A double well type Helmholtz free energy density functional and a model density profile for a two phase vapor-liquid system are used to obtain the size-dependent interfacial properties of the vapor-liquid interface at coexistence condition along the lines of van der Waals and Cahn and Hilliard density functional formalism of the interface. The surface tension, temperature-density curve, density profile, and thickness of the interface of Lennard-Jones fluid droplet-vapor equilibrium, as predicted in this work are reported. The planar interfacial properties, obtained from consideration of large radius of the liquid drop, are in good agreement with the results of other earlier theories and experiments. The same free energy model has been tested by solving the equations numerically, and the results compare well with those from the use of model density profile.
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28 September 2011
Research Article|
September 29 2011
Density functional theory of size-dependent surface tension of Lennard-Jones fluid droplets using a double well type Helmholtz free energy functional
Satinath Ghosh;
Satinath Ghosh
1Research Reactor Services Division,
Bhabha Atomic Research Centre
, Trombay, Mumbai-400085, India
and Homi Bhabha National Institute
, Mumbai, India
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Swapan K. Ghosh
Swapan K. Ghosh
a)
2Theoretical Chemistry Section,
Bhabha Atomic Research Centre
, Trombay, Mumbai-400085, India
and Homi Bhabha National Institute
, Mumbai, India
Search for other works by this author on:
a)
Electronic mail: skghosh@barc.gov.in.
J. Chem. Phys. 135, 124710 (2011)
Article history
Received:
March 22 2011
Accepted:
August 16 2011
Citation
Satinath Ghosh, Swapan K. Ghosh; Density functional theory of size-dependent surface tension of Lennard-Jones fluid droplets using a double well type Helmholtz free energy functional. J. Chem. Phys. 28 September 2011; 135 (12): 124710. https://doi.org/10.1063/1.3633475
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