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Path Between Thermodynamics States01:21

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A thermodynamic system is a set of objects whose thermodynamic properties are of interest. The system is considered to be embedded in its surroundings or the environment. The system and its environment can exchange heat and do work on each other through a boundary that separates them. However, the immediate surroundings of the system interact with it directly and therefore have a much stronger influence on its behavior and properties.
Consider an example of  tea boiling in a kettle. The...
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Maxwell's thermodynamic relations are very useful in solving problems in thermodynamics. Each of Maxwell's relations relates a partial differential between quantities that can be hard to measure experimentally to a partial differential between quantities that can be easily measured. These relations are a set of equations derivable from the symmetry of the second derivatives and the thermodynamic potentials.
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The Reynolds transport theorem provides a framework to relate the time rate of change of an extensive property within a system to that in a control volume, which is crucial for analyzing fluid dynamics. Extensive properties, such as mass, velocity, acceleration, temperature, and momentum, can be expressed in terms of the mass of a fluid portion. These properties are called extensive because they depend on the system's size, while intensive properties are their corresponding values per unit...
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Characterization of Thermal Transport in One-dimensional Solid Materials
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超越线性响应:热力学几何与最佳运输之间的等价性.

Adrianne Zhong1,2, Michael R DeWeese1,2,3

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此摘要是机器生成的。

驱动不平衡系统的最佳协议是摩擦张力的地测. 这项研究将热力学几何与最佳运输联系起来,使得能够计算出超越慢速驾驶极限的确切协议.

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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:

  • 热力学几何学为理解热力学状态空间的几何学提供了一个框架.
  • 众所周知,在缓慢驾驶极限中的最佳控制协议遵循摩擦张力的地质学.
  • 将这些最佳协议扩展到线性响应制度之外仍然是一个重大挑战.

研究的目的:

  • 为了证明热力学几何学和L^2最佳运输几何学之间的等价性,用于过度压缩的动力学.
  • 开发一种计算可处理的方法,以获得超越缓慢驾驶限制的最佳协议.
  • 以最佳的协议来解释观察到的现象,例如非单调的行为和不连续的跳跃.

主要方法:

  • 将热力学几何学等同为超系统的L^2最佳运输几何学.
  • 制定最佳协议作为摩擦张量地理学和反辩论术语的总和.
  • 使用费舍尔信息指标来定义反辩论术语.

主要成果:

  • 热力学几何学被证明相当于L^2对于过度减压动力学的最佳运输几何学.
  • 介绍了一种方法,用于计算超出缓慢驾驶极限的最佳协议,涉及地测道和反诊断校正.
  • 由此衍生出的地测-反卫星协议准确地描述了参数波潜力,并在双井系统中重现复杂的行为.

结论:

  • 热力学几何与最佳运输之间的联系为分析非平衡系统提供了强大的工具.
  • 开发的方法提供了一个计算可行的方法,用于在各种模式中找到最佳的驾驶协议.
  • 这项工作阐明了非单调性和最佳控制协议的突然变化的起源.