Implications of interface conventions for morphometric thermodynamics

Abstract

Several model fluids in contact with planar, spherical, and cylindrical walls are investigated for small number densities within density functional theory. The dependence of the solid-fluid interfacial tension on the curvature of spherical and cylindrical walls is examined and compared with the corresponding expression derived within the framework of morphometric thermodynamics. Particular attention is paid to the implications of the choice of the interface location, which underlies the definition of the interfacial tension. We find that morphometric thermodynamics is never exact for the considered systems and that its quality as an approximation depends sensitively on the choice of the interface location.

References in corpus (6)

• Morphological Thermodynamics of Fluids: Shape Dependence of Free Energies
• Hard-Sphere Fluids in Contact with Curved Substrates
• Interfacial free energy of a hard-sphere fluid in contact with curved hard surfaces
• Bending rigidity and higher order curvature terms for the hard-sphere fluid near a curved wall
• The existence of a bending rigidity for a hard sphere liquid near a curved hard wall: Helfrich or Hadwiger?
• Fluids of rod-like particles near curved surfaces

Cited by in corpus (5)

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• Local pressure for confined systems
• Generalization of the Wall Theorem to Out-of-equilibrium Conditions
• Bending and Gaussian rigidities of confined soft spheres from second-order virial series