Isobaric Critical Exponents: Test of Analyticity Against NIST Reference Data

Frontiers in Physics

Park, Jeong-Hyuck¹  Cho, Wonyoung¹  Kim, Do-Hyun¹ 

[1] Department of Physics, Sogang University, South Korea

关键词: Isobaric Thermal Expansion Coefficient;    Critical point;    critical exponents;    Analyticity;    NIST tests;   

DOI  :  10.3389/fphy.2018.00112

学科分类：物理（综合）

来源: Frontiers

【 摘 要 】

Finite systems may undergo first or second order phase transitions under not isovolumetric but isobaric condition. The `analyticity' of a finite-system partition function has been argued to imply universal values for isobaric critical exponents, $\alpha_{{\scriptscriptstyle{P}}}$, $\beta_{{\scriptscriptstyle{P}}}$ and $\gamma_{{\scriptscriptstyle{P}}}$. Here we test this prediction by analyzing NIST REFPROP data for twenty major molecules, including $\mathrm{H_{2}O, CO_{2}, O_{2}}$, \textit{etc.} We report they are consistent with the prediction for temperature range, $10^{-5} T_{c}$, all the fluids seem to indicate the universal value of ${n=2}$.

【 授权许可】

CC BY