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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 31, 1976 - Issue 4
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Original Articles

Charged hard spheres in a uniform neutralizing background using ‘mixed’ integral equations

Pages 1117-1127 | Received 29 Sep 1975, Published online: 23 Aug 2006

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Read on this site (15)

Stanislav Iatsevitch & Frank Forstmann. (2000) Structure of fluid interfaces: an integral equation study. Molecular Physics 98:17, pages 1309-1322.
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S.B. YUSTE, A. SANTOS & M. LÓPEZ DE HARO. (2000) Direct correlation functions and bridge functions in additive hard-sphere mixtures. Molecular Physics 98:7, pages 439-446.
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Roland Kjellander & Sten Sarman. (1990) A study of anisotropic pair distribution theories for Lennard-Jones fluids in narrow slits. Molecular Physics 70:2, pages 215-237.
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M.F. Holovko & Yu.V. Kalyuzhnyi. (1989) On the application of the EXP-like approximation for the description of the site-site ion-molecular models. Molecular Physics 68:6, pages 1239-1253.
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Roman Pospíšil, Anatol Malijevský & Stanislav Labík. (1989) An integral equation method for quadrupolar hard dumbbell fluids. Molecular Physics 68:3, pages 609-614.
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A. Perera, P.G. Kusalik & G.N. Patey. (1987) A theoretical study of simple liquid crystal models. Molecular Physics 60:1, pages 77-95.
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D. Levesque, J.J. Weis & G.N. Patey. (1984) Fluids of Lennard-Jones spheres with dipoles and tetrahedral quadrupoles. Molecular Physics 51:2, pages 333-348.
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DerekY.C. Chan & GlenR. Walker. (1982) A non-linear truncation scheme for the Ornstein-Zernike equation for dipolar fluids. Molecular Physics 47:4, pages 881-896.
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J.M. Caillol, D. Levesque & J.J. Weis. (1981) Theoretical determination of the dielectric constant of a two dimensional dipolar fluid. Molecular Physics 44:3, pages 733-760.
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G.N. Patey, D. Levesque & J.J. Weis. (1979) Integral equation approximations for fluids of hard spheres with dipoles and quadrupoles. Molecular Physics 38:5, pages 1635-1654.
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D. Levesque, J.J. Weis & G.N. Patey. (1979) The potential of mean force in simple polar/non-polar mixtures. Molecular Physics 38:2, pages 535-543.
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G.N. Patey, D. Levesque & J.J. Weis. (1979) Integral equation approximations for dipolar fluids. Molecular Physics 38:1, pages 219-239.
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J.P. Hansen & J.J. Weis. (1977) Charged hard spheres in a uniform neutralizing background. Molecular Physics 33:5, pages 1379-1385.
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R. Ishizuka & N. Yoshida. (2012) Application of efficient algorithm for solving six-dimensional molecular Ornstein-Zernike equation. The Journal of Chemical Physics 136:11.
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Liang Luo & Sabine H. L. Klapp. (2009) Fluctuations in a ferrofluid monolayer: An integral equation study. The Journal of Chemical Physics 131:3.
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A. Malijevský & J. Kolafa. 2008. Theory and Simulation of Hard-Sphere Fluids and Related Systems. Theory and Simulation of Hard-Sphere Fluids and Related Systems 1 26 .
Raghu Nath Behera & Pinaki Gupta-Bhaya. (2007) On attractive interaction of a colloid pair of like charge at infinite dilution. The Journal of Chemical Physics 126:4.
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Sabine H L Klapp. (2005) Dipolar fluids under external perturbations. Journal of Physics: Condensed Matter 17:15, pages R525-R550.
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Ostap Antonevych, Frank Forstmann & Enrique Diaz-Herrera. (2002) Phase diagram of symmetric binary fluid mixtures: First-order or second-order demixing. Physical Review E 65:6.
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S. H. L. Klapp & G. N. Patey. (2000) Crystallization of dipolar spheres: A discussion of second-order density functional theory. The Journal of Chemical Physics 112:24, pages 10949-10956.
