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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 80, 1993 - Issue 5
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Original Articles

Phase transition and director fluctuations in the three-dimensional Lebwohl-Lasher model of liquid crystals

Zhengping Zhang Centre for the Physics of Materials, Department of Physics, McGill University, Montreal, Quebec, Canada, H3A 2T8
,
Martin J. Zuckermann Centre for the Physics of Materials, Department of Physics, McGill University, Montreal, Quebec, Canada, H3A 2T8
&
Ole G. Mouritsen Canadian Institute of Advanced Research and Department of Physical Chemistry, The Technical University of Denmark, Building 206, DK-2800, Lyngby, Denmark
Pages 1195-1221 | Received 22 Dec 1992, Accepted 25 Feb 1993, Published online: 26 Oct 2007

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Claudio Zannoni. (2018) From idealised to predictive models of liquid crystals. Liquid Crystals 45:13-15, pages 1880-1893.
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Emel Kilit & Hamit Yurtseven. (2011) Analysis of the Specific Heat in the Supercooled Solid Phase of Liquid Crystals. Molecular Crystals and Liquid Crystals 540:1, pages 12-19.
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E. Kilit & H. Yurtseven. (2010) Analysis of the specific heat of p-azoxyanisole (PAA) near the phase transitions. Physics and Chemistry of Liquids 48:4, pages 450-460.
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REINER MEMMER & OLIVIER FLIEGANS. (2003) Microcanonical equilibrium properties of chiral liquid crystals—a Monte Carlo study. Molecular Physics 101:12, pages 1829-1837.
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G. R. LUCKHURST & S. ROMANO. (1999) Computer simulation study of a nematogenic lattice model based on an elastic energy mapping of the pair potential. Liquid Crystals 26:6, pages 871-884.
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DOMINIQUE GONIN & ALAN WINDLE. (1997) Structural aspects of the nematic-isotropic transition in liquid crystals: an investigation using a development of the Lebwohl-Lasher lattice model. Liquid Crystals 23:4, pages 489-502.
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P. Elsässer & A. Kuhnhold. (2022) Phase behavior of the generalized chiral Lebwohl-Lasher model in bulk and confinement. Physical Review E 105:5.
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E. Kilit & H. Yurtseven. (2008) Temperature dependence of the thermal expansivity and the specific heat near the nematic-isotropic (NI) phase transition in PAA. Journal of Molecular Liquids 138:1-3, pages 84-87.
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M.P. Allen. 2006. Computer Simulations in Condensed Matter Systems: From Materials to Chemical Biology Volume 2. Computer Simulations in Condensed Matter Systems: From Materials to Chemical Biology Volume 2 191 210 .
Michael P. Allen. (2005) Spin dynamics for the Lebwohl-Lasher model. Physical Review E 72:3.
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A. Kapanowski & T. Wietecha. (2004) Theory of the Dielectric Susceptibility of Liquid Crystals with Polar Nonuniaxial Molecules. Acta Physica Polonica A 106:1, pages 51-68.
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Enakshi Mondal & Soumen Kumar Roy. (2004) Behaviour of topological charges in the phase transitions exhibited by two planar lattice models. Physics Letters A 324:4, pages 337-343.
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Enakshi Mondal & Soumen Kumar Roy. (2003) Finite size scaling in the planar Lebwohl–Lasher model. Physics Letters A 312:5-6, pages 397-410.
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Abhijit Pal & Soumen Kumar Roy. (2003) Monte Carlo simulation of a planar lattice model with interactions . Physical Review E 67:1.
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S. ROMANO. (2012) COMPUTER SIMULATION STUDY OF A NEMATOGENIC LATTICE-GAS MODEL WITH FOURTH-RANK INTERACTIONS. International Journal of Modern Physics B 16:19, pages 2901-2915.
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N. V. Priezjev & Robert A. Pelcovits. (2001) Disclination loop behavior near the nematic-isotropic transition. Physical Review E 64:3.
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N. V. Priezjev & Robert A. Pelcovits. (2001) Cluster Monte Carlo simulations of the nematic-isotropic transition. Physical Review E 63:6.
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S. ROMANO. (2011) COMPUTER SIMULATION STUDY OF A NEMATOGENIC LATTICE-GAS MODEL BASED ON THE NEHRING–SAUPE INTERACTION POTENTIAL. Modern Physics Letters B 15:04n05, pages 137-155.
