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

T. V. Bykov; X. C. Zeng

doi:10.1063/1.480434

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

T. V. Bykov, X. C. Zeng

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

39 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. © 1999 American Institute of Physics.

Original language	English
Pages (from-to)	10602-10610
Journal	Journal of Chemical Physics
Volume	111
Issue number	23
DOIs	https://doi.org/10.1063/1.480434
Publication status	Published - 15 Dec 1999
Externally published	Yes

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Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

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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. {\textcopyright} 1999 American Institute of Physics.",

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AU - Zeng, X. C.

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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. © 1999 American Institute of Physics.

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. © 1999 American Institute of Physics.

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DO - 10.1063/1.480434

M3 - RGC 21 - Publication in refereed journal

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SP - 10602

EP - 10610

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

IS - 23

ER -

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

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