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 language | English |
|---|---|
| Article number | 044148 |
| Number of pages | 8 |
| Journal | Physical Review E |
| Volume | 109 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 23 Apr 2024 |
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