Critical effects and scaling at meniscus osculation transitions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F22%3A43924827" target="_blank" >RIV/60461373:22340/22:43924827 - isvavai.cz</a>

Výsledek na webu

<a href="https://journals.aps.org/pre/abstract/10.1103/PhysRevE.106.054802" target="_blank" >https://journals.aps.org/pre/abstract/10.1103/PhysRevE.106.054802</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevE.106.054802" target="_blank" >10.1103/PhysRevE.106.054802</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Critical effects and scaling at meniscus osculation transitions

Popis výsledku v původním jazyce

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 ℓ0 ∝ Rw^βosc 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 βs^co 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 ≈ βs^co ≈0.326 close to the predicted value of 1/3 appropriate to the mean-field regime for dispersion forces.

Název v anglickém jazyce

Critical effects and scaling at meniscus osculation transitions

Popis výsledku anglicky

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 ℓ0 ∝ Rw^βosc 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 βs^co 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 ≈ βs^co ≈0.326 close to the predicted value of 1/3 appropriate to the mean-field regime for dispersion forces.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10305 - Fluids and plasma physics (including surface physics)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

PHYSICAL REVIEW E

ISSN

2470-0045

e-ISSN

2470-0053

Svazek periodika

106

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

8

Strana od-do

054802

Kód UT WoS článku

000891636900013

EID výsledku v databázi Scopus

2-s2.0-85143896254