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在二维高斯随机场Ising模型中的动态描述过渡中的不稳定动态
Xiaohui Qian1, Gaotian Yu1, Nengji Zhou1
1School of Physics, Hangzhou Normal University, Hangzhou 311121, China.
Physical review. E
|July 19, 2023
概括
这项研究揭示了在动态定义过渡中明显的域壁增长,建立了一个新的普遍性类. 这些发现澄清了无序系统中的关键行为和相位过渡.
科学领域:
- 统计物理 统计物理
- 凝聚物质物理学 凝聚物质物理学
- 计算物理 计算物理
背景情况:
- 调查动态描述过渡对于理解有灭混乱的系统至关重要.
- 高斯的随机场Ising模型为研究相位过渡提供了一个基本的框架.
- 不稳定的放松动态为复杂系统的关键行为提供了洞察力.
研究的目的:
- 分析动态变化过渡时的非稳定放松动态.
- 准确确定过渡场和静态/动态指数.
- 在二维高斯随机场Ising模型中建立定义过渡的普遍性类.
主要方法:
- 使用了大规模的蒙特卡洛模拟.
- 使用短期动态缩放形式分析了动态缩放行为.
- 检查了域壁速度和高度的空间相关长度.
主要成果:
- 确定了空间相关长度的两个不同的增长过程.
- 建立了普遍性类,不同于灭的混乱方程,但与实验保持一致.
- 在弱失秩序制度中观察到从第二阶段过渡到第一阶段过渡的交叉.
结论:
- 该研究为动态描述过渡建立了一个新的普遍性类.
- 结果将模拟结果与实验观察结果相协调.
- 这项研究突出了在介视时间影响下异常的,依赖于障碍的关键性.
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