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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 50, 1983 - Issue 6
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Original Articles

Correlation functions for nematic liquid crystals

Joel L. Lebowitz Department of Mathematics and Physics, Rutgers University, New Brunswick, New Jersey, U.S.A.
&
John W. Perram Department of Mechanical Engineering and Planetary Science, State University of New York at Stony Brook, N.Y.; Matematisk Institut, Odense Universitet, DK 5230, Odense, Denmark
Pages 1207-1214 | Received 12 Oct 1982, Accepted 13 Jul 1983, Published online: 23 Aug 2006

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WILFRIED LOTHAR WAGNER LORIS BENNETT. (1998) A study of the perfectly oriented Gay–Berne model of a nematic liquid crystal via perturbation theory and molecular dynamics. Molecular Physics 94:3, pages 571-575.
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H. SCHLACKEN, H.-J. MOGEL & P. SCHILLER. (1998) Orientational transitions of two-dimensional hard rod fluids. Molecular Physics 93:5, pages 777-787.
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W.L. Wagner. (1997) Properties of an Ideal Nematic Gay-Berne Fluid. Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals 299:1, pages 33-38.
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AlexanderN. Zakhlevnykh, PeterA. Sosnin, Nematic Liquid, Biaxial Ellipsoidal Particles & Phase Transition. (1997) Statistical Theory of Nematic Liquid Crystals Composed of Biaxial Ellipsoidal Particles. Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals 293:1, pages 135-173.
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Yaakov Rosenfeld. (1995) Free energy model for the inhomogeneous hard-body fluid: application of the Gauss-Bonnet theorem. Molecular Physics 86:4, pages 637-647.
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Durgesh Vaidya, DavidA. Kofke, Shuang Tang & GlennT. Evans. (1994) Self-diffusion in the nematic and smectic A phases of an aligned fluid of hard spherocylinders. Molecular Physics 83:1, pages 101-112.
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M.A. Osipov & S. Hess. (1994) Elastic constants of nematics. Comparison between molecular theory and computer simulations. Liquid Crystals 16:5, pages 845-851.
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Bijoy Kumar & AndrewJ. Masters. (1994) A comparison between kinetic theory and affine transformation theory for self diffusion in a fluid of aligned hard spheroids. Molecular Physics 81:2, pages 491-506.
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M.A. Osipov & S. Hess. (1993) The elastic constants of nematic and nematic discotic liquid crystals with perfect local orientational order. Molecular Physics 78:5, pages 1191-1201.
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M.A. Osipov & B.I. Ostrovskii. (1992) Study of the Orientational Order in Liquid Crystals by X-Ray Scattering. Crystallography Reviews 3:2, pages 113-152.
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GlennT. Evans. (1992) Liquid crystal smectic-A phases and issues of geometry. Molecular Physics 76:6, pages 1359-1374.
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Enrique De Miguel, LuisF. Rull, ManojK. Chalam & KeithE. Gubbins. (1991) Liquid crystal phase diagram of the Gay-Berne fluid. Molecular Physics 74:2, pages 405-424.
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Broto Tjipto-Margo & GlennT. Evans. (1991) A van der Waals theory of nematic liquid crystals: a ‘convex peg in a round hole’ potential. Molecular Physics 74:1, pages 85-101.
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B.M. Mulder & D. Frenkel. (1985) The hard ellipsoid-of-revolution fluid. Molecular Physics 55:5, pages 1193-1215.
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Andrzej Kloczkowski & Jan Stecki. (1985) A molecular model for the smectic A phase. Molecular Physics 55:3, pages 689-700.
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Peter Harrowell & DavidW. Oxtoby. (1985) Interfacial properties and phase transitions of a system of anisotropic molecules. Molecular Physics 54:6, pages 1325-1333.
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D. Frenkel. (1985) Approximate relation between the melting of hard spheres and ellipsoidal platelets and needles. Molecular Physics 54:1, pages 145-148.
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Lara Querciagrossa, Roberto Berardi & Claudio Zannoni. (2018) Can off-centre mesogen dipoles extend the biaxial nematic range?. Soft Matter 14:12, pages 2245-2253.
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Salvatore Torquato. (2016) Hyperuniformity and its generalizations. Physical Review E 94:2.
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Jokhan Ram. (2014) Equilibrium theory of molecular fluids: Structure and freezing transitions. Physics Reports 538:4, pages 121-185.
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Jean-Pierre Hansen & Ian R. McDonald. 2013. Theory of Simple Liquids. Theory of Simple Liquids 511 584 .
Ilaria Monetto & W.J. Drugan. (2009) A micromechanics-based nonlocal constitutive equation and minimum RVE size estimates for random elastic composites containing aligned spheroidal heterogeneities. Journal of the Mechanics and Physics of Solids 57:9, pages 1578-1595.
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Bruno Martínez-Haya & Alejandro Cuetos. (2009) Columnar phases of discotics with orientation-dependent interactions. The Journal of Chemical Physics 131:7.
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Alejandro Cuetos & Bruno Martínez-Haya. (2008) Columnar phases of discotic spherocylinders. The Journal of Chemical Physics 129:21, pages 214706.
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Carl McBride & Enrique Lomba. (2007) Hard biaxial ellipsoids revisited: Numerical results. Fluid Phase Equilibria 255:1, pages 37-45.
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I. Paci & N. M. Cann. (2003) Integral equation theories for orientionally ordered fluids. The Journal of Chemical Physics 119:5, pages 2638-2657.
