46
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Statistical mechanics approach to inhomogeneous van der Waals fluids

Pages 1165-1177 | Received 01 Jun 2006, Accepted 01 Oct 2006, Published online: 11 Jan 2007

References

  • Henderson , D. 1992 . Fundamentals of Inhomogeneous Fluids , New York : Marcel Dekker .
  • Burak , Y. and Orland , H. 2006 . Manning condensation in two dimensions . Phys. Rev. E , 73 : 010501(R)
  • Li , L. , Bedrov , D. and Smith , G.D. 2006 . Water-induced interactions between carbon nanoparticles . J. Phys. Chem. B , 110 : 10509
  • Su , Z. and Maroncelli , M. 2006 . Simulations of solvation free energies and solubilities in supercritical solvents . J. Chem. Phys. , 124 : 164506
  • Zhou , S. 2006 . Formalism for calculation of polymer-solvent-mediated potential . Phys. Rev. E , 74 : 011402
  • Zhou , S. and Jamnik , A. 2005 . Global and critical test of the perturbation density-functional theory based on extensive simulation of Lennard-Jones fluid near an interface and in confined systems . J. Chem. Phys. , 123 : 124708
  • Varga , S. , Boda , D. , Henderson , D. and Sokolowski , S. 2000 . Density functional theory and the capillary evaporation of a liquid in a slit . J. Colloid and Interface Sci. , 227 : 223
  • Tang , Z. , Scriven , L.E. and Davis , H.T. 1991 . Density-functional perturbation theory of inhomogeneous simple fluids . J. Chem. Phys. , 95 : 2659
  • Zhou , S. 2003 . Partitioned density functional approach for Lennard-Jones fluid . Phys. Rev. E , 68 : 061201
  • Tang , Y. and Wu , J. 2004 . Modeling inhomogeneous van der Waals fluids using an analytical direct correlation function . Phys. Rev. E , 70 : 011201
  • Zeng , X.C. and Oxtoby , Dw. 1990 . Applications of modified weighted density functional theory: freezing of simple liquids . J. Chem. Phys. , 93 : 2692
  • Zhou , S. 2004 . Formally exact truncated nonuniform excess Helmholtz free energy density functional: test and application . J. Phys. Chem. B , 108 : 3017
  • Zhou , S. 2001 . Reformulation of density functional theory for generation of the nonuniform density distribution . Phys. Rev. E , 63 : 061206
  • Martynov , G.A. 1992 . Fundamental Theory of Liquids. Method of Distribution Functions , Bristol : Adam Hilger .
  • Verlet , L. 1980 . Integral-equations for classical fluids .1. The hard-sphere case . Mol. Phys. , 41 : 183
  • Duh , D-M. and Haymet , A.D.J. 1995 . Integral equation theory for uncharged liquids: the Lennard-Jones fluid and the bridge function . J. Chem. Phys. , 103 : 2625
  • Ancilotto , F. and Toigo , F. 2000 . First-order wetting transitions of neon on solid CO2 from density functional calculations . J. Chem. Phys. , 112 : 4768
  • Balabanic , C. , Borstnik , B. , Milcic , R. , Rubcic , A. and Sokolic , F. 1989 . “ Static and dynamic properties of liquids ” . In Springer Proceedings in Physics , Edited by: Davidovic , M. and Soper , A.K. Vol. 40 , 70 Berlin : Springer .
  • Johnson , J.K. , Zollweg , J.A. and Gubbins , K.E. 1993 . The Lennard-Jones equation of state revisited . Mol. Phys. , 78 : 591
  • Verlet , L. and Weis , J.-J. 1972 . Equilibrium theory of simple liquids . Phys. Rev. A , 5 : 939
  • Rosenfeld , Y. 1989 . Free-energy model for the inhomogeneous hard-sphere fluid mixture and density-functional theory of freezing . Phys. Rev. Lett. , 63 : 980
  • Zhou , S. 2005 . Isostructural solid–solid transitions in binary asymmetrical hard sphere system: based on solvent-mediated potential . J. Colloid and Interface Sci. , 288 : 308
  • Ortega , J.M. and Rheinboldt , W.C. 1970 . “ Chapter 7 ” . In Iterative Solution of Nonlinear Equations in Several Variables , Academic Press .
  • Broyles , A.A. 1960 . Radial distribution functions from the Born-Green integral equation . J. Chem. Phys. , 33 : 456
  • Labik , S. , Malijevsky , A. and Vonka , P. 1985 . A rapidly convergent method of solving the OZ equation . Mole. Phys. , 56 : 709
  • Wertheim , M.S. 1963 . Exact solution of the Percus-Yevick integral equation for hard spheres . Phys. Rev. Lett. , 10 : 321
  • Press , W.H. , Flannery , B.P. , Teukolsky , S.A. and Vetterling , W.T. 1986 . Numerical Recipes , New York : Cambridge University .
  • Broyden , C. 1969 . A new method of solving nonlinear simultaneous equations . Comput. J. , 12 : 95

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.