关于Helmholtz势度规：等温长功定理
On the Helmholtz Potential metric: The Isotherm Length-Work Theorem
摘要：
本文利用亥姆霍兹势度规和压力的摩尔体积倒数幂维里展开，导出了等温线长功定理。这个定理告诉我们，在这样一个度规下，由状态方程通过等温线的维里展开所描述的热力学系统的长度实际上是多少。我们也给出了明确的解决方案，沿等温线的热力学长度的情况下，第一，第二和第三级展开。
英文摘要：
In this paper we introduce the Isotherm Length-Work theorem using the Helmholtz potential metric and the virial expansion of pressure in inverse power of molar volume. The theorem tells us what length of a thermodynamical system described by equation of state through virial expansion along isotherms actually is with such a metric. We also give explicit solutions for thermodynamic length along isotherms in the case of first, second and third order expansion.
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。
