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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 33, 1977 - Issue 1
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Original Articles

A fluid in contact with a wall

The Percus-Yevick versus the superposition approximation

Pages 75-81 | Received 04 Aug 1976, Published online: 22 Aug 2006

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Rolf Lustig, Carlos Vega & Jadran Vrabec$suffix/text()$suffix/text(). (2017) Special Issue of Molecular Physics in Honour of Professor Johann Fischer. Molecular Physics 115:9-12, pages 1015-1016.
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Lutful Bari Bhuiyan & Stanisław Lamperski. (2013) On the interfacial capacitance of an electrolyte at a metallic electrode around zero surface charge. Molecular Physics 111:6, pages 807-815.
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Christopher W. Outhwaite, Stanislaw Lamperski & Lutful Bari Bhuiyan. (2011) Influence of electrode polarization on the capacitance of an electric double layer at and around zero surface charge. Molecular Physics 109:1, pages 21-26.
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S. Lamperski, C.W. Outhwaite & L.B. Bhuiyan. (1996) A modified Poisson-Boltzmann analysis of the solvent primitive model electrical double layer. Molecular Physics 87:5, pages 1049-1061.
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A. Malijevský, R. Pospíšil, W.R. Smith & S. Labík. (1991) The Ornstein-Zernike equation for hard spheres near a hard wall. Molecular Physics 72:1, pages 199-213.
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Yaoqi Zhou & George Stell. (1989) Fluids inside a pore—an integral-equation approach. Molecular Physics 66:4, pages 767-789.
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J.M. D. Macelroy & S.-H. Suh. (1989) Simulation Studies of a Lennard-Jones Liquid in Micropores. Molecular Simulation 2:4-6, pages 313-351.
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Amal Lotfi & Johann Fischer. (1989) Chemical potentials of model and real dense fluid mixtures from perturbation theory and simulations. Molecular Physics 66:1, pages 199-219.
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V.Ya. Antonchenko, V.V. Ilyin, N.N. Makovsky & V.M. Khryapa. (1988) Short-range order in cylindrical liquid-filled micropores. Molecular Physics 65:5, pages 1171-1183.
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A. Patrykiejew, J. Penar & S. Sokołowski. (1987) The second and third surface virial coefficient for hard dumb-bells in contact with a hard wall. Molecular Physics 62:3, pages 785-792.
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Johann Fischer, Uwe Heinbuch & Martin Wendland. (1987) On the hard sphere plus attractive mean field approximation for inhomogeneous fluids. Molecular Physics 61:4, pages 953-961.
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J.P. Badiali. (1985) Structure of the dipolar hard sphere fluid near a neutral hard wall. Molecular Physics 55:4, pages 939-949.
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V.Ya. Antonchenko, V.V. Ilyin, N.N. Makovsky, A.N. Pavlov & V.P. Sokhan. (1984) On the nature of disjoining pressure oscillations in fluid films. Molecular Physics 52:2, pages 345-355.
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J.-P. Badiali & M.-E. Boudh-Hir. (1984) On the thermodynamics of hard spheres near a soft repulsive wall. Molecular Physics 51:6, pages 1449-1457.
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B. Borštink, D. Janežič & A. Ažman. (1981) Numerical behaviour of the solution of the BGYB equations for a fluid-rigid wall system. Molecular Physics 42:3, pages 721-731.
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Piotr Pierański, J. Małecki & K. Wojciechowski. (1980) A hard disc system ; solid-solid phase transition in a thin layer. Molecular Physics 40:1, pages 225-229.
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MalcolmJ. Grimson, Gerald Rickayzen & Peter Richmond. (1980) Short range solvation forces in fluids. Molecular Physics 39:1, pages 61-73.
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G. Navascués & P. Tarazona. (1979) Surface tension of hard sphere fluid near a wall. Molecular Physics 37:4, pages 1077-1087.
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S. Sokołowski & J. Stecki. (1978) Density profile of hard spheres interacting with a hard wall. Molecular Physics 35:5, pages 1483-1494.
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Johann Fischer. (1978) Fourth-order interaction of hard spheres with a hard wall. Molecular Physics 35:3, pages 897-899.
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Johann Fischer. (1977) Three-dimensional virial expansions in physical adsorption. Molecular Physics 34:5, pages 1237-1245.
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Articles from other publishers (43)

