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arXiv 2207.08693cond-mat.stat-mech
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方阱流体的热力学几何观

The square-well fluid: a thermodynamic geometric view

J. L. López-Picón, L. F. Escamilla-Herrera, J. Torres-Arenas

摘要:

在热力学几何的框架下研究了具有硬球直径的方阱流体。共存和spinodal曲线,以及Widom线的范围$λ^{*} = 1.25, 1.5, 2.0, 3.0$为这种流体进行了仔细研究,使用几何方法。我们能够表明,不同于共存曲线,一个确切的结果可以给出沿所有的热力学空间和所有潜在的范围为spinodal曲线。此外,还计算了曲率标量极值点轨迹的$R$ -Widom线作为势能值域的函数,在临界点附近满足一类Clausius-Clapeyron方程.有人认为,这种关系可能是某种类型的特征相变时,跨越Widom线的边界的签名。

英文摘要:

The square-well fluid with hard-sphere diameters is studied within the framework of Thermodynamic Geometry (TG). Coexistence and spinodal curves, as well as the Widom line for ranges $λ^{*} = 1.25, 1.5, 2.0, 3.0$ for this fluid are carefully studied using geometric methods. We are able to show that, unlike coexistence curves, an exact result can be given along all the thermodynamic space and for all potential ranges for spinodal curves. Additionally, $R$-Widom line which is defined as the locus of extrema of the curvature scalar is calculated as a function of the potential range, satisfying near the critical point a kind of Clausius-Clapeyron equation. It is argued that this relation could be a signature of certain type of characteristic phase transition when crossing the boundary of the Widom line.

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。

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