Casimir amplitudes and capillary condensation of near-critical fluids between parallel plates: Renormalized local functional theory
arXiv:1110.2327 · doi:10.1063/1.3693331
Abstract
We investigate the critical behavior of a near-critical fluid confined between two parallel plates in contact with a reservoir by calculating the order parameter profile and the Casimir amplitudes (for the force density and for the grand potential). Our results are applicable to one-component fluids and binary mixtures. We assume that the walls absorb one of the fluid components selectively for binary mixtures. We propose a renormalized local functional theory accounting for the fluctuation effects. Analysis is performed in the plane of the temperature T and the order parameter in the reservoir ψ_{\infty} . Our theory is universal if the physical quantities are scaled appropriately. If the component favored by the walls is slightly poor in the reservoir, there appears a line of first-order phase transition of capillary condensation outside the bulk coexistence curve. The excess adsorp- tion changes discontinuously between condensed and noncondensed states at the transition. With increasing T, the transition line ends at a capillary critical point T = T_c^{ca} slightly lower than the bulk critical temperature T_c. The Casimir amplitudes are larger than their critical-point values by 10-100 times between the transition line and the bulk coexistence curve and slightly above the capillary critical point.
16pages, 16 figures, to appear in Journal of Chemical Physics
References in corpus (4)
Cited by in corpus (22)
- Collective behavior of colloids due to critical Casimir interactions
- Nonequilibrium critical Casimir interactions in binary fluids
- Critical Casimir Forces and Colloidal Phase Transitions in a Near-Critical Solvent : A Simple Model Reveals a Rich Phase Diagram
- Critical Casimir Effect: Exact Results
- Attractive interaction and bridging transition between neutral colloidal particles due to preferential adsorption in a near-critical binary mixture
- Critical adsorption and critical Casimir forces in the canonical ensemble
- Fluctuation Amplitude of a Trapped Rigid Sphere Immersed in a Near-Critical Binary Fluid Mixture within the Regime of the Gaussian Model
- Drag Coefficient of a Rigid Spherical Particle in a Near-Critical Binary Fluid Mixture beyond the Regime of the Gaussian Model
- Exact results for the temperature-field behavior of the Ginzburg-Landau Ising type mean-field model
- Critical Casimir forces along the iso-fields
- 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
- Critical adsorption profiles around a sphere and a cylinder in a fluid at criticality: Local functional theory
- Undulation Amplitude of a Fluid Membrane in a Near-Critical Binary Fluid Mixture Calculated beyond the Gaussian Model Supposing Weak Preferential Attraction
- 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
- Diffusiophoresis in a Near-critical Binary Fluid Mixture
- Isothermal transport of a near-critical binary fluid mixture through a capillary tube with the preferential adsorption
- Casimir Force in a Model with Strongly Adsorbing Competing Walls: Analytical Results
- Undulation Amplitude of a Fluid Membrane Surrounded by Near-Critical Binary Fluid Mixtures
- Manipulation and amplification of the Casimir force through surface fields using helicity
- Discontinuous change from thermally- to geometrically- dominated effective interactions in colloidal solutions
- Drag Coefficient in Near-Critical Binary Mixtures: Solving Hydrodynamic Fields with Improved Numerics