平均场旋转玻璃的地面状态与3旋转合器
Stefan Boettcher1, Ginger E Lau1
1Emory University, Department of Physics, Atlanta, Georgia 30322, USA.
Physical review letters
|August 4, 2025
概括
我们发现,三旋玻璃模型在计算上比二旋雪灵顿-柯克帕特里克模型更难解决. 它的基本状态属性尺度不同,类似于随机能量模型.
科学领域:
- 统计力学就是统计力学.
- 无序的系统是一个无序的系统.
- 旋转玻璃模型的模型
背景情况:
- 具有p=3的平均场p-旋转玻璃模型由于其"重叠间隙条件"而引起了最近的兴趣.
- 这种情况表明,使用本地搜索方法发现地面状态很困难,与Sherrington-Kirkpatrick模型 (SKM,p=2) 不同.
研究的目的:
- 为了确定中场p-spin玻璃模型 (p=3) 的基态配置,以低系统误差.
- 将p=3模型的计算成本和基本状态行为与SKM (p=2) 和随机能量模型 (REM,p=∞) 进行比较.
主要方法:
- 在广泛的计算中采用了启发式优化方法.
- 分析的重点是基态能量密度,它们的分布和有限大小的校正.
主要成果:
- 对于p=3模型来说,找到基态比SKM更昂贵.
- 基态能量密度及其分布为p=3尺度,分别有lnN/N和1/N的校正,与Gumbel形式一致.
- 与SKM不同的是,p=3模型在稀释的情况下没有显示异常纠正与键密度的变化,与REM保持一致.
结论:
- 与SKM相比,p=3旋转玻璃模型表现出明显的基态行为.
- 所有具有p≥3的p-旋转模型似乎与REM共享相同的基本状态校正,这表明更高阶旋转眼镜的普遍缩放行为.
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