A Mexican hat dance: clustering in Ricker-potential particle systems
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908666136887296 |
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| author | Sabin-Miller, David Abrams, Daniel M. |
| author_facet | Sabin-Miller, David Abrams, Daniel M. |
| contents | 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 the Ricker potential, exhibiting finite local repulsion transitioning to distal attraction, leading to an energy-minimizing ``preferred distance''. When compressed by a background potential well of varying severity, 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01770 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Mexican hat dance: clustering in Ricker-potential particle systems Sabin-Miller, David Abrams, Daniel M. Adaptation and Self-Organizing Systems Mathematical Physics Dynamical 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 the Ricker potential, exhibiting finite local repulsion transitioning to distal attraction, leading to an energy-minimizing ``preferred distance''. When compressed by a background potential well of varying severity, 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. |
| title | A Mexican hat dance: clustering in Ricker-potential particle systems |
| topic | Adaptation and Self-Organizing Systems Mathematical Physics Dynamical Systems |
| url | https://arxiv.org/abs/2411.01770 |