论文标题
临界干燥附近液体的波动度量
Measures of Fluctuations for a Liquid Near Critical Drying
论文作者
论文摘要
我们研究了靠近溶检测底物的液体中的密度波动,在该液体上发生了临界干燥过渡。使用经典密度功能理论,我们确定了波动的空间范围和强度的三个措施,即局部可压缩$χ_μ(z)$,局部热敏感性$χ_t(z)$和降低的密度$χ_*(z)$; $ z $是距基板的距离。虽然第一个措施经常使用,但第二和第三个措施最近是由Eckert et.al.,Phys引入的。莱特牧师。 125,268004(2020)。对于临界干燥制度中的状态点,所有三个度量均以其大容量的比例缩放,表现出非常相似的形式,$χ_t(z)$与$χ_μ(z)$的比率为vapour-liquid过渡区域中的固定$ z $的比率是恒定的。使用表面热力学的缩放处理,我们表明,这种行为应一般为由。
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.