Estimate of the exit time for the Long Range Ising model on random regular graphs
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918134258073600 |
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| author | Jacquier, Vanessa |
| author_facet | Jacquier, Vanessa |
| contents | We investigate the metastable behavior of the long-range Ising model on random regular graphs under Glauber dynamics at low-temperature. We estimate the energy barrier and exit time from the metastable state using a nontrivial path-wise approach that explicitly accounts for the spatial decay of the interactions and the structural properties of the graph, such as the Cheeger constant and known estimates of the diameter. Our results generalize those of Dommers \cite{dommers2017metastability} for the short-range case, providing a unified framework for understanding metastability in systems with long-range interactions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_02188 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Estimate of the exit time for the Long Range Ising model on random regular graphs Jacquier, Vanessa Probability Mathematical Physics Data Analysis, Statistics and Probability 82B20, 82C20, 82C26, 60K35, 60J10, 05C80 We investigate the metastable behavior of the long-range Ising model on random regular graphs under Glauber dynamics at low-temperature. We estimate the energy barrier and exit time from the metastable state using a nontrivial path-wise approach that explicitly accounts for the spatial decay of the interactions and the structural properties of the graph, such as the Cheeger constant and known estimates of the diameter. Our results generalize those of Dommers \cite{dommers2017metastability} for the short-range case, providing a unified framework for understanding metastability in systems with long-range interactions. |
| title | Estimate of the exit time for the Long Range Ising model on random regular graphs |
| topic | Probability Mathematical Physics Data Analysis, Statistics and Probability 82B20, 82C20, 82C26, 60K35, 60J10, 05C80 |
| url | https://arxiv.org/abs/2509.02188 |