Finite-size scaling in the ageing dynamics of the $1D$ Glauber-Ising model
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866929690332102656 |
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| author | Henkel, Malte |
| author_facet | Henkel, Malte |
| contents | Single-time and two-time correlators are computed exactly in the $1D$ Glauber-Ising model after a quench to zero temperature and on a periodic chain of finite length $N$, using a simple analytical continuation technique. Besides the general confirmation of finite-size scaling in non-equilibrium dynamics, this allows to test the scaling behaviour of the plateau height $C_{\infty}^{(2)}$ to which the two-time auto-correlator converges, when deep into the finite-size regime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_05912 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite-size scaling in the ageing dynamics of the $1D$ Glauber-Ising model Henkel, Malte Statistical Mechanics High Energy Physics - Theory Mathematical Physics Quantum Physics Single-time and two-time correlators are computed exactly in the $1D$ Glauber-Ising model after a quench to zero temperature and on a periodic chain of finite length $N$, using a simple analytical continuation technique. Besides the general confirmation of finite-size scaling in non-equilibrium dynamics, this allows to test the scaling behaviour of the plateau height $C_{\infty}^{(2)}$ to which the two-time auto-correlator converges, when deep into the finite-size regime. |
| title | Finite-size scaling in the ageing dynamics of the $1D$ Glauber-Ising model |
| topic | Statistical Mechanics High Energy Physics - Theory Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2501.05912 |