Percolation of systems having hyperuniformity or giant number-fluctuations
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866916849517592576 |
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| author | Mitra, Sayantan Mukherjee, Indranil Mohanty, P. K. |
| author_facet | Mitra, Sayantan Mukherjee, Indranil Mohanty, P. K. |
| contents | We generate point configurations (PCs) by thresholding the local energy of the Ashkin-Teller model in two dimensions (2D) and study the percolation transition at different values of $λ$ along the critical Baxter line by varying the threshold that controls the particle density $ρ$. For all values of $λ$, the PCs exhibit power-law correlations with a decay exponent $a$ that remains independent of $ρ$ and varies continuously with $λ$. For $λ< 0$, where the PCs are hyperuniform, the percolation critical behavior is identical to that of ordinary percolation. In contrast, for $λ> 0$, the configurations exhibit giant number fluctuations, and all critical exponents vary continuously, but form a superuniversality class of percolation transition in 2D. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_00822 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Percolation of systems having hyperuniformity or giant number-fluctuations Mitra, Sayantan Mukherjee, Indranil Mohanty, P. K. Statistical Mechanics We generate point configurations (PCs) by thresholding the local energy of the Ashkin-Teller model in two dimensions (2D) and study the percolation transition at different values of $λ$ along the critical Baxter line by varying the threshold that controls the particle density $ρ$. For all values of $λ$, the PCs exhibit power-law correlations with a decay exponent $a$ that remains independent of $ρ$ and varies continuously with $λ$. For $λ< 0$, where the PCs are hyperuniform, the percolation critical behavior is identical to that of ordinary percolation. In contrast, for $λ> 0$, the configurations exhibit giant number fluctuations, and all critical exponents vary continuously, but form a superuniversality class of percolation transition in 2D. |
| title | Percolation of systems having hyperuniformity or giant number-fluctuations |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2504.00822 |