In the paper, “Time & clocks: A thermodynamic approach” Lucia and Grisolia describe the connections between the physical nature of time and macroscopic irreversibility in thermodynamics. They also discuss the possibility of constructing a thermodynamic clock that links the two, through an approach based on the behaviour of a black body. Their work primarily focuses on the macroscopic irreversibilty, and their attempt to define ‘thermodynamic time’ is grounded on the concepts from non-equilibrium thermodynamics such as, entropy generation and time-dependent thermodynamic fluxes - in and out of the system. In this letter, we present a first principles approach based on the Maupertuis principle to describe the connection between time and thermodynamics for equilibrium phenomena. Our novel interpretation of the temperature as a functional allows us to extend our formalism to irreversible processes when the local equilibrium hypothesis is satisfied. Through our framework we also establish a functional relationship between equilibrium and non-equilibrium time-scales while distinguishing between the two.

Lucia和Grisolia在“时间与时钟：一种热力学方法”一文中描述了时间的物理性质与热力学中宏观不可逆性之间的联系。他们还讨论了通过基于黑体行为的方法构造连接两者的热力学时钟的可能性。他们的工作主要集中在宏观不可逆性上，他们定义“热力学时间”的尝试基于非平衡热力学的概念，例如熵的产生和与时间有关的热力学通量（流入和流出系统）。在这封信中，我们提出了一种基于毛珀瑞斯原理的第一原理方法，来描述时间与热力学之间的平衡现象。当满足局部平衡假设时，我们对温度作为函数的新颖解释使我们可以将形式主义扩展到不可逆过程。通过我们的框架，我们还可以在平衡和非平衡时标之间建立函数关系，同时区分两者。