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Chi O. Ao & Jin A. Kong. (2002) Analytical approximations in multiple scattering of electromagnetic waves by aligned dielectric spheroids. Journal of the Optical Society of America A 19:6, pages 1145.
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Sylviane DuBois & Aurélien Perera. (2002) Entropy driven demixing in fluids of rigidly ordered particles. The Journal of Chemical Physics 116:14, pages 6354-6367.
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Y. Rosenfeld. 1999. New Approaches to Problems in Liquid State Theory. New Approaches to Problems in Liquid State Theory 303 320 .
E. Velasco & L. Mederos. (1998) A theory for the liquid-crystalline phase behavior of the Gay–Berne model. The Journal of Chemical Physics 109:6, pages 2361-2370.
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Philip J. Camp & Michael P. Allen. (1997) Phase diagram of the hard biaxial ellipsoid fluid. The Journal of Chemical Physics 106:16, pages 6681-6688.
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Shih-Yuan Lu & Hway-Chi Lin. (1996) Effective conductivity of composites containing aligned spheroidal inclusions of finite conductivity. Journal of Applied Physics 79:9, pages 6761-6769.
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Alison Casey & Peter Harrowell. (1995) Monte Carlo simulations of a layering transition in hard parallelepipeds. The Journal of Chemical Physics 103:14, pages 6143-6150.
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Yaakov Rosenfeld. (1994) Density functional theory of molecular fluids: Free-energy model for the inhomogeneous hard-body fluid. Physical Review E 50:5, pages R3318-R3321.
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M. A. Osipov & S. Hess. (1993) Density functional approach to the theory of interfacial properties of nematic liquid crystals. The Journal of Chemical Physics 99:5, pages 4181-4190.
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In Chan Kim & S. Torquato. (1993) Effective conductivity of composites containing spheroidal inclusions: Comparison of simulations with theory. Journal of Applied Physics 74:3, pages 1844-1854.
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M. P. Allen, G. T. Evans, D. Frenkel & B. M. Mulder. 1993. Advances in Chemical Physics. Advances in Chemical Physics 1 166 .
L. Mederos & D. E. Sullivan. (1992) Smectic- A ordering at a liquid-vapor interface . Physical Review A 46:12, pages 7700-7707.
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Dominique Levesque & Jean Jarques Weis. 1992. The Monte Carlo Method in Condensed Matter Physics. The Monte Carlo Method in Condensed Matter Physics 121 204 .
Dominique Levesque & Jean Jacques Weis. 1995. The Monte Carlo Method in Condensed Matter Physics. The Monte Carlo Method in Condensed Matter Physics 121 204 .
S. Torquato. (1991) Diffusion and reaction among traps: some theoretical and simulation results. Journal of Statistical Physics 65:5-6, pages 1173-1206.
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C. A. Miller, I. C. Kim & S. Torquato. (1991) Trapping and flow among random arrays of oriented spheroidal inclusions. The Journal of Chemical Physics 94:8, pages 5592-5598.
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S. Torquato & F. Lado. (1991) Trapping constant, thermal conductivity, and the microstructure of suspensions of oriented spheroids. The Journal of Chemical Physics 94:6, pages 4453-4462.
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F. Lado & S. Torquato. (1990) Two-point probability function for distributions of oriented hard ellipsoids. The Journal of Chemical Physics 93:8, pages 5912-5917.
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Broto Tjipto-Margo & Glenn T. Evans. (1990) The Onsager theory of the isotropic–nematic liquid crystal transition: Incorporation of the higher virial coefficients. The Journal of Chemical Physics 93:6, pages 4254-4265.
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J. M. Caillol & J. J. Weis. (1990) Nematic to smectic- A transition of parallel dipolar hard spherocylinders and ellipsoids, a hypernetted chain equation study . The Journal of Chemical Physics 92:5, pages 3197-3205.
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M.P. Allen, D. Frenkel & J. Talbot. (1989) Molecular dynamics simulation using hard particles. Computer Physics Reports 9:6, pages 301-353.
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L. Mederos & D. E. Sullivan. (1989) Molecular theory of smectic- A liquid crystals . Physical Review A 39:2, pages 854-863.
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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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Yaakov Rosenfeld. (1988) Scaled field particle theory of the structure and the thermodynamics of isotropic hard particle fluids. The Journal of Chemical Physics 89:7, pages 4272-4287.
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Mangal C. Mahato, M. Raj Lakshmi, Rahul Pandit & H. R. Krishnamurthy. (1988) Liquid-mesophase-solid transitions: Systematics of a density-wave theory. Physical Review A 38:2, pages 1049-1064.
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B. Tjipto-Margo & D. E. Sullivan. (1988) Molecular interactions and interface properties of nematic liquid crystals. The Journal of Chemical Physics 88:10, pages 6620-6630.
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J. L. Lebowitz, J. K. Percus & J. Talbot. (1987) On the orientational properties of some one-dimensional model systems. Journal of Statistical Physics 49:5-6, pages 1221-1234.
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A. Stroobants, H. N. W. Lekkerkerker & D. Frenkel. (1987) Evidence for one-, two-, and three-dimensional order in a system of hard parallel spherocylinders. Physical Review A 36:6, pages 2929-2945.
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Jan K. G. Dhont. (1986) The static structure factor for fully aligned charged rod-like macromolecules. The Journal of Chemical Physics 85:10, pages 5983-5990.
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Yaakov Rosenfeld. (1985) High-density properties of liquid-state theories: Physically intuitive meaning for the direct correlation functions. Physical Review A 32:3, pages 1834-1842.
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