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arXiv 2203.11539cond-mat.stat-mech
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液体近临界干燥波动的测量

Measures of Fluctuations for a Liquid Near Critical Drying

Mary K. Coe, Robert Evans, Nigel B. Wilding

摘要:

我们调查密度波动的液体接近疏溶剂基板在表面临界干燥转变发生。利用经典的密度泛函理论,我们确定了涨落的空间范围和强度的三个度量,即,局部可压缩性$χ_μ(z)$、局部热敏感性$χ_T(z)$和折合密度$χ_*(z)$ ; $z$是距衬底的距离。虽然第一种方法经常使用,但第二种和第三种方法是最近由Eckert等人提出的,物理修订版信函125,268004(2020)。对于临界干燥制度的状态点,所有三个措施,每个规模由其散装值,表现出非常相似的形式和比例的$χ_T(z)$ $χ_μ(z)$,固定$z$在汽液过渡区,是恒定的。使用表面热力学的缩放处理,我们表明,这种行为是预期的一般理由。

英文摘要:

We investigate density fluctuations in a liquid close to a solvophobic substrate at which a surface critical drying transition occurs. Using classical density functional theory, we determine three measures of the spatial extent and strength of the fluctuations, i.e., the local compressibility $χ_μ(z)$, the local thermal susceptibility $χ_T(z)$ and the reduced density $χ_*(z)$; $z$ is the distance from the substrate. Whilst the first measure is frequently used, the second and third were introduced very recently by Eckert et.al., Phys. Rev. Lett. 125, 268004 (2020). For state points in the critical drying regime, all three measures, each scaled by its bulk value, exhibit very similar forms and the ratio of $χ_T(z)$ to $χ_μ(z)$, for fixed $z$ in the vapour-liquid transition region, is constant. Using a scaling treatment of surface thermodynamics we show that such behaviour is to be expected on general grounds.

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