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S. H. L. Klapp & G. N. Patey. (2000) Integral equation theory for dipolar hard sphere fluids with fluctuating orientational order. The Journal of Chemical Physics 112:8, pages 3832-3844.
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A. G. Moreira & R. R. Netz. (2000) One-component-plasma: Going beyond Debye-Hückel. The European Physical Journal D 8:1, pages 145-149.
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Sabine Klapp & Frank Forstmann. (1999) Phase behavior of aligned dipolar hard spheres: Integral equations and density functional results. Physical Review E 60:3, pages 3183-3198.
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Baw-Ching Perng & Branka M. Ladanyi. (1999) Longitudinal dielectric properties of molecular liquids: Molecular dynamics simulation studies of CH3CN, C6H6, and CO2. The Journal of Chemical Physics 110:13, pages 6389-6405.
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C. Denk, M. Morillo, F. Sánchez-Burgos & Antonio Sánchez. (1999) Reorganization energies for charge transfer reactions in binary mixtures of dipolar hard sphere solvents: A Monte Carlo study. The Journal of Chemical Physics 110:1, pages 473-483.
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Sabine Klapp & Frank Forstmann. (1998) Crystallization of dipolar hard spheres: Density functional results. The Journal of Chemical Physics 109:3, pages 1062-1069.
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C. Caccamo, G. Pellicane & E. Enciso. (1997) Percus-Yevick bridge functions in a thermodynamic self-consistent theory of hard sphere mixtures. Physical Review E 56:6, pages 6954-6961.
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Sabine Klapp & Frank Forstmann. (1997) Phase transitions in dipolar fluids: An integral equation study. The Journal of Chemical Physics 106:23, pages 9742-9761.
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Jae Weon Lee, Mu Shik Jhon & Francis H. Ree. (1993) Thermodynamic perturbation theory of charged hard spheres in a uniform neutralizing background. Chemical Physics 178:1-3, pages 105-112.
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M. Kasch & F. Forstmann. (1993) An orientational instability and the liquid–vapor interface of a dipolar hard sphere fluid. The Journal of Chemical Physics 99:4, pages 3037-3048.
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José Pedro Rino & Oscar Hipólito. (1993) Charged-hard-sphere system: A self-consistent-field approximation. Physical Review E 48:2, pages 1375-1378.
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Kenneth S. Schweizer & Arun Yethiraj. (1993) Polymer reference interaction site model theory: New molecular closures for phase separating fluids and alloys. The Journal of Chemical Physics 98:11, pages 9053-9079.
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Yaakov Rosenfeld. (1993) Free energy model for inhomogeneous fluid mixtures: Yukawa-charged hard spheres, general interactions, and plasmas. The Journal of Chemical Physics 98:10, pages 8126-8148.
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X. S. Chen & F. Forstmann. (1992) The demixing and gas–liquid instability of a binary Yukawa fluid. The Journal of Chemical Physics 97:5, pages 3696-3703.
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X. S. Chen, M. Kasch & F. Forstmann. (1991) Demixing phase transition in a mixture of hard-sphere dipoles and neutral hard spheres. Physical Review Letters 67:19, pages 2674-2677.
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Robert Penfold, Sture Nordholm, Bo Jönsson & C. E. Woodward. (1991) A simple analysis of the classical hard sphere one component plasma. I. Hole corrected Debye–Hückel theory. The Journal of Chemical Physics 95:3, pages 2048-2055.
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Pil H. Lee & Branka M. Ladanyi. (1989) Structural and dielectric properties of dipolar hard sphere mixtures: Reference hypernetted chain and pertubation theory results. The Journal of Chemical Physics 91:11, pages 7063-7074.
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P. G. Kusalik & G. N. Patey. (1988) On the molecular theory of aqueous electrolyte solutions. III. A comparison between Born–Oppenheimer and McMillan–Mayer levels of description. The Journal of Chemical Physics 89:12, pages 7478-7484.
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J. M. Caillol, J. J. Weis & G. N. Patey. (1988) Molecular theory of orientationally ordered liquids: Exact formal expressions and the application of integral-equation methods with results for ferrofluids. Physical Review A 38:9, pages 4772-4788.