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S. ROMANO. (2012) MEAN FIELD, TWO-SITE CLUSTER, AND COMPUTER SIMULATION STUDY OF A NEMATOGENIC LATTICE-GAS MODEL. International Journal of Modern Physics B 15:03, pages 259-280.
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Reinhold Haberlandt, Siegfried Fritzsche & Horst-Ludger Vörtler. 2001. Handbook of Surfaces and Interfaces of Materials. Handbook of Surfaces and Interfaces of Materials 357 443 .
Jeroen S. van Duijneveldt, Alejandro Gil-Villegas, George Jackson & Michael P. Allen. (2000) Simulation study of the phase behavior of a primitive model for thermotropic liquid crystals: Rodlike molecules with terminal dipoles and flexible tails. The Journal of Chemical Physics 112:20, pages 9092-9104.
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S. ROMANO. (2012) COMPUTER SIMULATION STUDY OF A NEMATOGENIC LATTICE-GAS MODEL. International Journal of Modern Physics B 14:11, pages 1195-1207.
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Michael P. Allen. (2000) Long-range behaviour in liquid crystals by computer simulation. Journal of Molecular Liquids 85:1-2, pages 161-171.
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Shri Singh. (2000) Phase transitions in liquid crystals. Physics Reports 324:2-4, pages 107-269.
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Paolo Pasini, Cesare Chiccoli & Claudio Zannoni. 2000. Advances in the Computer Simulatons of Liquid Crystals. Advances in the Computer Simulatons of Liquid Crystals 99 119 .
Michael P. Allen. 2000. Advances in the Computer Simulatons of Liquid Crystals. Advances in the Computer Simulatons of Liquid Crystals 73 97 .
R. HASHIM & S. ROMANO. (2012) COMPUTER SIMULATION STUDY OF A NEMATOGENIC LATTICE MODEL BASED ON THE NEHRING–SAUPE INTERACTION POTENTIAL. International Journal of Modern Physics B 13:32, pages 3879-3902.
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CESARE CHICCOLI, PAOLO PASINI, FRANCO SEMERIA & CLAUDIO ZANNONI. (2012) A DETAILED MONTE CARLO INVESTIGATION OF THE TRICRITICAL REGION OF A BIAXIAL LIQUID CRYSTAL SYSTEM. International Journal of Modern Physics C 10:02n03, pages 469-476.
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Kisor Mukhopadhyay, Abhijit Pal & Soumen Kumar Roy. (1999) Study of a planar lattice model with P4 interaction. Physics Letters A 253:1-2, pages 105-112.
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Prabir K Mukherjee. (1998) The puzzle of the nematic-isotropic phase transition. Journal of Physics: Condensed Matter 10:41, pages 9191-9205.
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S. Romano. (2012) Elastic Constants and Pair Potentials for Nematogenic Lattice Models. International Journal of Modern Physics B 12:22, pages 2305-2323.
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J. Chakrabarti. (1998) Simulation Evidence of Critical Behavior of Isotropic-Nematic Phase Transition in a Porous Medium. Physical Review Letters 81:2, pages 385-388.
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Cesare Chiccoli, Paolo Pasini, Stefano Guzzetti & Claudio Zannoni. (2011) A Monte Carlo Simulation of an In-Plane Switching Liquid Crystal Display. International Journal of Modern Physics C 09:03, pages 409-419.
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James M Polson & E.Elliott Burnell. (1997) Nematic-isotropic phase coexistence in a Lebwohl–Lasher model binary liquid crystal mixture. Chemical Physics Letters 281:1-3, pages 207-211.
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Michael P. Allen & Mark A. Warren. (1997) Simulation of Structure and Dynamics near the Isotropic-Nematic Transition. Physical Review Letters 78:7, pages 1291-1294.
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Jens Risbo, Maria M. Sperotto & Ole G. Mouritsen. (1995) Theory of phase equilibria and critical mixing points in binary lipid bilayers. The Journal of Chemical Physics 103:9, pages 3643-3656.
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J. Galle & F. Volke. (1995) Computer simulation of the temperature- and hydration-dependent lateral diffusion of phosphatidylcholine in lipid bilayers. Biophysical Chemistry 54:2, pages 109-117.
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Michael P. Allen. 1995. Observation, Prediction and Simulation of Phase Transitions in Complex Fluids. Observation, Prediction and Simulation of Phase Transitions in Complex Fluids 557 591 .

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