Bending and Gaussian rigidities of confined soft spheres from second-order virial series

IGNACIO URRUTIA

PHYSICAL REVIEW E

AMER PHYSICAL SOC

Lugar: New York; Año: 2016 vol. 94 p. 22149 - 22158

1539-3755

/* Layout-provided Styles */div.abstract {font-size: small;margin-top: 0.7ex;margin-bottom: 0.7ex;margin-left: 3ex;margin-right: 3ex;text-align: left;}div.abstract_label {font-weight: bold;font-size: large;text-align: center;}div.abstract {margin: 4ex;}div.abstract_item {font-size: small;padding-top: 1ex;}div.abstract_label {font-weight: bold;}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.