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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 54, 1985 - Issue 5
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Original Articles

A density functional-variational treatment of the hard sphere transition

Gerald L. Jones Department of Physics, University of Notre Dame, Notre Dame, Indiana, 46556, U.S.A.
&
Udayan Mohanty Department of Chemistry, Boston College, Chestnut Hill, Massachusetts, 02167, U.S.A.
Pages 1241-1252 | Received 05 Oct 1984, Accepted 26 Nov 1984, Published online: 23 Aug 2006

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S. Alexander, P.M. Chaikin, Daniel Hone, P.A. Pincus & D.W. Schaefer. (1988) Freezing of Colloidal Crystals. Physics and Chemistry of Liquids 18:3, pages 207-226.
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R.D. Groot, N.M. Faber & J.P. van der Eerden. (1987) Hard sphere fluids near a hard wall and a hard cylinder. Molecular Physics 62:4, pages 861-874.
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GeraldL. Jones. (1987) Elastic constants in density-functional theory. Molecular Physics 61:2, pages 455-466.
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R.D. Groot. (1987) Density functional models for inhomogeneous hard sphere fluids. Molecular Physics 60:1, pages 45-63.
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Jean-Louis Colot, Marc Baus & Hong Xu. (1986) The freezing of hard spheres. Molecular Physics 57:4, pages 809-823.
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J.L. Colot & M. Baus. (1985) The freezing of hard spheres. Molecular Physics 56:4, pages 807-824.
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Toru Ekimoto, Akira Yoshimori, Takashi Odagaki & Takashi Yoshidome. (2013) A theoretical framework for calculations of the structural relaxation time on the basis of the free energy landscape theory. Chemical Physics Letters 577, pages 58-61.
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Sunil P Singh & Shankar P Das. (2012) The hopping process of a vacancy defect in a crystal. Journal of Statistical Mechanics: Theory and Experiment 2012:10, pages P10016.
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M. Oettel, S. Görig, A. Härtel, H. Löwen, M. Radu & T. Schilling. (2010) Free energies, vacancy concentrations, and density distribution anisotropies in hard-sphere crystals: A combined density functional and simulation study. Physical Review E 82:5.
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Sunil P Singh & Shankar P Das. (2007) Characteristic temperatures of glassy behaviour in a simple liquid. Journal of Physics: Condensed Matter 19:24, pages 246107.
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Sunil P. Singh & Shankar P. Das. (2007) Perturbation theory for classical solids with vacancy defects. Physical Review B 75:14.
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Sunil P. Singh & Shankar P. Das. (2007) A density functional model for the binary crystal of hard spheres with vacancies. The Journal of Chemical Physics 126:6.
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Sunil P. Singh & Shankar P. Das. (2006) Stability of amorphous structures with voids. Journal of Non-Crystalline Solids 352:42-49, pages 4857-4861.
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Takashi Yoshidome, Akira Yoshimori & Takashi Odagaki. (2006) Construction of the Free Energy Landscape by the Density Functional Approarch. Journal of the Physical Society of Japan 75:5, pages 054005.
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Sunil P. Singh, Charanbir Kaur & Shankar P. Das. (2005) Optimum vacancy concentration in a crystal. Physical Review E 72:2.
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Udayan Mohanty. 1998. Strongly Coupled Coulomb Systems. Strongly Coupled Coulomb Systems 405 408 .
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Nazar Sushko, Paul van der Schoot & M. A. J. Michels. (2001) Density-functional theory of the crystallization of hard polymeric chains. The Journal of Chemical Physics 115:16, pages 7744-7752.
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M. Valera, R. F. Bielby, F. J. Pinski & D. D. Johnson. (2001) Unbiased density functional solutions of freezing in binary mixtures of hard or soft spheres. The Journal of Chemical Physics 115:11, pages 5213-5219.
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Charanbir Kaur & Shankar P Das. (2001) Stability of amorphous structures with voids. Journal of Physics: Condensed Matter 13:33, pages 7259-7269.
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Benito Groh. (2000) Density-functional theory for vacancies in hard-sphere crystals. Physical Review E 61:5, pages 5218-5222.
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Shri Singh. (2000) Phase transitions in liquid crystals. Physics Reports 324:2-4, pages 107-269.
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Gerald S. Manning & Udayan Mohanty. (1997) Counterion condensation on ionic oligomers. Physica A: Statistical Mechanics and its Applications 247:1-4, pages 196-204.
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C. Rascón, L. Mederos & G. Navascués. (1996) Thermodynamic consistency of the hard-sphere solid distribution function. The Journal of Chemical Physics 105:23, pages 10527-10534.
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Udayan Mohanty & Yiquin Zhao. (1998) Polarization of counterions in polyelectrolytes. Biopolymers 38:3, pages 377-388.
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Hartmut Löwen. (1994) Melting, freezing and colloidal suspensions. Physics Reports 237:5, pages 249-324.
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Brian B. Laird. (1992) Weighted-density-functional theory calculation of elastic constants for face-centered-cubic and body-centered-cubic hard-sphere crystals. The Journal of Chemical Physics 97:4, pages 2699-2704.
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Yashwant Singh. (1991) Density-functional theory of freezing and properties of the ordered phase. Physics Reports 207:6, pages 351-444.
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Marko V. Jarić & Udayan Mohanty. (1988) Density-functional theory of elastic moduli: Icosahedral quasicrystals. Physical Review B 38:14, pages 9434-9446.
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Milorad Popović & Marko V. Jarić. (1988) Freezing of the hard-sphere liquid. Physical Review B 38:1, pages 808-810.
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