Birds on a Wire
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866915099614117888 |
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| author | Krapivsky, P. L. Redner, S. |
| author_facet | Krapivsky, P. L. Redner, S. |
| contents | We investigate the occupancy statistics of birds on a wire and on higher-dimensional substrates. In one dimension, birds land one by one on a wire and rest where they land. Whenever a newly arriving bird lands within a fixed distance of already resting birds, these resting birds immediately fly away. We determine the steady-state occupancy of the wire, the distribution of gaps between neighboring birds, and other basic statistical features of this process. We discuss conjectures for corresponding observables in higher dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_00995 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Birds on a Wire Krapivsky, P. L. Redner, S. Statistical Mechanics Probability Physics and Society We investigate the occupancy statistics of birds on a wire and on higher-dimensional substrates. In one dimension, birds land one by one on a wire and rest where they land. Whenever a newly arriving bird lands within a fixed distance of already resting birds, these resting birds immediately fly away. We determine the steady-state occupancy of the wire, the distribution of gaps between neighboring birds, and other basic statistical features of this process. We discuss conjectures for corresponding observables in higher dimensions. |
| title | Birds on a Wire |
| topic | Statistical Mechanics Probability Physics and Society |
| url | https://arxiv.org/abs/2205.00995 |