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

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 $C_{\text{ag}}$ is expected to obey dynamical scaling and to follow asymptotically a power-law decay with the autocorrelation exponent $\lambda$. Previous work indicated that the lower Fisher-Huse bound of $\lambda \ge d/2=1.5$ is violated in this model. Using much larger systems than previously studied, the instantaneous exponent for $\lambda$ 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 $\lambda =1.58(14)$ 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.

arXiv comment9 pages, 7 figures

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Cited by in corpus (2)

• Physical ageing from generalised time-translation-invariance
• Non-universality of aging during phase separation of the two-dimensional long-range Ising model