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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 65, 1988 - Issue 6
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Original Articles

The P4 model and its orientational phase transition

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Pages 1505-1524 | Received 25 Apr 1988, Accepted 25 Jul 1988, Published online: 22 Aug 2006

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Ja.M. Ilnytskyi. (1998) Modified Lebwohl—Lasher Model for Investigation of Nematic — Isotropic Phase Transition in Liquid Crystals. Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals 323:1, pages 113-128.
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K. Mukhopadhyay & S.K. Roy. (1997) Theoretical Studies of the Planar Lebwohl-Lasher Lattice Model. Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals 293:1, pages 111-122.
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A.G. Vanakaras & D.J. Photinos. (1995) Electric dipoles and phase stability in nematic liquid crystals. Molecular Physics 85:6, pages 1089-1104.
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Zhengping Zhang, MartinJ. Zuckermann & OleG. Mouritsen. (1993) Phase transition and director fluctuations in the three-dimensional Lebwohl-Lasher model of liquid crystals. Molecular Physics 80:5, pages 1195-1221.
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S. Romano. (1992) Computer simulation study of plane rotators on a three dimensional lattice. Liquid Crystals 12:4, pages 641-648.
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F. Biscarini, C. Zannoni, C. Chiccoli & P. Pasini. (1991) Head-tail asymmetry and ferroelectricity in uniaxial liquid crystals. Molecular Physics 73:2, pages 439-461.
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Thomas Raistrick, Zhaopeng Zhang, Devesh Mistry, Johan Mattsson & Helen F. Gleeson. (2021) Understanding the physics of the auxetic response in a liquid crystal elastomer. Physical Review Research 3:2.
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Hassan Chamati & Silvano Romano. (2016) Nematic order in a simple-cubic lattice-spin model with full-ranged dipolar interactions. Physical Review E 93:5.
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Hassan Chamati & Silvano Romano. (2014) Nematic order by thermal disorder in a three-dimensional lattice spin model with dipolarlike interactions. Physical Review E 90:2.
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Silvano Romano & Giovanni De Matteis. (2011) Orientationally ordered phase produced by fully antinematic interactions: A simulation study. Physical Review E 84:1.
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Suman Sinha & Soumen Kumar Roy. (2009) Performance of Wang–Landau algorithm in continuous spin models and a case study: Modified XY-model. Physics Letters A 373:3, pages 308-314.
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H. Chamati & S. Romano. (2008) Topological transitions in two-dimensional lattice models of liquid crystals. Physical Review E 77:5.
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Giovanni De Matteis, Silvano Romano & Epifanio G. Virga. (2005) Bifurcation analysis and computer simulation of biaxial liquid crystals. Physical Review E 72:4.
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Silvano Romano. (2004) Mean-field and computer simulation study of a biaxial nematogenic lattice model mimicking shape amphiphilicity. Physics Letters A 333:1-2, pages 110-119.
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Silvano Romano. (2004) Computer simulation study of a biaxial nematogenic lattice model associated with a two-dimensional lattice. Physica A: Statistical Mechanics and its Applications 339:3-4, pages 491-510.
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Silvano Romano. (2004) Computer simulation study of a biaxial nematogenic lattice model associated with a three-dimensional lattice and involving dispersion interactions. Physica A: Statistical Mechanics and its Applications 339:3-4, pages 511-530.
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Silvano Romano. (2004) Computer simulation of a biaxial nematogenic model on a three-dimensional lattice and based on a recently proposed interaction potential. Physica A: Statistical Mechanics and its Applications 337:3-4, pages 505-519.
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O Kayacan. (2004) Mean-field theory of anisotropic potential of rank L=4 and nonextensive formalism. Chemical Physics 297:1-3, pages 1-6.
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S. Romano. (2003) Mean field and computer simulation study of a nematogenic lattice model including three-body interactions. Physica A: Statistical Mechanics and its Applications 324:3-4, pages 606-620.
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S. Romano. (2003) Computer simulation study of two-dimensional nematogenic lattice models based on dispersion interactions. Physica A: Statistical Mechanics and its Applications 322, pages 432-448.
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S Romano. (2003) Computer simulation study of a two-dimensional nematogenic lattice model based on a mapping from elastic free-energy density. Physics Letters A 310:5-6, pages 465-472.
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S. Romano. (2002) Computer simulation study of a two-dimensional nematogenic lattice model based on the Nehring–Saupe interaction potential. Physics Letters A 305:3-4, pages 196-203.
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Silvano Romano & Valentin Zagrebnov. (2002) On the xy model and its generalizations. Physics Letters A 301:5-6, pages 402-407.
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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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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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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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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 .
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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Jaroslav Ilnytskyi, Stefan Sokołowski & Orest Pizio. (1999) Nematic-isotropic transition in a lattice model with quenched disordered impurities: A Monte Carlo study. Physical Review E 59:4, pages 4161-4168.
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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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A. V. Zakharov & S. Romano. (1998) Structural and elastic properties of the dipolar Gay-Berne model. Physical Review E 58:6, pages 7428-7434.
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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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S. Romano & Valentin A. Zagrebnov. (2012) Computer Simulation Study of Classical Spin Models in Two Dimensions with Long-Range Ferromagnetic Interactions Anisotropic in Spin Space. International Journal of Modern Physics B 12:18, pages 1871-1885.
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C. Zannoni. 1994. The Molecular Dynamics of Liquid Crystals. The Molecular Dynamics of Liquid Crystals 139 169 .
C. Zannoni. 1994. The Molecular Dynamics of Liquid Crystals. The Molecular Dynamics of Liquid Crystals 11 40 .
C. Chiccoli, P. Pasini & F. Semeria. (1993) Are Monte Carlo simulation results affected by sample shape? An investigation based on the Lebwohl-Lasher model. Physics Letters A 176:6, pages 428-432.
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