A patching model for surface tension of spherical droplet and Tolman length. II

T. V. Bykov, Xiao C Zeng

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

In the framework of density functional theory (DFT), two patching models for the density profile of spherical liquid droplet are developed. The patching is based on analytical expressions of the asymptote of the density profiles. The first model leads to analytic expressions of the Tolman length and the effective rigidity constant, from which the temperature dependence of the Tolman length and effective rigidity constant can be determined. The second model is developed particularly for small spherical droplets, from which the dependence of chemical potential and the surface tension of the droplet on the radius are obtained. The results are compared with numerical DFT calculations.

Original languageEnglish (US)
Pages (from-to)10602-10610
Number of pages9
JournalJournal of Chemical Physics
Volume111
Issue number23
DOIs
StatePublished - Dec 15 1999

Fingerprint

Surface tension
interfacial tension
rigidity
Rigidity
Density functional theory
density functional theory
asymptotes
Chemical potential
profiles
temperature dependence
radii
Liquids
liquids
Temperature

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

Cite this

A patching model for surface tension of spherical droplet and Tolman length. II. / Bykov, T. V.; Zeng, Xiao C.

In: Journal of Chemical Physics, Vol. 111, No. 23, 15.12.1999, p. 10602-10610.

Research output: Contribution to journalArticle

@article{e0aaaa3b79a440b6ad3d2d3d99ed880f,
title = "A patching model for surface tension of spherical droplet and Tolman length. II",
abstract = "In the framework of density functional theory (DFT), two patching models for the density profile of spherical liquid droplet are developed. The patching is based on analytical expressions of the asymptote of the density profiles. The first model leads to analytic expressions of the Tolman length and the effective rigidity constant, from which the temperature dependence of the Tolman length and effective rigidity constant can be determined. The second model is developed particularly for small spherical droplets, from which the dependence of chemical potential and the surface tension of the droplet on the radius are obtained. The results are compared with numerical DFT calculations.",
author = "Bykov, {T. V.} and Zeng, {Xiao C}",
year = "1999",
month = "12",
day = "15",
doi = "10.1063/1.480434",
language = "English (US)",
volume = "111",
pages = "10602--10610",
journal = "Journal of Chemical Physics",
issn = "0021-9606",
publisher = "American Institute of Physics Publising LLC",
number = "23",

}

TY - JOUR

T1 - A patching model for surface tension of spherical droplet and Tolman length. II

AU - Bykov, T. V.

AU - Zeng, Xiao C

PY - 1999/12/15

Y1 - 1999/12/15

N2 - In the framework of density functional theory (DFT), two patching models for the density profile of spherical liquid droplet are developed. The patching is based on analytical expressions of the asymptote of the density profiles. The first model leads to analytic expressions of the Tolman length and the effective rigidity constant, from which the temperature dependence of the Tolman length and effective rigidity constant can be determined. The second model is developed particularly for small spherical droplets, from which the dependence of chemical potential and the surface tension of the droplet on the radius are obtained. The results are compared with numerical DFT calculations.

AB - In the framework of density functional theory (DFT), two patching models for the density profile of spherical liquid droplet are developed. The patching is based on analytical expressions of the asymptote of the density profiles. The first model leads to analytic expressions of the Tolman length and the effective rigidity constant, from which the temperature dependence of the Tolman length and effective rigidity constant can be determined. The second model is developed particularly for small spherical droplets, from which the dependence of chemical potential and the surface tension of the droplet on the radius are obtained. The results are compared with numerical DFT calculations.

UR - http://www.scopus.com/inward/record.url?scp=0000702653&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000702653&partnerID=8YFLogxK

U2 - 10.1063/1.480434

DO - 10.1063/1.480434

M3 - Article

VL - 111

SP - 10602

EP - 10610

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 23

ER -