在分数动态下非规范化的准平衡状态
Lucianno Defaveri1, Maike A F Dos Santos2, David A Kessler1
1Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel.
Physical review. E
|September 19, 2023
概括
热浴中的粒子表现出长时间的停滞状态,被确定为非正常化准平衡 (NNQE) 状态. 它们的持续时间依赖于潜在的深度和温度,受异常扩散的影响.
科学领域:
- 物理 物理学 物理
- 统计力学 统计力学
- 异常扩散异常扩散
背景情况:
- 在热浴中异常扩散的粒子从潜在井中释放出来.
- 在低温下,系统的可观测值在长时间内保持不变.
研究的目的:
- 描述这些长期停滞不前的状态.
- 分析影响它们持续时间的因素.
主要方法:
- 使用了分数时间的福克-普朗克方程 (FTFPE).
- 采用连续时间随机步行方法.
- 计算了动态和热力学可观测的集体平均值.
主要成果:
- 确定了停滞状态作为非正常化准平衡 (NNQE) 状态.
- 对于NNQE状态持续时间的衍生分析估计.
- 显示的时间尺度指数取决于潜在深度 (以温度单位) 和分数指数.
结论:
- NNQE状态代表了异常扩散的一个独特的动态状态.
- 暂时停滞的持续时间对系统参数 (如潜在深度和温度) 非常敏感.
- 分数动态在控制这些状态的持续性方面发挥着至关重要的作用.
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