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

Koga, Kenichiro; Indekeu, Joseph; Widom, B.

doi:10.1080/00268976.2011.556095

Cited by 5 publications

(26 citation statements)

References 25 publications

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“…Wetting and interfacial phenomena are dominated by the rich interplay between intermolecular forces and the fluctuation effects associated with thermal noise and interfacial capillary waves [8][9][10][11][12]. These lead to a very rich picture of possible surface phase behaviour occurring over different length-scales, that call for cross-disciplinary fundamental investigations.…”

Section: Introductionmentioning

confidence: 99%

Classical density functional study of wetting transitions on nanopatterned surfaces

Yatsyshin

Parry

Rascón

et al. 2017

J. Phys.: Condens. Matter

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Abstract.Even simple fluids on simple substrates can exhibit very rich surface phase behaviour. To illustrate this, we consider fluid adsorption on a planar wall chemically patterned with a deep stripe of a different material. In this system, two phase transitions compete: unbending and pre-wetting. Using microscopic density-functional theory, we show that, for thin stripes, the lines of these two phase transitions may merge, leading to a new two-dimensional-like wetting transition occurring along the walls. The influence of intermolecular forces and interfacial fluctuations on this phase transition and at complete pre-wetting are considered in detail.

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Section: Introductionmentioning

confidence: 99%

Classical density functional study of wetting transitions on nanopatterned surfaces

Yatsyshin

Parry

Rascón

et al. 2017

J. Phys.: Condens. Matter

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“…In recent work [1,2] wetting transitions of infinite order were uncovered in a mean-field density functional theory (DFT) for systems with short-range forces and with a two-component order parameter. Although infinite-order wetting transitions were known to show up in certain fluctuation regimes studied using functional renormalization group (RG) theory for wetting or related methods [3][4][5][6][7][8], it was a surprise that they can appear prominently already at mean-field level.…”

Section: Introductionmentioning

confidence: 99%

“…Although infinite-order wetting transitions were known to show up in certain fluctuation regimes studied using functional renormalization group (RG) theory for wetting or related methods [3][4][5][6][7][8], it was a surprise that they can appear prominently already at mean-field level. A revisitation of a variety of early DFT's for wetting [9,10] has led to the conclusion [2] that segments of infinite-order wetting transitions must be fairly ubiquitous, but have apparently long been overlooked, in models with a multi-component order parameter. These segments typically connect a regime of first-order wetting to one of critical wetting with continuously varying (non-universal) critical exponents.…”

Section: Introductionmentioning

confidence: 99%

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Renormalization group calculations for wetting transitions of infinite order and continuously varying order: Local interface Hamiltonian approach

et al. 2013

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We study the effect of thermal fluctuations on the wetting phase transitions of infinite order and of continuously varying order, recently discovered within a mean-field density-functional model for three-phase equilibria in systems with short-range forces and a two-component order parameter. Using linear functional renormalization group calculations within a local interface Hamiltonian approach, we show that the infinite-order transitions are robust. The exponential singularity (implying 2-α(s)=∞) of the surface free energy excess at infinite-order wetting as well as the precise algebraic divergence (with β(s)=-1) of the wetting layer thickness are not modified as long as ω<2, with ω the dimensionless wetting parameter that measures the strength of thermal fluctuations. The interface width diverges algebraically and universally (with ν([perpendicular])=1/2). In contrast, the nonuniversal critical wetting transitions of finite but continuously varying order are modified when thermal fluctuations are taken into account, in line with predictions from earlier calculations on similar models displaying weak, intermediate, and strong fluctuation regimes.

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“…A spatially confined fluid can be characterised by an effective dimensionality which affects fluid-fluid interactions, correlations and fluctuations particularly when interfaces are formed. In addition external forces, such as those induced by the intermolecular interactions of the fluid with the confining walls, introduce new independent thermodynamic fields, and can lead, in accordance with the Gibbs phase rule, to a very rich phase behaviour [5][6][7]. In particular, it has been shown that fluids adsorbed at walls [8][9][10][11][12], in capillary pores and slits [13][14][15][16][17][18], and in more exotic, sculpted geometries [19][20][21][22][23][24] such as grooves [25][26][27][28][29][30] and wedges [31][32][33][34][35] can exhibit many new phase transitions, including wetting, prewetting, capillary condensation and filling.…”

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confidence: 99%

Complete prewetting

Yatsyshin¹,

Parry²,

Kalliadasis³

2016

J. Phys.: Condens. Matter

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Abstract. We study continuous interfacial transitions, analagous to two-dimensional complete wetting, associated with the first-order prewetting line, which can occur on steps, patterned walls, grooves and wedges, and which are sensitive to both the range of the intermolecular forces and interfacial fluctuation effects. These transitions compete with wetting, filling and condensation producing very rich phase diagrams even for relatively simple prototypical geometries. Using microscopic classical density functional theory to model systems with realistic Lennard-Jones fluid-fluid and fluidsubstrate intermolecular potentials, we compute mean-field fluid density profiles, adsorption isotherms and phase diagrams for a variety of confining geometries.

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

Cited by 5 publications

References 25 publications

Classical density functional study of wetting transitions on nanopatterned surfaces

Classical density functional study of wetting transitions on nanopatterned surfaces

Renormalization group calculations for wetting transitions of infinite order and continuously varying order: Local interface Hamiltonian approach

Complete prewetting

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