Bryk P, Roth R, Mecke K R, Dietrich S
Department for the Modeling of Physico-Chemical Processes, Maria Curie-Skłodowska University, 20-031 Lublin, Poland.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Sep;68(3 Pt 1):031602. doi: 10.1103/PhysRevE.68.031602. Epub 2003 Sep 16.
The properties of a hard-sphere fluid in contact with hard-spherical and cylindrical walls are studied. Rosenfeld's density functional theory (DFT) is applied to determine the density profile and surface tension gamma for wide ranges of radii of the curved walls and densities of the hard-sphere fluid. Particular attention is paid to investigate the curvature dependence and the possible existence of a contribution to gamma which is proportional to the logarithm of the radius of curvature. Moreover, by treating the curved wall as a second component at infinite dilution, we provide an analytical expression for the surface tension of a hard-sphere fluid close to arbitrary hard convex walls. The agreement between the analytical expression and DFT is good. Our results show no signs for the existence of a logarithmic term in the curvature dependence of gamma.
研究了与硬球形和圆柱形壁接触的硬球流体的性质。应用罗森菲尔德密度泛函理论（DFT）来确定在广泛的弯曲壁半径和硬球流体密度范围内的密度分布和表面张力γ。特别关注研究曲率依赖性以及对γ可能存在的与曲率半径对数成比例的贡献。此外，通过将弯曲壁视为无限稀释下的第二组分，我们给出了硬球流体靠近任意硬凸壁时表面张力的解析表达式。解析表达式与DFT之间的一致性良好。我们的结果没有显示出γ的曲率依赖性中存在对数项的迹象。
