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

Indekeu, Joseph; Koga, Kenichiro; Hooyberghs, Hans; Parry, A. O.

doi:10.1103/physreve.88.022122

Cited by 4 publications

(4 citation statements)

References 26 publications

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“…We may add here that there are many ways to define a film thickness, all of which should lead to the same physics in equilibrium, provided the definitions and computational implementations are mathematically sound. An example of two types of criteria used for defining within one and the same physical density-functional model for a two-component order parameter may be found in [64,65].…”

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confidence: 99%

Interface potential and line tension for Bose-Einstein condensate mixtures near a hard wall

2022

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Within Gross-Pitaevskii (GP) theory we derive the interface potential V ( ) which describes the interaction between the interface separating two demixed Bose-condensed gases and an optical hard wall at a distance . Previous work revealed that this interaction gives rise to extraordinary wetting and prewetting phenomena. Calculations that explore nonequilibrium properties by using as a constraint provide a thorough explanation for this behavior. We find that at bulk two-phase coexistence, V ( ) for both complete wetting and partial wetting is monotonic with exponential decay. Remarkably, at the first-order wetting phase transition, V ( ) is independent of . This anomaly explains the infinite continuous degeneracy of the grand potential reported earlier. As a physical application, using V ( ) we study the three-phase contact line where the interface meets the wall under a contact angle θ. Employing an interface displacement model we calculate the structure of this inhomogeneity and its line tension τ . Contrary to what happens at a usual first-order wetting transition in systems with short-range forces, τ does not approach a nonzero positive constant for θ → 0, but instead approaches zero (from below) in the manner τ ∝ −θ as would be expected for a critical wetting transition. This hybrid character of τ is a consequence of the absence of a barrier in V ( ) at wetting. For a typical V ( ) = S exp(− /ξ ), with S the spreading coefficient and ξ a decay length, we conjecture that τ = −2 (1 − ln 2) γ ξ sin θ is exact within GP theory, with γ the interfacial tension and 0 θ π .

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Section: A Definitionmentioning

confidence: 99%

Interface potential and line tension for Bose-Einstein condensate mixtures near a hard wall

2022

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“…To account for the latter, an effective potential can be derived by tracing out small wavelength fluctuations [19,20]. This renormalized potential is then expressed as a convolution of the bare potential with the fluctuation probability distribution function [21]. The very same idea is applied in this work in order to obtain an effective probe-interface potential.…”

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“…The renormalized potential is thus obtained as a convolution of the original potential with the probability distribution of height fluctuations [21]. The point is that V (r, h) now includes information regarding the roughness of the fluctuating interface.…”

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Probing nanoscale deformations of a fluctuating interface

Bickel¹

2014

EPL

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Liquid-liquid interfaces PACS 68.03.Cd -Surface tension and related phenomena PACS 05.70.Np -Interface and surface thermodynamicsAbstract -We consider the contribution of thermal capillary waves to the interaction between a fluid-fluid interface and a nearby nanoparticle. Fluctuations are described thanks to an effective interaction potential which is derived using the renormalization group. The general theory is then applied to a spherical particle interacting with the interface through van der Waals forces. Surprisingly enough, we find that fluctuations contribute significantly to the deformation profile.Our study therefore reveals that thermal fluctuations cannot be ignored when probing nanoscale deformations of a soft interface.

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Interfacial tension and wall energy of a Bose–Einstein condensate binary mixture: Triple-parabola approximation

Deng

Schaeybroeck

Lin

et al. 2016

Physica A: Statistical Mechanics and its Applications

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Accurate and useful analytic approximations are developed for order parameter profiles and interfacial tensions of phase-separated binary mixtures of Bose-Einstein condensates. The pure condensates 1 and 2, each of which contains a particular species of atoms, feature healing lengths ξ 1 and ξ 2 . The inter-atomic interactions are repulsive. In particular, the effective inter-species repulsive interaction strength is K. A triple-parabola approximation (TPA) is proposed, to represent closely the energy density featured in Gross-Pitaevskii (GP) theory. This TPA allows us to define a model, which is a handy alternative to the full GP theory, while still possessing a simple analytic solution. The TPA offers a significant improvement over the recently introduced double-parabola approximation (DPA). In particular, a more accurate amplitude for the wall energy (of a single condensate) is derived and, importantly, a more correct expression for the interfacial tension (of two condensates) is obtained, which describes better its dependence on K in the strong segregation regime, while also the interface profiles undergo a qualitative improvement.

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

Cited by 4 publications

References 26 publications

Interface potential and line tension for Bose-Einstein condensate mixtures near a hard wall

Interface potential and line tension for Bose-Einstein condensate mixtures near a hard wall

Probing nanoscale deformations of a fluctuating interface

Interfacial tension and wall energy of a Bose–Einstein condensate binary mixture: Triple-parabola approximation

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