Wetting and drying transitions in mean-field theory: Describing the surface parameters for the theory of Nakanishi and Fisher in terms of a microscopic model

Kuipers, Joris; Blokhuis, Edgar M.

doi:10.1063/1.3184613

Cited by 9 publications

(5 citation statements)

References 27 publications

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“…Equations ( A1) and (A2) can be written as 2 1/4 / |h i | 1/2 = −0.5 ∓ ζ sd 0 + 0.5/r sd , with ∓ → − for i = 1 and ∓ → + for i = 2, from which one obtains Eqs. (31) and (32). Within this approximation the contributions of the two surfaces to the rescaling parameters are independent of each other.…”

Section: Perturbation Theory For the Critical Casimir Forcementioning

confidence: 98%

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Crossover of critical Casimir forces between different surface universality classes

2010

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In confined systems near a continuous phase transition the long-ranged fluctuations of the corresponding order parameter are subject to boundary conditions. These constraints result in so-called critical Casimir forces acting as effective forces on the confining surfaces. For systems belonging to the Ising bulk universality class corresponding to a scalar order parameter the critical Casimir force is studied for the film geometry in the crossover regime characterized by different surface fields at the two surfaces. The scaling function of the critical Casimir force is calculated within mean field theory. Within our approach, the scaling functions of the critical Casimir force and of the order parameter profile for finite surface fields can be mapped by rescaling, except for a narrow crossover regime, onto the corresponding scaling function of the so-called normal fixed point of strong surface fields. In the crossover regime, the critical Casimir force as function of temperature exhibits more than one extremum and for certain ranges of surface field strengths it changes sign twice upon varying temperature. Monte Carlo simulation data obtained for a three-dimensional Ising film show similar trends. The sign of the critical Casimir force can be inferred from the comparison of the order parameter profiles in the film and in the semi-infinite geometry.

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Section: Perturbation Theory For the Critical Casimir Forcementioning

confidence: 98%

“…[19,20,31] and Ref. [32]. In the latter, microscopic expressions for h 0 and c 0 are derived by using density functional theory.…”

Section: B Surface Universality Classesmentioning

confidence: 99%

Crossover of critical Casimir forces between different surface universality classes

2010

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“…The last term is the surface free energy expressed as the integration on the solid surface, where the second-order term of the form Mλ −1 e (n − n c ) 2 /2 is neglected [1]. Though it is negligible for very large |λ e | compared to the correlation length, it can give rise to complex surface transitions in general [7,42,43]. In the literature, the so-called surface field (usually written as h 1 ) is given by −γ .…”

Section: A Ginzburg-landau Modelmentioning

confidence: 99%

“…Using density functional theory, Kuipers and Blokhuis [43] recently obtained molecular expressions for the two surface parametes γ and λ e (h 1 and g in their notation), both of which sensitively influence the wetting and drying behavior.…”

Section: Summary and Remarksmentioning

confidence: 99%

Predrying transition on a hydrophobic surface: Statics and dynamics

Teshigawara

Ōnuki

2011

Phys. Rev. E

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For one-component fluids, we examine the predrying phase transition between a thin and thick low-density layer in liquid on a wall repelling the fluid. This is the case of a hydrophobic wall for water. A predrying line starts from the coexistence curve and ends at a surface critical point in the phase diagram. We calculate this line numerically using the van der Waals model and analytically using the free-energy expansion up to the quartic order. We also examine the predrying dynamics of a layer created on a hydrophobic spot on a heterogeneous wall. It is from a thin to thick layer during decompression and from a thick to thin layer during compression. Upon the transition, a liquid region above the film is cooled for decompression and heated for compression due to latent heat convection, and a small pressure pulse is emitted from the film into the liquid.

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“…The effect of the competition between Coulombic and dispersion interactions on the wetting properties of RTILs was addressed by Restolho et al 10 In this work, the authors performed experiments to determine the stability of wetting films of two ionic liquids, 1-octyl-3-methylimidazolium tetrafluoroborate ([C 8 There have been very few studies which consider the effect of temperature on the wetting properties of fluids within the common wetting regimes, namely, drying, partial wetting, and complete wetting. Theoretical studies employing DFT [12][13][14] predict that the contact angles for simple models of fluids increase with temperature for sufficiently weak substrate-fluid interaction strengths, whereas they decrease with temperature for relatively strong substrate strengths. Recently, Berim and Ruckenstein 15 used DFT and a model Lennard-Jones fluid on a structureless substrate to show that there is a narrow range of substrate-strengths where the reversal of the temperature dependence of the contact angle occurs.…”

Section: Introductionmentioning

confidence: 97%

Understanding the influence of Coulomb and dispersion interactions on the wetting behavior of ionic liquids

Rane

Errington

2014

The Journal of Chemical Physics

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We study the role of dispersion and electrostatic interactions in the wetting behavior of ionic liquids on non-ionic solid substrates. We consider a simple model of an ionic liquid consisting of spherical ions that interact via Lennard-Jones and Coulomb potentials. Bulk and interfacial properties are computed for five fluids distinguished by the strength of the electrostatic interaction relative to the dispersion interaction. We employ Monte Carlo simulations and an interface-potential-based approach to calculate the liquid-vapor and substrate-fluid interfacial properties. Surface tensions for each fluid are evaluated over a range of temperatures that spans from a reduced temperature of approximately 0.6 to the critical point. Contact angles are calculated at select temperatures over a range of substrate-fluid interaction strengths that spans from the near-drying regime to the wetting regime. We observe that an increase in the relative strength of Coulombic interactions between ions leads to increasing deviation from Guggenheim's corresponding states theory. We show how this deviation is related to lower values of liquid-vapor excess entropies observed for strongly ionic fluids. Our results show that the qualitative nature of wetting behavior is significantly influenced by the competition between dispersion and electrostatic interactions. We discuss the influence of electrostatic interactions on the nature of wetting and drying transitions and corresponding states like behavior observed for contact angles. For all of the fluids studied, we observe a relatively narrow range of substrate-fluid interaction strengths wherein the contact angle is nearly independent of temperature. The influence of the ionic nature of the fluid on the temperature dependence of contact angle is also discussed.

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Wetting and drying transitions in mean-field theory: Describing the surface parameters for the theory of Nakanishi and Fisher in terms of a microscopic model

Cited by 9 publications

References 27 publications

Crossover of critical Casimir forces between different surface universality classes

Crossover of critical Casimir forces between different surface universality classes

Predrying transition on a hydrophobic surface: Statics and dynamics

Understanding the influence of Coulomb and dispersion interactions on the wetting behavior of ionic liquids

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