有限时间热力学:问题,方法和结果
Anatoly M Tsirlin1, Alexander I Balunov1,2, Ivan A Sukin1
1System Analysis Research Center, Ailamazyan Program Systems Institute of RAS, 152021 Pereslavl-Zalessky, Russia.
Entropy (Basel, Switzerland)
|June 26, 2025
概括
这项研究研究了有限时间热力学,引入了一个不可逆转性指数. 它概括了卡拉西奥多利定理,并证明了索引.
科学领域:
- 热力学是一种热力学.
- 经济系统分析 经济系统分析
背景情况:
- 有限时间热力学解决了经典平衡热力学的局限性.
- 了解系统效率和不可逆转性对于优化至关重要.
研究的目的:
- 分析有限时间热力学中的典型问题和解决方案.
- 调查最小消散和不可逆转指数的作用.
- 为循环过程概括卡拉西奥多里定理.
主要方法:
- 对有限时间热力学问题和方法的分析.
- 对最小消散过程和不可逆转指数属性的研究.
- 对于平均优化问题的卡拉西奥多里定理的概括.
主要成果:
- 在有限时间热力学中的一般特征和解决方案的表征.
- 证明最小消散和不可逆转指数的重要性.
- 为循环过程和最佳解决方案推导出了一个概括的卡拉西奥多里定理.
结论:
- 经济宏观系统的不可逆转性指数已被证明存在.
- 强调了热力学和经济系统之间的相似之处和差异.
- 这些发现提供了通过热力学原理优化复杂系统的见解.
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