的幂律依赖关系。我们估计了BTW模型和随机BTW模型的这些幂律指数。我们观察了系统密度的演化，并估计了BTW和随机BTW模型的自组织临界（SOC）态密度。我们研究了BTW和随机BTW模型的边界分布，并表明边界分布不遵循幂律分布。在本文中，所有研究都是针对一维、二维和三维情形进行的。
英文摘要：
We study the onset of bulk avalanches and boundary outflow in the Bak Tang Wiesenfeld (BTW) model and in the stochastic BTW models by computer simulation. We also study the dependency of these two onset times on system sizes. We observe that these two onset times follow simple power-law dependency on system sizes. We estimate these power-law exponents both for the BTW model and for the stochastic BTW models. We observe the evolution of the density of the system and estimate self-organized critical (SOC) state density both for BTW and stochastic BTW models. We study the boundary distribution for BTW and stochastic BTW models and show that boundary distribution does not follow a power-law distribution. In this paper, all the investigations are done for one-dimensional, two-dimensional, and three-dimensional cases.
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