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arXiv · 2306.14358

Dynamic Space Packing

Rahul Dandekar·P. L. Krapivsky
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Abstract

Dynamic space packing (DSP) is a random process with sequential addition and removal of identical objects into space. In the lattice version, objects are particles occupying single lattice sites, and adding a particle to a lattice site leads to the removal of particles on neighboring sites. We show that the model is solvable and determine the steady-state occupancy, correlation functions, desorption probabilities, and other statistical features for the DSP of hyper-cubic lattices. We also solve a continuous DSP of balls into $\mathbb{R}^d$.

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Rahul Dandekar, P. L. Krapivsky. 2023-06-25. Dynamic Space Packing. https://doi.org/10.1088/1742-5468%2Fad0223

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