Aging following a zero-temperature quench in the d = 3 Ising model

Denis Gessert; Henrik Christiansen; Wolfhard Janke

doi:10.1103/PhysRevE.109.044148

Aging following a zero-temperature quench in the d = 3 Ising model

Denis Gessert, Henrik Christiansen, Wolfhard Janke

Research Centre for Fluid and Complex Systems

Universität Leipzig

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Abstract

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 Cag 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≥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 not disagree with this bound. By conducting systematic fits to the data of Cag using different Ansätze for the leading correction term, we find λ=1.58(14), with most of the error attributed to the systematic uncertainty regarding the Ansätze. This result is in contrast to the recent report that below the roughening transition universality might be violated.

Original language	English
Article number	044148
Number of pages	8
Journal	Physical Review E
Volume	109
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.109.044148
Publication status	Published - 23 Apr 2024

Bibliographical note

Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal
permission of the copyright holders.

This document is the author’s post-print version, incorporating any revisions agreed during the peer-review process. Some differences between the published version and this version may remain and you are advised to consult the published version if you wish to cite from it.

Funder

This project was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Project No. 189 853 844 – SFB/TRR 102 (Project No. B04) and the Deutsch-Französische Hochschule (DFHUFA) through the Doctoral College “L4” under Grant No. CDFA-02-07. We further acknowledge support by the Leipzig Graduate School of Natural Sciences “BuildMoNa.” Calculations were performed using the Sulis Tier 2 HPC platform hosted by the Scientific Computing Research Technology Platform at the University of Warwick. Sulis is funded by EPSRC Grant No. EP/T022108/1 and the HPC Midlands+ Consortium. Moreover, we acknowledge the provision of computing time on the parallel computer cluster Zeus at Coventry University.

Funding

This project was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Project No. 189 853 844 – SFB/TRR 102 (Project No. B04) and the Deutsch-Französische Hochschule (DFHUFA) through the Doctoral College “L4” under Grant No. CDFA-02-07. Sulis is funded by EPSRC Grant No. EP/T022108/1.

Funders	Funder number
Deutsche Forschungsgemeinschaft	189 853 844 – SFB/TRR 102 (Project No. B04)
Deutsch-Französische Hochschule	CDFA-02-07
Engineering and Physical Sciences Research Council	EP/T022108/1

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10.1103/PhysRevE.109.044148

Gessert2024AAMAccepted author manuscript, 1.32 MB

Cite this

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abstract = "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 Cag 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≥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 not disagree with this bound. By conducting systematic fits to the data of Cag using different Ans{\"a}tze for the leading correction term, we find λ=1.58(14), with most of the error attributed to the systematic uncertainty regarding the Ans{\"a}tze. This result is in contrast to the recent report that below the roughening transition universality might be violated.",

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Aging following a zero-temperature quench in the d = 3 Ising model

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