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Birds on a wire

2022; Institute of Physics; Volume: 2022; Issue: 10 Linguagem: Inglês

10.1088/1742-5468/ac98bf

1742-5468

P. L. Krapivsky, S. Redner,

Theoretical and Computational Physics

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.