Curvature dependence of the surface tension of liquid and vapor nuclei

Байдаков, В. Г.; Boltachev, G. Sh.

doi:10.1103/physreve.59.469

Cited by 77 publications

(49 citation statements)

References 14 publications

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“…Indeed, both the Tolman length and the effective rigidity constant have been used to obtain the curvature dependence of surface tension for large droplets. 12,16,22,6 …”

Section: Discussionmentioning

confidence: 99%

A patching model for surface tension and the Tolman length

Bykov¹,

Zeng²

1999

The Journal of Chemical Physics

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In the framework of density functional theory ͑DFT͒, a patching model for the density profile of the liquid-vapor interface is developed. The patching is based on analytical expressions of the asymptote of the density profiles. Derived from the model the surface tension of planar liquid-vapor interface as well as the Tolman length can be computed from analytic expressions. Two prototype systems are considered; the Yukawa and the Lennard-Jones. As a result, the temperature dependence of the surface tension as well as the Tolman length are obtained. The results are compared with numerical DFT calculations.

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“…Indeed, both the Tolman length and the effective rigidity constant have been used to obtain the curvature dependence of surface tension for large droplets. 12,16,22,6 …”

Section: Discussionmentioning

confidence: 99%

A patching model for surface tension and the Tolman length

Bykov¹,

Zeng²

1999

The Journal of Chemical Physics

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“…The dependence of the surface tensions of vapor bubbles and liquid droplets on the radius of curvature of the dividing surface is the subject of numerous theoretical (Baidakov and Boltachev 1999;Baidakov et al 2004;Blokhuis and Bedeaux 1992a;Blokhuis and Bedeaux 1992b;Gibbs 1948;Koenig 1950;Tolman 1949) and experimental (Barrett 2006;Fisher and Israelachvili 1979;Wingrave et al 1981) investigations. The various methods used to determine the size dependence of surface tension have not yet yielded definitive results for either the sign or magnitude of the variation.…”

Section: Surface Tension Size Dependencementioning

confidence: 99%

Effect of Surface Tension from MD Simulations on Size-Dependent Deliquescence of NaCl Nanoparticles

Bahadur

Russell

2008

Aerosol Science and Technology

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“…With this relation one expresses the work required for a reversible isothermal deformation of the system that leads to an infinitesimal increase of the surface area at constant volume, which coincides with the associated free energy difference. It is sufficient to compute either the normal or the tangential pressure profile, since both are related by [34,42] …”

Section: B the Mechanical Routementioning

confidence: 99%

Excess equimolar radius of liquid drops

et al. 2012

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The curvature dependence of the surface tension is related to the excess equimolar radius of liquid drops, i.e., the deviation of the equimolar radius from that defined with the macroscopic capillarity approximation. Based on the Tolman [J. Chem. Phys. 17, 333 (1949)] approach and its interpretation by Nijmeijer et al. [J. Chem. Phys. 96, 565 (1991)], the surface tension of spherical interfaces is analysed in terms of the pressure difference due to curvature. In the present study, the excess equimolar radius, which can be obtained directly from the density profile, is used instead of the Tolman length. Liquid drops of the truncated-shifted Lennard-Jones fluid are investigated by molecular dynamics simulation in the canonical ensemble, with equimolar radii ranging from 4 to 33 times the Lennard-Jones size parameter σ. In these simulations, the magnitudes of the excess equimolar radius and the Tolman length are shown to be smaller than σ/2. Other methodical approaches, from which mutually contradicting findings have been reported, are critically discussed, outlining possible sources of inaccuracy.

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Curvature dependence of the surface tension of liquid and vapor nuclei

Cited by 77 publications

References 14 publications

A patching model for surface tension and the Tolman length

A patching model for surface tension and the Tolman length

Effect of Surface Tension from MD Simulations on Size-Dependent Deliquescence of NaCl Nanoparticles

Excess equimolar radius of liquid drops

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