Critical aging and relaxation dynamics in long-range systems
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908750673084416 |
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| author | Pagni, Valerio Ihssen, Friederike Defenu, Nicolò |
| author_facet | Pagni, Valerio Ihssen, Friederike Defenu, Nicolò |
| contents | We study the dynamical scaling of long-range $\mathrm{O}(N)$ models after a sudden quench to the critical temperature, using the functional renormalization group approach. We characterize both short-time aging and long-time relaxation as a function of the symmetry index $N$, the interaction range decay exponent $σ$ and the dimension $d$. Our results substantially improve on perturbative predictions, as demonstrated by benchmarks against Monte Carlo simulations and the large-$N$ limit. Finally, we demonstrate that long-range systems increase the performance of critical heat engines with respect to a local active medium. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_03355 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Critical aging and relaxation dynamics in long-range systems Pagni, Valerio Ihssen, Friederike Defenu, Nicolò Statistical Mechanics We study the dynamical scaling of long-range $\mathrm{O}(N)$ models after a sudden quench to the critical temperature, using the functional renormalization group approach. We characterize both short-time aging and long-time relaxation as a function of the symmetry index $N$, the interaction range decay exponent $σ$ and the dimension $d$. Our results substantially improve on perturbative predictions, as demonstrated by benchmarks against Monte Carlo simulations and the large-$N$ limit. Finally, we demonstrate that long-range systems increase the performance of critical heat engines with respect to a local active medium. |
| title | Critical aging and relaxation dynamics in long-range systems |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2601.03355 |