Height of a liquid drop on a wetting stripe

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985858%3A_____%2F20%3A00536542" target="_blank" >RIV/67985858:_____/20:00536542 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/60461373:22340/20:43921602

Výsledek na webu

<a href="http://hdl.handle.net/11104/0314311" target="_blank" >http://hdl.handle.net/11104/0314311</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevE.102.052802" target="_blank" >10.1103/PhysRevE.102.052802</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Height of a liquid drop on a wetting stripe

Popis výsledku v původním jazyce

Adsorption of liquid on a planar wall decorated by a hydrophilic stripe of width L is considered. Under the condition that the wall is only partially wet (or dry) while the stripe tends to be wet completely, a liquid drop is formed above the stripe. The maximum height l(m)(delta mu) of the drop depends on the stripe width L and the chemical potential departure from saturation delta mu where it adopts the value l(0) = l(m)(0). Assuming a long-range potential of van der Waals type exerted by the stripe, the interfacial Hamiltonian model is used to show that l(0) is approached linearly with delta mu with a slope which scales as L-2 over the region satisfying L less than or similar to xi(parallel to), where xi(parallel to) is the parallel correlation function pertinent to the stripe. This suggests that near the saturation there exists a universal curve l(m)(delta mu) to which the adsorption isotherms corresponding to different values of L all collapse when appropriately rescaled. Although the series expansion based on the interfacial Hamiltonian model can be formed by considering higher order terms, a more appropriate approximation in the form of a rational function based on scaling arguments is proposed. The approximation is based on exact asymptotic results, namely, that l(m) similar to delta mu(-1/3) for L -> infinity and that ?m obeys the correct delta mu -> 0 behavior in line with the results of the interfacial Hamiltonian model. All the predictions are verified by the comparison with a microscopic density functional theory (DFT) and, in particular, the rational function approximation-even in its simplest form-is shown to be in a very reasonable agreement with DFT for a broad range of both S mu and L.

Název v anglickém jazyce

Height of a liquid drop on a wetting stripe

Popis výsledku anglicky

Adsorption of liquid on a planar wall decorated by a hydrophilic stripe of width L is considered. Under the condition that the wall is only partially wet (or dry) while the stripe tends to be wet completely, a liquid drop is formed above the stripe. The maximum height l(m)(delta mu) of the drop depends on the stripe width L and the chemical potential departure from saturation delta mu where it adopts the value l(0) = l(m)(0). Assuming a long-range potential of van der Waals type exerted by the stripe, the interfacial Hamiltonian model is used to show that l(0) is approached linearly with delta mu with a slope which scales as L-2 over the region satisfying L less than or similar to xi(parallel to), where xi(parallel to) is the parallel correlation function pertinent to the stripe. This suggests that near the saturation there exists a universal curve l(m)(delta mu) to which the adsorption isotherms corresponding to different values of L all collapse when appropriately rescaled. Although the series expansion based on the interfacial Hamiltonian model can be formed by considering higher order terms, a more appropriate approximation in the form of a rational function based on scaling arguments is proposed. The approximation is based on exact asymptotic results, namely, that l(m) similar to delta mu(-1/3) for L -> infinity and that ?m obeys the correct delta mu -> 0 behavior in line with the results of the interfacial Hamiltonian model. All the predictions are verified by the comparison with a microscopic density functional theory (DFT) and, in particular, the rational function approximation-even in its simplest form-is shown to be in a very reasonable agreement with DFT for a broad range of both S mu and L.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10403 - Physical chemistry

Projekt

<a href="/cs/project/GA20-14547S" target="_blank" >GA20-14547S: Povrchové a kritické jevy v nano-strukturovaném prostředí</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

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

—

Svazek periodika

102

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

9

Strana od-do

052802

Kód UT WoS článku

000594838300013

EID výsledku v databázi Scopus

2-s2.0-85097583640