截图的时间解析统计作为无模型值估计器的一般框架
Jann van der Meer1, Julius Degünther1, Udo Seifert1
1II. Institut für Theoretische Physik, Universität Stuttgart, 70550 Stuttgart, Germany.
Physical review letters
|July 7, 2023
概括
我们提出了一个新的框架来估计产量,这是不可逆转性的衡量标准. 该方法使用时间解析的事件统计数据,甚至是时间对称的事件,以推断这个关键热力学量的下限.
科学领域:
- 热力学是一种热力学.
- 统计力学 统计力学
- 非平衡系统 非平衡系统
背景情况:
- 物理系统中的不可逆性通常使用生成量来量化.
- 传统方法依赖于测量时间反对称的可观测物,如电流,以估计产量.
- 当只有时间对称事件可观测时,在量化不可逆性时存在一个限制.
研究的目的:
- 引入一个一般的框架来推断的生产的下界.
- 为了能够使用任何时间逆向对称的事件的时间解析统计数据来估计产量.
- 提供一种可访问的方法来量化超越传统电流测量的不可逆性.
主要方法:
- 开发了一个基于时间解决事件统计的一般框架.
- 引入了适用于特定事件的弱化马可维主义定义.
- 利用了马科维事件之间的系统轨迹片段和一般化的详细平衡关系.
主要成果:
- 建立了一种方法,从任何类型的事件统计数据中推断出产生的下限.
- 证明了时间对称的瞬间事件可以用于产量估计.
- 为削弱的马尔科夫属性提供了一个操作上可访问的标准.
结论:
- 拟议的框架为量化不可逆性提供了一种多功能方法.
- 这种方法扩大了可测量可观测的范围,用于产量估计.
- 特定事件的马科维性概念简化了复杂轨迹的分析.
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