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

Denis Gessert, Henrik Christiansen, Wolfhard Janke

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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 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 languageEnglish
Article number044148
Number of pages8
JournalPhysical Review E
Volume109
DOIs
Publication statusPublished - 23 Apr 2024

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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.

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