在一个杂的座节点上的动态歇斯底里显示了功率定律的缩放,但不是普遍的指数
Satyaki Kundu1, Ranjan Kumar Patel2, Srimanta Middey2
1Indian Institute of Science Education and Research Kolkata, Mohanpur, Nadia 741246, West Bengal, India.
Physical review. E
|September 19, 2023
概括
研究了动态歇斯底里症,即系统切换的延迟. 发现噪声降低了缩放指数,解释了在不同系统中观察到的变化.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 材料科学 材料科学 材料科学
- 非线性动力学 非线性动力学
背景情况:
- 动态歇斯底里,一个延迟切换的双位系统,受到有限的扫描速率的影响.
- 它是由靠近-节点分叉的反应减缓引起的,导致歇斯底里斯面积随着扫描速度的增加.
- 平均场理论预测无噪声系统的功率定律缩放指数为2/3.
研究的目的:
- 在热驱动的金属绝缘体过渡中实验研究动态歇斯底里.
- 了解噪声对动态歇斯底里和缩放指数的影响.
- 为了合理化观察到的动态hysteresis变化,在不同的系统中扩展指数.
主要方法:
- 在 NdNiO3 薄膜中实验研究动态歇斯底里.
- 使用Langevin动力学对顺序参数的数值研究.
- 权力定律缩放和缩放指数的分析.
主要成果:
- 实验缩放指数发现大约为1/3,偏离了平均场预测.
- 数字模拟显示,噪声系统地降低了动态指数至0.2.2.
- 功率定律的缩放特征在研究的参数范围内不受噪声的影响.
结论:
- 噪声显著影响动态歇斯底里,减少缩放指数.
- 这项工作解释了在动态歇斯底里研究中观察到的扩展指数的广泛变化.
- 这些发现合理化了在各种系统的动态歇斯底里中无处不在的权力定律缩放.
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