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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.10688 |
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| _version_ | 1866916616966504448 |
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| author | Ganguly, Soumya Kanti Mukherjee, Sumanta Dasgupta, Chandan |
| author_facet | Ganguly, Soumya Kanti Mukherjee, Sumanta Dasgupta, Chandan |
| contents | We conducted Monte Carlo simulations to analyze the percolation transition of a non-symmetric loop model on a regular three-dimensional lattice. We calculated the critical exponents for the percolation transition of this model. The percolation transition occurs at a temperature that is close to, but not exactly the thermal critical temperature. Our finite-size study on this model yielded a correlation length exponent that agrees with that of the three-dimensional XY model with an error margin of six per cent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_10688 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Percolation in a three-dimensional non-symmetric multi-color loop model Ganguly, Soumya Kanti Mukherjee, Sumanta Dasgupta, Chandan Statistical Mechanics We conducted Monte Carlo simulations to analyze the percolation transition of a non-symmetric loop model on a regular three-dimensional lattice. We calculated the critical exponents for the percolation transition of this model. The percolation transition occurs at a temperature that is close to, but not exactly the thermal critical temperature. Our finite-size study on this model yielded a correlation length exponent that agrees with that of the three-dimensional XY model with an error margin of six per cent. |
| title | Percolation in a three-dimensional non-symmetric multi-color loop model |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2502.10688 |