Finite-Size Effects in Aging can be Interpreted as Sub-Aging
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917887594201088 |
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| author | Christiansen, Henrik Majumder, Suman Janke, Wolfhard Henkel, Malte |
| author_facet | Christiansen, Henrik Majumder, Suman Janke, Wolfhard Henkel, Malte |
| contents | Systems brought out of equilibrium through a rapid quench from a disordered initial state into an ordered phase undergo physical aging in the form of phase-ordering kinetics, with characteristic dynamical scaling. In many systems, notably glasses, dynamical scaling is often described through sub-aging, where a phenomenological sub-aging exponent $0<μ< 1$ is empirically chosen to achieve the best possible data collapse. Here it is shown that finite-size effects modify the dynamical scaling behavior, away from simple aging with $μ=1$ towards $μ<1$, such that phenomenologically it would appear as sub-aging. This is exemplified for the exactly solved dynamical spherical model in dimensions $2<d<4$ and numerical simulations of the two-dimensional Ising model, with short-ranged and long-ranged interactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04843 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite-Size Effects in Aging can be Interpreted as Sub-Aging Christiansen, Henrik Majumder, Suman Janke, Wolfhard Henkel, Malte Statistical Mechanics Computational Physics Systems brought out of equilibrium through a rapid quench from a disordered initial state into an ordered phase undergo physical aging in the form of phase-ordering kinetics, with characteristic dynamical scaling. In many systems, notably glasses, dynamical scaling is often described through sub-aging, where a phenomenological sub-aging exponent $0<μ< 1$ is empirically chosen to achieve the best possible data collapse. Here it is shown that finite-size effects modify the dynamical scaling behavior, away from simple aging with $μ=1$ towards $μ<1$, such that phenomenologically it would appear as sub-aging. This is exemplified for the exactly solved dynamical spherical model in dimensions $2<d<4$ and numerical simulations of the two-dimensional Ising model, with short-ranged and long-ranged interactions. |
| title | Finite-Size Effects in Aging can be Interpreted as Sub-Aging |
| topic | Statistical Mechanics Computational Physics |
| url | https://arxiv.org/abs/2501.04843 |