Finite-size effects on the behavior of the susceptibility in van der Waals films under $+,+$ boundary conditions

Abstract

We study critical point finite-size effects in the case of the susceptibility of a film in which interactions are characterized by a van der Waals-type power law tail. The geometry is appropriate to a slab-like system with two bounding surfaces. Boundary conditions are consistent with surfaces that both prefer the same phase in the low temperature, or broken symmetry, state. We take into account both interactions within the system and interactions between the constituents of the system and the material surrounding it. Specific predictions are made with respect to the behavior of a ${}^3$He and ${}^4$He films in the vicinity of their respective liquid-vapor critical points.

arXiv comment17 pages, revtex

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• Phase separation in a binary mixture confined between symmetric parallel plates: Capillary condensation transition near the bulk critical point
• Exact results for the behavior of the thermodynamic Casimir force in a model with a strong adsorption
• Finite-size effects in presence of gravity: The behavior of the susceptibility in ${}^{3}He$ and ${}^{4}He$ films near the liquid-vapor critical point
• Critical and near critical phase behaviour and interplay between the thermodynamic Casimir and van der Waals forces in confined non-polar fluid medium with competing surface and substrate potentials
• Sign change in the net force in sphere-plate and sphere-sphere systems immersed in nonpolar critical fluid due to the interplay between the critical Casimir and dispersion van der Waals forces
• Casimir Force in a Model with Strongly Adsorbing Competing Walls: Analytical Results