$1/f$ noise in the Ising model
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917946945699840 |
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| author | Chhimpa, Rahul Yadav, Avinash Chand |
| author_facet | Chhimpa, Rahul Yadav, Avinash Chand |
| contents | We simulate the $N$-spin critical Ising model on a square lattice using Glauber dynamics and consider the typical one-unit time equal to $N$ single-spin-flip attempts. The divergence of correlation time with the linear extent of the system results in critical slowing down, a challenge to equilibration because the spin configurations generated in such a way are temporally correlated. We examine temporal correlations in the number of accepted spin flips and show a signature of non-trivial long-time correlation of a logarithmically decaying form or the corresponding power spectral density follows canonical $1/f$ noise. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_04105 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $1/f$ noise in the Ising model Chhimpa, Rahul Yadav, Avinash Chand Statistical Mechanics We simulate the $N$-spin critical Ising model on a square lattice using Glauber dynamics and consider the typical one-unit time equal to $N$ single-spin-flip attempts. The divergence of correlation time with the linear extent of the system results in critical slowing down, a challenge to equilibration because the spin configurations generated in such a way are temporally correlated. We examine temporal correlations in the number of accepted spin flips and show a signature of non-trivial long-time correlation of a logarithmically decaying form or the corresponding power spectral density follows canonical $1/f$ noise. |
| title | $1/f$ noise in the Ising model |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2503.04105 |