Christiansen Henrik, Majumder Suman, Henkel Malte, Janke Wolfhard
Institut für Theoretische Physik, Universität Leipzig, IPF 231101, 04081 Leipzig, Germany.
Laboratoire de Physique et Chimie Théoriques (CNRS UMR 7019), Université de Lorraine Nancy, 54506 Vandœuvre-lès-Nancy Cedex, France.
Phys Rev Lett. 2020 Oct 30;125(18):180601. doi: 10.1103/PhysRevLett.125.180601.
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 subaging.
目前对老化现象的理解主要局限于对具有短程相互作用系统的研究。对于长程系统的老化了解甚少。在此，通过蒙特卡罗模拟研究了具有幂律长程相互作用的二维伊辛模型在相序动力学中的老化。对于所研究的所有相互作用范围，两次自旋 - 自旋自相关器的动力学标度都能通过简单老化得到很好的描述。在有效短程区域，自相关指数与λ = 1.25一致，而对于更强的长程相互作用，数据与λ = d/2 = 1一致。对于非常长程的相互作用，观察到强烈的有限尺寸效应。我们讨论了这种有限尺寸效应是否可能在现象学上被误解为亚老化。
