在二维远程Ising模型的阶段分离期间衰老的非普遍性
Fabio Müller1, Henrik Christiansen1,2, Wolfhard Janke1
1Institut für Theoretische Physik, <a href="https://ror.org/03s7gtk40">Universität Leipzig</a>, IPF 231101, 04081 Leipzig, Germany.
Physical review letters
|December 23, 2024
概括
长距离相互作用的二维Ising模型中的物理衰老显示出复杂的行为. 自相关指数 (λ) 取决于交互范围 (σ),近邻,远距离和中间模式的值是不同的.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 统计力学 统计力学
- 阶段过渡 阶段过渡 阶段过渡
背景情况:
- 研究相位分离动力学对于理解材料特性至关重要.
- 二维保存的伊辛模型为研究关键现象提供了一个基本的框架.
- 与短距离模型相比,远距离相互作用显著改变了系统动态.
研究的目的:
- 在2D Ising模型中分析相位分离动力学的衰老特性,使用功率定律衰变的远程相互作用.
- 要确定自相关指数 (λ) 与相互作用衰减指数 (σ) 的依赖.
- 为了探索中间交互范围中的交叉行为.
主要方法:
- 使用大都市蒙特卡洛模拟.
- 开发和使用一种针对远程交互系统优化的新算法.
- 分析两次自相关函数C ((t,t_w) 以量化衰老动态.
主要成果:
- 观察到的物理衰老,其特点是自相关函数的功率定律衰变.
- 确定了近邻极限 (σ→∞) 的特定值 λ=3.500(26).
- 发现了与≈4相容的λ值在长距离模式 (σ<1) 中,以及1σ2.2.的连续,非通用交叉.
结论:
- 老化指数 (λ) 呈现出对相互作用范围 (σ) 的复杂,连续的依赖.
- 这项研究强调了长距离相互作用对相位分离动学的重大影响.
- 开发的模拟算法可以有效地研究这些复杂的系统.
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