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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.12373 |
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| _version_ | 1866911366650003456 |
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| author | Viot, Pascal Krapivsky, P. L. |
| author_facet | Viot, Pascal Krapivsky, P. L. |
| contents | In random sequential covering, identical objects are deposited randomly, irreversibly, and sequentially; only attempts that increase coverage are accepted. The process continues indefinitely on an infinite substrate, and we analyze the dynamics of random sequential covering of $\mathbb{Z}$ using $k$-mers. We introduce a method that provides a comprehensive solution to the dynamics of this process. We derive explicit solutions for trimers, tetramers, and pentamers; we study numerically random sequential covering by longer polymers ($k>5$). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_12373 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Random sequential covering of a one-dimensional lattice by $k$-mers Viot, Pascal Krapivsky, P. L. Statistical Mechanics In random sequential covering, identical objects are deposited randomly, irreversibly, and sequentially; only attempts that increase coverage are accepted. The process continues indefinitely on an infinite substrate, and we analyze the dynamics of random sequential covering of $\mathbb{Z}$ using $k$-mers. We introduce a method that provides a comprehensive solution to the dynamics of this process. We derive explicit solutions for trimers, tetramers, and pentamers; we study numerically random sequential covering by longer polymers ($k>5$). |
| title | Random sequential covering of a one-dimensional lattice by $k$-mers |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2410.12373 |