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W. Dong, M. L. Rosinberg, A. Perera & G. N. Patey. (1988) A theoretical study of the solid–electrolyte solution interface. I. Structure of a hard sphere ion–dipole mixture near an uncharged hard wall. The Journal of Chemical Physics 89:8, pages 4994-5009.
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P. G. Kusalik & G. N. Patey. (1988) On the molecular theory of aqueous electrolyte solutions. I. The solution of the RHNC approximation for models at finite concentration. The Journal of Chemical Physics 88:12, pages 7715-7738.
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Pil H. Lee & Branka M. Ladanyi. (1987) Structural and dielectric properties of dipolar hard sphere mixtures. The Journal of Chemical Physics 87:7, pages 4093-4099.
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A. Bradbury, G.A.R. Martin & R.W. Chantrell. (1987) Zero field particle correlations in a ferrofluid using Monte Carlo simulations and the hypernetted chain approximation. Journal of Magnetism and Magnetic Materials 69:1, pages 5-11.
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G.A.R. Martin, A. Bradbury & R.W. Chantrell. (1987) A comparison between a three-dimensional Monte Carlo model and a hypernnetted chain approximation of a ferrofluid. Journal of Magnetism and Magnetic Materials 65:2-3, pages 177-180.
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G. Martin, A. Bradbury & R. Chantrell. (1986) Particle pair correlation in a magnetically saturated ferrofluid. IEEE Transactions on Magnetics 22:5, pages 1137-1139.
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P. H. Fries & G. N. Patey. (1985) The solution of the hypernetted-chain approximation for fluids of nonspherical particles. A general method with application to dipolar hard spheres. The Journal of Chemical Physics 82:1, pages 429-440.
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S. Murad, K.E. Gubbins & C.G. Gray. (1983) Comparisons of perturbation and integral equation theories for the angular pair correlation function in molecular fluids. Chemical Physics 81:1-2, pages 87-98.
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B. B. Deo & A. C. Naik. (1983) Calculation of correlation functions of hard spheres in the generalized mean spherical approximation. Physical Review A 28:3, pages 1700-1708.
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Masaharu Ohba & Kiyoshi Arakawa. (1982) Calculation of the Pair Correlation Functions for Fluids Composed of Diatomic Polar Molecules Based on the Interaction Site Model. Bulletin of the Chemical Society of Japan 55:5, pages 1387-1391.
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J. -P. Badiali & M. -L. Rosinberg. (1982) Mean spherical approximation for charged hard spheres near a charged hard wall in a neutralizing background. The Journal of Chemical Physics 76:6, pages 3264-3270.
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William G. Madden. (1981) On the optimized cluster theory for continuous potentials. The Journal of Chemical Physics 75:4, pages 1984-1990.
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G. Stell, G. N. Patey & J. S. Høye. 1981. Advances in Chemical Physics. Advances in Chemical Physics 183 328 .
F. J. Rogers. (1980) A HNC study of asymmetrically charged hard spheres. The Journal of Chemical Physics 73:12, pages 6272-6278.
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G. N. Patey. (1980) The interaction of two spherical colloidal particles in electrolyte solution. An application of the hypernetted-chain approximation. The Journal of Chemical Physics 72:10, pages 5763-5771.
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David MacGowan. (1980) A new derivation of the reference hypernetted chain equation. Physics Letters A 76:3-4, pages 264-266.
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D. Levesque, J. J. Weis & G. N. Patey. (1980) Charged hard spheres in dipolar hard sphere solvents. A model for electrolyte solutions. The Journal of Chemical Physics 72:3, pages 1887-1899.
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Yaakov Rosenfeld & N. W. Ashcroft. (1979) Theory of simple classical fluids: Universality in the short-range structure. Physical Review A 20:3, pages 1208-1235.
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K. C. Mo & C. F. Hooper. (1977) Noniterative calculation of the radial-distribution function for charged hard spheres in a uniform neutralizing background. Physical Review A 15:1, pages 372-377.
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