Aging following a zero-temperature quench in the $d=3$ Ising model
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| Format: | Preprint |
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2024
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| _version_ | 1866908828060090368 |
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| author | Gessert, Denis Christiansen, Henrik Janke, Wolfhard |
| author_facet | Gessert, Denis Christiansen, Henrik Janke, Wolfhard |
| contents | Aging in phase-ordering kinetics of the $d=3$ Ising model following a quench from infinite to zero temperature is studied by means of Monte Carlo simulations. In this model the two-time spin-spin autocorrelator $C_\text{ag}$ is expected to obey dynamical scaling and to follow asymptotically a power-law decay with the autocorrelation exponent $λ$. Previous work indicated that the lower Fisher-Huse bound of $λ\geq d/2 = 1.5$ is violated in this model. Using much larger systems than previously studied, the instantaneous exponent for $λ$ we obtain at late times does \emph{not} disagree with this bound. By conducting systematic fits to the data of $C_\text{ag}$ using different ansaetze for the leading correction term, we find $λ= 1.58(14)$ with most of error attributed to the systematic uncertainty regarding the ansaetze. This result is in contrast to the recent report that below the roughening transition universality might be violated. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_04214 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Aging following a zero-temperature quench in the $d=3$ Ising model Gessert, Denis Christiansen, Henrik Janke, Wolfhard Statistical Mechanics Computational Physics Aging in phase-ordering kinetics of the $d=3$ Ising model following a quench from infinite to zero temperature is studied by means of Monte Carlo simulations. In this model the two-time spin-spin autocorrelator $C_\text{ag}$ is expected to obey dynamical scaling and to follow asymptotically a power-law decay with the autocorrelation exponent $λ$. Previous work indicated that the lower Fisher-Huse bound of $λ\geq d/2 = 1.5$ is violated in this model. Using much larger systems than previously studied, the instantaneous exponent for $λ$ we obtain at late times does \emph{not} disagree with this bound. By conducting systematic fits to the data of $C_\text{ag}$ using different ansaetze for the leading correction term, we find $λ= 1.58(14)$ with most of error attributed to the systematic uncertainty regarding the ansaetze. This result is in contrast to the recent report that below the roughening transition universality might be violated. |
| title | Aging following a zero-temperature quench in the $d=3$ Ising model |
| topic | Statistical Mechanics Computational Physics |
| url | https://arxiv.org/abs/2404.04214 |