Derivation of a non-local interfacial model for 3D wetting in an external field

Bernardino, N. R.; Parry, A. O.; Rascón, C.; Romero-Enrique, J. M.

doi:10.1088/0953-8984/21/46/465105

Cited by 21 publications

(50 citation statements)

References 21 publications

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“…Furthermore, thermal fluctuation effects on short-range critical wetting were not observed. This is consistent with the current insight that these effects are expected to show up only extremely close to the transition point [18].…”

Section: B Second-order Wettingsupporting

confidence: 92%

Wetting transitions of continuously varying or infinite order from a mean-field density-functional theory

Koga¹,

Indekeu²,

Widom³

2011

Molecular Physics

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Section: B Second-order Wettingsupporting

confidence: 92%

Wetting transitions of continuously varying or infinite order from a mean-field density-functional theory

Koga¹,

Indekeu²,

Widom³

2011

Molecular Physics

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“…The relevance of nonlocal effects on the density profile of rough interfaces has been emphasized at length by Parry and collaborators 38,41,47,60 . Such effects are particularly important in the study of short range critical wetting, where the external field is zero at all distances beyond the bulk correlation length.…”

Section: B Non-localitymentioning

confidence: 99%

Capillary wave theory of adsorbed liquid films and the structure of the liquid-vapor interface

MacDowell

2017

Phys. Rev. E

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In this paper we try to work out in detail the implications of a microscopic theory for capillary waves under the assumption that the density is given along lines normal to the interface. Within this approximation, which may be justified in terms of symmetry arguments, the Fisk-Widom scaling of the density profile holds for frozen realizations of the interface profile. Upon thermal averaging of capillary wave fluctuations, the resulting density profile yields results consistent with renormalization group calculations in the one-loop approximation. The thermal average over capillary waves may be expressed in terms of a modified convolution approximation where normals to the interface are Gaussian distributed. In the absence of an external field we show that the phenomenological density profile applied to the square-gradient free energy functional recovers the capillary wave Hamiltonian exactly. We extend the theory to the case of liquid films adsorbed on a substrate. For systems with short-range forces, we recover an effective interface Hamiltonian with a film height dependent surface tension that stems from the distortion of the liquid-vapor interface by the substrate, in agreement with the Fisher-Jin theory of short-range wetting. In the presence of long-range interactions, the surface tension picks up an explicit dependence on the external field and recovers the wave vector dependent logarithmic contribution observed by Napiorkowski and Dietrich. Using an error function for the intrinsic density profile, we obtain closed expressions for the surface tension and the interface width. We show the external field contribution to the surface tension may be given in terms of the film's disjoining pressure. From literature values of the Hamaker constant, it is found that the fluid-substrate forces may be able to double the surface tension for films in the nanometer range. The film height dependence of the surface tension described here is in full agreement with results of the capillary wave spectrum obtained recently in computer simulations, and the predicted translation mode of surface fluctuations reproduces to linear order in field strength an exact solution of the density correlation function for the Landau-Ginzburg-Wilson Hamiltonian in an external field.

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“…This is in agreement with the densityfunctional analysis for any system with truncated or shortrange interactions. Only for long-ranged interactions between the fluid molecules [24,25] or between the wall and the fluid [26,27] we expect that the asymptotic functional form of (ξ ) deviates from Eq. (4), but still it was surprising to observe that, in a realistic model with strong layering effects in the density profiles, the pure exponential decay could give such accurate representation of (ξ ), even for very thin films of just one or two molecular layers.…”

Section: Introductionmentioning

confidence: 96%

Mesoscopic Hamiltonian for the fluctuations of adsorbed Lennard-Jones liquid films

et al. 2015

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We use Monte Carlo simulations of a Lennard-Jones fluid adsorbed on a short-range planar wall substrate to study the fluctuations in the thickness of the wetting layer, and we get a quantitative and consistent characterization of their mesoscopic Hamiltonian, H [ξ ]. We have observed important finite-size effects, which were hampering the analysis of previous results obtained with smaller systems. The results presented here support an appealing simple functional form for H[ξ ], close but not exactly equal to the theoretical nonlocal proposal made on the basis a generic density-functional analysis by Parry and coworkers. We have analyzed systems under different wetting conditions, as a proof of principle for a method that provides a quantitative bridge between the molecular interactions and the phenomenology of wetting films at mesoscopic scales.

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Derivation of a non-local interfacial model for 3D wetting in an external field

Cited by 21 publications

References 21 publications

Wetting transitions of continuously varying or infinite order from a mean-field density-functional theory

Wetting transitions of continuously varying or infinite order from a mean-field density-functional theory

Capillary wave theory of adsorbed liquid films and the structure of the liquid-vapor interface

Mesoscopic Hamiltonian for the fluctuations of adsorbed Lennard-Jones liquid films

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