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

Abstract

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 $\gamma$ 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 $\gamma (R)$ 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.

10 pages, 5 figures and 1 table

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Cited by in corpus (1)

• Generalization of the Wall Theorem to Out-of-equilibrium Conditions