Andreas Härtel, David Richard & Thomas Speck. (2018) Three-body correlations and conditional forces in suspensions of active hard disks. Physical Review E 97:1.
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Lutful Bari Bhuiyan, Christopher W. Outhwaite & Douglas Henderson. (2011) A Monte Carlo Study of the Structure of a Planar Electric Double Layer Containing Asymmetric Electrolytes. Journal of Chemical & Engineering Data 56:12, pages 4556-4563.
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S. Lamperski, C. W. Outhwaite & L. B. Bhuiyan. (2010) The Electric Double-Layer Differential Capacitance at and near Zero Surface Charge for a Restricted Primitive Model Electrolyte. The Journal of Physical Chemistry B 114:8, pages 3075-3075.
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R. Tscheliessnig, W. Billes, J. Fischer, S. Sokołowski & O. Pizio. (2006) The role of fluid wall association on adsorption of chain molecules at functionalized surfaces: A density functional approach. The Journal of Chemical Physics 124:16, pages 164703.
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Themis Lazaridis. (1998) Inhomogeneous Fluid Approach to Solvation Thermodynamics. 2. Applications to Simple Fluids. The Journal of Physical Chemistry B 102:18, pages 3542-3550.
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Y. Mao, M.E. Cates & H.N.W. Lekkerkerker. (1995) Depletion force in colloidal systems. Physica A: Statistical Mechanics and its Applications 222:1-4, pages 10-24.
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Martin Schoen, Dennis J. Diestler & John H. Cushman. (1994) Stratification-induced order–disorder phase transitions in molecularly thin confined films. The Journal of Chemical Physics 101:8, pages 6865-6873.
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T. Getta & S. Dietrich. (1993) Bulk and interfacial wetting properties of binary liquid mixtures. Physical Review E 47:3, pages 1856-1875.
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Yaoqi Zhou & George Stell. (1990) Nonlocal integral-equation approximations. I. The zeroth order (hydrostatic) approximation with applications. The Journal of Chemical Physics 92:9, pages 5533-5543.
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Martin Werdland, Uwe Heinbuch & Johann Fischer. (1989) Adsorption of simple gas mixtures on a plane wall: Born-Green-Yvon for structure, adsorption isotherms and selectivity. Fluid Phase Equilibria 48, pages 259-277.
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Albert J Post. (1989) Solute partitioning between a micropore and a bulk solution: A linear density functional approach. Journal of Colloid and Interface Science 129:2, pages 451-460.
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Ronald Lovett. (1988) The constraint on the integral kernels of density functional theories which results from insisting that there be a unique solution for the density function. The Journal of Chemical Physics 88:12, pages 7739-7756.
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Lloyd L. Lee. 1988. Molecular Thermodynamics of Nonideal Fluids. Molecular Thermodynamics of Nonideal Fluids 423 461 .
Albert J Post & Eduardo D Glandt. (1985) Equilibrium partitioning in pores with adsorbing walls. Journal of Colloid and Interface Science 108:1, pages 31-45.
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. (1997) Pair correlation function in a fluid with density inhomogeneities: parametrization for hard spheres near a hard wall. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 400:1818, pages 163-174.
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K. Hillebrand & R.M. Nieminen. (1984) Structural properties of a nonuniform classical fluid near a solid substrate. Surface Science 147:2-3, pages 599-610.
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G. Navascués & R. Bragado. (1984) An approximation for the two particle distribution of a hard-sphere fluid near a hard wall at low densities. The Journal of Chemical Physics 81:2, pages 887-889.
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R. Bragado & G. Navascués. (1984) Hard spheres near a hard wall. A study of the virial approach using the superposition approximation. Physical Review A 29:4, pages 2134-2138.
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Brent D. Mitchell & William M. Deen. (1984) Theoretical effects of macromolecule concentration and charge on membrane rejection coefficients. Journal of Membrane Science 19:1, pages 75-100.
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Jerome K. Percus & G. O. Williams. (1983) The density profile of a fluid bounded by a soft wall. The Journal of Chemical Physics 79:6, pages 3009-3017.
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G. Navascues & R. Bragado. (1983) Thermodynamic properties of a hard-sphere fluid near a hard wall at low temperatures. Physical Review A 28:3, pages 1848-1851.
