Wetting, adsorption and surface critical phenomena

Law, Bruce M.

doi:10.1016/s0079-6816(00)00025-3

Cited by 99 publications

(87 citation statements)

References 203 publications

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“…Numerical and experimental studies on the critical adsorption and the Casimir amplitudes have mostly been along this path in the literature 23,25,[27][28][29]32,42,56 .…”

Section: Results For T > Tcmentioning

confidence: 99%

“…The amplitudes ∆ and A depend on the reduced temperature τ = T /T c − 1 and the reservoir chemical potential difference µ ∞ . However, ∆ and A have been measured as functions of τ along the critical path µ ∞ = 0 [31][32][33] . In this paper, we calculate them in the τ -µ ∞ plane to find their dramatic enhancement near the capillary condensation line, where the reservoir composition is poor in the component favored by the walls.…”

Section: Introductionmentioning

confidence: 99%

“…Indeed, reversible aggregation of colloid particles have been observed close to the critical point at off-critical compositions [35][36][37][38][39] . On approaching the solvent criticality, this interaction becomes longranged and universal in the strong adsorption limit 16,32 . Recently, the near-critical colloid-wall interaction has been measured directly at the critical composition 40,41 .…”

Section: Introductionmentioning

confidence: 99%

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Casimir amplitudes and capillary condensation of near-critical fluids between parallel plates: Renormalized local functional theory

Okamoto

Ōnuki

2012

The Journal of Chemical Physics

120

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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∞. 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 adsorption changes discontinuously between condensed and noncondensed states at the transition. With increasing T , the transition line ends at a capillary critical point T = T ca c slightly lower than the bulk critical temperature Tc. The Casimir amplitudes are larger than their critical-point values by 10-100 times at off-critical compositions near the capillary condensation line.

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“…Numerical and experimental studies on the critical adsorption and the Casimir amplitudes have mostly been along this path in the literature 23,25,[27][28][29]32,42,56 .…”

Section: Results For T > Tcmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Casimir amplitudes and capillary condensation of near-critical fluids between parallel plates: Renormalized local functional theory

Okamoto

Ōnuki

2012

The Journal of Chemical Physics

120

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“…Theoretical predictions for surface criticality have been tested experimentally [5][6][7][8][9] and in simulations [10,11]. In particular, the grazing incidence of x-rays and neutrons [3] has become a standard tool for probing critical behavior near surfaces and interfaces [5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

“…The first order results can also be derived by means of the stress tensor in conjunction with a novel type of short distance expansion (see Appendix B), and hold quite generally for any critical system bounded by a surface with either (a) Dirichlet boundary conditions Φ = 0, or (b) boundary conditions that break the symmetry of the order parameter near the surface. In the latter case, the leading singular behavior can be obtained by setting Φ = ∞ at the surface, corresponding to the extraordinary or normal surface universality class, describing critical adsorption of a binary liquid mixture on the surface of a substrate or the interface between the critical liquid and its noncritical vapor [1,2,9]. The second order results are particularly useful for cases in which the first order contributions vanish (see below).…”

Section: Introductionmentioning

confidence: 99%

Correlation functions near modulated and rough surfaces

Hanke

Kardar

2002

Phys. Rev. E

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In a system with long-ranged correlations, the behavior of correlation functions is sensitive to the presence of a boundary. We show that surface deformations strongly modify this behavior as compared to a flat surface.The modified near surface correlations can be measured by scattering probes.To determine these correlations, we develop a perturbative calculation in the deformations in height from a flat surface. Detailed results are given for a regularly patterned surface, as well as for a self-affinely rough surface with roughness exponent ζ. By combining this perturbative calculation in height deformations with the field-theoretic renormalization group approach, we also estimate the values of critical exponents governing the behavior of the decay of correlation functions near a self-affinely rough surface. We find that for the interacting theory, a large enough ζ can lead to novel surface critical behavior.We also provide scaling relations between roughness induced critical exponents for thermodynamic surface quantities.

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