用库普曼运算符对元稳定动态进行数据驱动的表征和加速
Julien Luzzatto1,2, Feliks Nüske3, Nicolas G Hadjiconstantinou2,4
1Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, United States.
Journal of chemical theory and computation
|March 16, 2026
概括
本研究介绍了一种吸收的库普曼运算符方法来分析元稳定动态. 它准确地从短轨迹数据中量化系统放松和逃逸行为,从而实现更长的模拟.
科学领域:
- 计算物理 计算物理
- 化学物理 化学物理
- 动态系统理论 动态系统理论
背景情况:
- 许多物理和生物系统表现出超稳定动态,涉及长期的稳定,随后是快速的过渡.
- 准确量化局部放松和第一次逃脱时间对于模拟这些系统的长期动态至关重要.
研究的目的:
- 扩展数据驱动的库普曼运算子方法来分析元稳定动态.
- 为了提高准确性,将准静止分布 (QSD) 和吸收边界条件纳入.
主要方法:
- 通过对元稳态强制执行吸收边界条件,开发了一种吸收的库普曼配方.
- 应用数据驱动的技术,以从短轨迹数据中估计库普曼运算符.
主要成果:
- 吸收的库普曼配方可靠地恢复了调节放松和逃逸的光谱特性.
- 仅使用短轨迹数据证明了准确的估计.
结论:
- 拟议的方法为分析复杂的超稳定系统提供了一种强大的方法.
- 将光谱估计与时间平行模拟方案相结合,可以显著扩展可访问的模拟时间表.
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