墨西哥帽舞：空间非排他性粒子系统中的聚类。

IF 3.2 2区数学 Q1 MATHEMATICS, APPLIED

Chaos Pub Date : 2025-09-01 DOI:10.1063/5.0271815

D Sabin-Miller, D M Abrams

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引用次数: 0

摘要

耦合粒子的动力学和自发组织是建模和应用数学中的一个经典问题。在这里，我们研究了由墨西哥帽型势能耦合的粒子的行为，一个表现出有限的局部排斥转变为远端吸引，导致能量最小化的“首选距离”。当受到背景势阱的限制时，这些粒子表现出复杂的自组织，形成不同大小和位置的“堆栈”。我们研究了这些高维排列的分岔，让我们对一个丰富的动态行为动物园有了诱人的一瞥。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Mexican hat dance: Clustering in spatially non-exclusive particle systems.

The dynamics and spontaneous organization of coupled particles is a classic problem in modeling and applied mathematics. Here, we examine the behavior of particles coupled by a Mexican hat type potential-one exhibiting finite local repulsion transitioning to distal attraction, leading to an energy-minimizing "preferred distance." When confined by a background potential well, these particles exhibit intricate self-organization into "stacks" with varying sizes and positions. We examine bifurcations of these high-dimensional arrangements, yielding tantalizing glimpses into a rich dynamical zoo of behavior.

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来源期刊

Chaos 物理-物理：数学物理

CiteScore

5.20

自引率

13.80%

发文量

448

审稿时长

2.3 months

期刊介绍： Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.