Critical effects and scaling at meniscus osculation transition

0564225 - ÚCHP 2023 RIV US eng J - Článek v odborném periodiku
Parry, A.O. - Pospíšil, Martin - Malijevský, Alexandr
Critical effects and scaling at meniscus osculation transition.
Physical Review E. Roč. 106, č. 5 (2022), č. článku 054802. ISSN 2470-0045. E-ISSN 2470-0053
Grant CEP: GA ČR(CZ) GA20-14547S
Institucionální podpora: RVO:67985858
Klíčová slova: adsorption * interface * fluids
Obor OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impakt faktor: 2.4, rok: 2022
Způsob publikování: Omezený přístup

We propose a simple scaling theory describing critical effects at rounded meniscus osculation transitions which occur when the Laplace radius of a condensed macroscopic drop of liquid coincides with the local radius of curvature Rw in a confining parabolic geometry. We argue that the exponent βosc characterizing the scale of the interfacial height 0 ∝ Rβosc w at osculation, for large Rw, falls into two regimes representing fluctuation-dominated and mean-field-like behavior, respectively. These two regimes are separated by an upper critical dimension, which is determined here explicitly and depends on the range of the intermolecular forces. In the fluctuation-dominated regime, representing the universality class of systems with short-range forces, the
exponent is related to the value of the interfacial wandering exponent ζ by βosc = 3ζ/(4 − ζ ). In contrast, in the mean-field regime, which was not previously identified and which occurs for systems with longer-range forces (and higher dimensions), the exponent βosc takes the same value as the exponent βcos for complete wetting, which is determined directly by the intermolecular forces. The prediction βosc = 3/7 in d = 2 for systems with short-range forces (corresponding to ζ = 1/2) is confirmed using an interfacial Hamiltonian model which determines the exact scaling form for the decay of the interfacial height probability distribution function. A numerical study in d = 3, based on a microscopic model density-functional theory, determines that
βosc ≈ βcos ≈ 0.326 close to the predicted value of 1/3 appropriate to the mean-field regime for dispersion forces
Trvalý link: https://hdl.handle.net/11104/0335935