Dynamic Space Packing
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866916385170391040 |
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| author | Dandekar, Rahul Krapivsky, P. L. |
| author_facet | Dandekar, Rahul Krapivsky, P. L. |
| contents | 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 $\mathbb{R}^d$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_14358 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Dynamic Space Packing Dandekar, Rahul Krapivsky, P. L. Statistical Mechanics Disordered Systems and Neural Networks Probability 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 $\mathbb{R}^d$. |
| title | Dynamic Space Packing |
| topic | Statistical Mechanics Disordered Systems and Neural Networks Probability |
| url | https://arxiv.org/abs/2306.14358 |