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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2402.10909 |
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| _version_ | 1866913236130988032 |
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| author | Van Siclen, Clinton DeW. |
| author_facet | Van Siclen, Clinton DeW. |
| contents | Algebraic expressions are found for the effective conductivities of some infinite tessellations composed of conducting square, triangular, or hexagonal tiles. A tessellation is further characterized by the number N of different colors (different tile conductivities) represented. Tiles of a color are distributed randomly, and constitute an areal fraction 1/N of the tessellation. The expressions take account of the percolation threshold associated with the tile type. This generates a series of expressions for the three-color case, that suggests this approach gives lower bounds for the true effective conductivities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10909 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effective conductivities of some multi-color, isotropic, regular tessellations Van Siclen, Clinton DeW. General Physics Algebraic expressions are found for the effective conductivities of some infinite tessellations composed of conducting square, triangular, or hexagonal tiles. A tessellation is further characterized by the number N of different colors (different tile conductivities) represented. Tiles of a color are distributed randomly, and constitute an areal fraction 1/N of the tessellation. The expressions take account of the percolation threshold associated with the tile type. This generates a series of expressions for the three-color case, that suggests this approach gives lower bounds for the true effective conductivities. |
| title | Effective conductivities of some multi-color, isotropic, regular tessellations |
| topic | General Physics |
| url | https://arxiv.org/abs/2402.10909 |