2016/06/30 by Ignacio Urrutia
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Bending #Classical mechanics #Curvature #Gaussian #Gaussian curvature #Geometry #Hard spheres #Inverse #Material Dynamics and Properties #Mathematical analysis #Mathematics #Order (exchange) #Phase Equilibria and Thermodynamics #Physics #Planar #Power series #Quantum mechanics #SPHERES #Series (stratigraphy) #Series expansion #Surface tension #Thermodynamics #Virial coefficient #Virial theorem #cond-mat.soft
paper · pdf · doi:10.1103/physreve.94.022149
published as Phys. Rev. E 94, 022149 (2016) · 10 pages, 5 figures and 1 table
arxiv created 2016/08/30 · openalex publication_date 2016/08/30 · arxiv updated 2016/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We use virial series to study the equilibrium properties of confined soft-spheres fluids interacting through the inverse-power potentials. The confinement is induced by hard walls with planar, spherical, and cylindrical shapes. We evaluate analytically the coefficients of order two in density of the wall-fluid surface tension γ and analyze the curvature contributions to the free energy. Emphasis is in bending and Gaussian rigidities, which are found analytically at order two in density. Their contribution to γ(R) and the accuracy of different truncation procedures to the low curvature expansion are discussed. Finally, several universal relations that apply to low-density fluids are analyzed.