不平衡过程的波动定理和热力学不等式在随机时间停止
Haoran Yang1,2, Hao Ge1,3
1Beijing International Center for Mathematical Research (BICMR), Peking University, Beijing 100871, People's Republic of China.
Physical review. E
|December 20, 2023
概括
我们为随机停止的不平衡过程开发了新的波动定理. 这些停止时间波动定理提供了比传统方法更强大的热力学不等式.
科学领域:
- 热力学是一种热力学.
- 统计力学 统计力学
- 非线性动力学是一种非线性动力学.
背景情况:
- 了解远离平衡的系统的热力学是至关重要的.
- 传统的波动定理适用于有固定观测时间的系统.
研究的目的:
- 为了将波动定理扩展到一般的不平衡过程,在随机时间停止.
- 开发一个全面的框架来分析这些系统中的热力学函数.
主要方法:
- 为热力学函数构建类似波动定理的马丁加尔.
- 对于随机停止时间来说,导出第二定律类不等式.
- 使用生成,自由能量消散和消散工作进行数值验证.
主要成果:
- 由此得出了一个停止时间波动定理家族.
- 与确定性相比,随机停止时间获得了更强的热力学不等式.
- 普遍的平等和不平等被证明对任意停止策略是有效的.
结论:
- 拟议的框架提供了对非平衡热力学基本原理的更深入的见解.
- 结果提供了分析随机观测周期的系统中的热力学量的一种通用方法.
- 这项工作为研究复杂的随机过程奠定了坚实的理论基础.
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