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DY: Fachverband Dynamik und Statistische Physik
DY 16: Statistical Physics 3 - organized by Barbara Drossel (Darmstadt), Sabine Klapp (Berlin) and Thomas Speck (Mainz)
DY 16.1: Talk
Monday, March 22, 2021, 16:30–16:50, DYb
Aging in the Long-Range Ising Model — •Henrik Christiansen1, Suman Majumder1, Malte Henkel2,3,4, and Wolfhard Janke1 — 1Institut für Theoretische Physik, Universität Leipzig, IPF 231101, 04081 Leipzig, Germany — 2Laboratoire de Physique et Chimie Théoriques (CNRS UMR 7019), Université de Lorraine Nancy, 54506 Vandœuvre-lès-Nancy Cedex, France — 3Centro de Física Teórica e Computacional, Universidade de Lisboa, 1749-016 Lisboa, Portugal — 4Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany
The current understanding of aging phenomena is mainly confined to the study of systems with short-ranged interactions. Little is known about the aging of long-ranged systems. Here, the aging in the phase-ordering kinetics of the two-dimensional Ising model with power-law long-range interactions is studied via Monte Carlo simulations. The dynamical scaling of the two-time spin-spin autocorrelator is well described by simple aging for all interaction ranges studied. The autocorrelation exponents are consistent with λ=1.25 in the effectively short-range regime, while for stronger long-range interactions the data are consistent with λ=d/2=1. For very long-ranged interactions, strong finite-size effects are observed. We discuss whether such finite-size effects could be misinterpreted phenomenologically as sub-aging.
[1] H Christiansen, S Majumder, W Janke, Phys. Rev. E 99, 011301(R) (2019)
[2] H Christiansen, S Majumder, M Henkel, W Janke, Phys. Rev. Lett. 125, 180601 (2020)