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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2410.23974 |
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| _version_ | 1866916738992439296 |
|---|---|
| author | Hu, Haoran |
| author_facet | Hu, Haoran |
| contents | We consider the relaxation time for the Glauber dynamics of infinite-volume critical ferromagnetic Ising model on $\Z^{d}$ in any dimension $d\geq2$. Under the assumptions regarding the finite-volume log-Sobolev constant and the 1-arm exponent of the critical 1-spin expectation, we show that the equal-position temporal spin correlation function decays polynomially fast in time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23974 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Polynomial rate of relaxation for the Glauber dynamics of infinite-volume critical Ising model Hu, Haoran Probability Mathematical Physics 60J27, 60J46, 60K35 We consider the relaxation time for the Glauber dynamics of infinite-volume critical ferromagnetic Ising model on $\Z^{d}$ in any dimension $d\geq2$. Under the assumptions regarding the finite-volume log-Sobolev constant and the 1-arm exponent of the critical 1-spin expectation, we show that the equal-position temporal spin correlation function decays polynomially fast in time. |
| title | Polynomial rate of relaxation for the Glauber dynamics of infinite-volume critical Ising model |
| topic | Probability Mathematical Physics 60J27, 60J46, 60K35 |
| url | https://arxiv.org/abs/2410.23974 |