进化沙堆

IF 2.8 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Physica A: Statistical Mechanics and its Applications Pub Date : 2024-11-23 DOI:10.1016/j.physa.2024.130248

Carlos A. Alfaro , Juan Pablo Serrano , Ralihe R. Villagrán

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引用次数: 0

摘要

阿贝尔沙堆模型是 Bak、Tang 和 Wiesenfeld 研究的第一个自组织临界系统实例。沙堆的动态变化发生在沙粒推翻一个图形时。在这项研究中，我们允许图形随时间演变，并在每个阶段改变其拓扑结构。这就出现了经典沙堆模型中不可能出现的现象。例如，在有水槽的演化图上出现的不稳定配置永远不会稳定。我们还试验了在演化图上中心有大量晶粒的配置的稳定性，这让我们获得了有趣的分形。最后，我们得到了与某些演化沙堆相关的幂律。

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Evolutive sandpiles

The Abelian sandpile model was the first example of a self-organized critical system studied by Bak, Tang and Wiesenfeld. The dynamics of the sandpiles occur when the grains topple over a graph. In this study, we allow the graph to evolve over time and change its topology at each stage. This turns out in the occurrence of phenomena impossible in the classical sandpile models. For instance, unstable configurations over evolutive graphs with a sink that never stabilize. We also experiment with the stabilization of configurations with a large number of grains at the center over evolutive graphs, this allows us to obtain interesting fractals. Finally, we obtain power laws associated with some evolutive sandpiles.

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来源期刊

Physica A: Statistical Mechanics and its Applications 物理-物理：综合

CiteScore

7.20

自引率

9.10%

发文量

852

审稿时长

6.6 months

期刊介绍： Physica A: Statistical Mechanics and its Applications Recognized by the European Physical Society Physica A publishes research in the field of statistical mechanics and its applications. Statistical mechanics sets out to explain the behaviour of macroscopic systems by studying the statistical properties of their microscopic constituents. Applications of the techniques of statistical mechanics are widespread, and include: applications to physical systems such as solids, liquids and gases; applications to chemical and biological systems (colloids, interfaces, complex fluids, polymers and biopolymers, cell physics); and other interdisciplinary applications to for instance biological, economical and sociological systems.