二维热力学状态空间中的热力学长度
Thermodynamic length in a 2-D thermodynamic state space
摘要：
本文的主要目标是在两个自由度的热力学状态空间中得到热力学长度的一个明确的公式和可能的解释。利用一般形式的能量和熵度规，得到了等温线上热力学长度及其与功和声速的关系。我们也看看之间的关系的能量和熵度量的决定因素，并发现它们不同的一个因素的$T^{4}$。
英文摘要：
The main goal of this paper is to reach an explicit formulation and possible interpretation of thermodynamic length in a thermodynamic state space with two degrees of freedom. Using the energy and entropy metric in a general form, we get explicit results about thermodynamic length along isotherms, its relation with work and with speed of sound. We also look at the relation between the determinants of the energy and entropy metrics and find that they differ by a factor of $T^{4}$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