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Luis F. Rull & Søren Toxvaerd. (1983) The structure and thermodynamics of a solid–fluid interface. II. The Journal of Chemical Physics 78:6, pages 3273-3278.
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George W. WoodburyJr.Jr.. (1982) An approximate adsorption isotherm for physical adsorption. I. Lattice gas. The Journal of Chemical Physics 77:12, pages 6184-6188.
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John L. Anderson. (1982) Concentration effects on distribution of macromolecules in small pores. Advances in Colloid and Interface Science 16:1, pages 391-401.
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B. Jönsson. (1981) Monte carlo simulations of liquid water between two rigid walls. Chemical Physics Letters 82:3, pages 520-525.
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R. M. Nieminen & N. W. Ashcroft. (1981) Theory of inhomogeneous fluids. Physical Review A 24:1, pages 560-571.
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Peter A. Monson, William Steele & Douglas Henderson. (1981) Theory of monolayer physical adsorption. II. Fluid phases on a periodic surface. The Journal of Chemical Physics 74:11, pages 6431-6439.
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John L. Anderson & Judeth H. Brannon. (2003) Concentration dependence of the distribution coefficient for macromolecules in porous media. Journal of Polymer Science: Polymer Physics Edition 19:3, pages 405-421.
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Johann Fischer & Michael Methfessel. (1980) Born-Green-Yvon approach to the local densities of a fluid at interfaces. Physical Review A 22:6, pages 2836-2843.
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Eduardo D Glandt. (1980) Density distribution of hard—spherical molecules inside small pores of various shapes. Journal of Colloid and Interface Science 77:2, pages 512-524.
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Eric Dickinson & Moti Lal. (1980) The statistical mechanics of physical adsorption in condensed phases. Advances in Molecular Relaxation and Interaction Processes 17:1, pages 1-87.
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I. K. Snook & W. van Megen. (1980) Solvation forces in simple dense fluids. I. The Journal of Chemical Physics 72:5, pages 2907-2913.
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Linda S. Smith & Lloyd L. Lee. (1979) The Lennard-Jones 9:3 adsorptive system I: The Percus–Yevick and hypernetted chain theories and their modifications. The Journal of Chemical Physics 71:10, pages 4085-4094.
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J. E. Lane, T. H. Spurling, B. C. Freasier, J. W. Perram & E. R. Smith. (1979) Inconsistency of the density-functional theory of adsorption when using computer simulations. Physical Review A 20:5, pages 2147-2153.
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S. Sokołowski & L. Łajtar. (1979) A fluid in contact with a wall: The nonuniform Percus-Yevick and hypernetted chain equations. Physics Letters A 74:5, pages 329-331.
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G Navascues. (1979) Liquid surfaces: theory of surface tension. Reports on Progress in Physics 42:7, pages 1131-1186.
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Ian Snook & William van Megen. (1979) Structure of dense liquids at solid interfaces. The Journal of Chemical Physics 70:6, pages 3099-3105.
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W. F. Saam & C. Ebner. (1978) Classical fluid structure near solid substrates: A comparison of different theories. Physical Review A 17:5, pages 1768-1773.
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Stefan Sokołowski & Marek Kosmulski. (1978) A note on the Percus-Yevick and hypernetted chain theories of adsorption: The second and third virial coefficients for a hard-sphere gas in contact with a wall with a soft surface layer. Physics Letters A 66:3, pages 179-181.
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Johann Fischer. (1978) Physical adsorption at high pressures and high temperatures: The density profile of the gas. The Journal of Chemical Physics 68:8, pages 3947-3948.
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G. Navascués & P. Tarazona. (1978) Surface tension of a hard sphere fluid near a wall. Expansion in powers of the density. The Journal of Chemical Physics 68:6, pages 2971-2973.
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J. W. Allen & Stuart A. Rice. (1977) On the existence of a nonmonotonic nuclear density profile at the jellium–vacuum interface. The Journal of Chemical Physics 67:11, pages 5105-5110.
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D.John Mitchell, Barry W. Ninham & Bernard A. Pailthrope. (1977) Hard sphere structural effects in colloid systems. Chemical Physics Letters 51:2, pages 257-260.
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