Random nematic structures in the absence of inherent frustrations

References

• Larkin A. Effect of inhomogeneities on the structure of the mixed state of superconductors. Sov Phys JETP. 1970;31:784.
   Google Scholar
• Harris R, Plischke M, Zuckerman M. New model for amorphous magnetism. Phys Rev Lett. 1973;31:160–162. doi:10.1103/PhysRevLett.31.160.
   Web of Science ®Google Scholar
• Imry Y, Ma S. Random-field instability of the ordered state of continuous symmetry. Phys Rev Lett. 1975;35:1399–1401. doi:10.1103/PhysRevLett.35.1399.
   Web of Science ®Google Scholar
• Bellini T, Radzihovsky L, Toner J, et al. Universality and scaling in the disordering of a smectic liquid crystal. Science. 2001;294:1074–1079. doi:10.1126/science.1057480
   PubMed Web of Science ®Google Scholar
• Ranjkesh A, Ambrožič M, Kralj S, et al. Computational studies of history dependence in nematic liquid crystals in random environments. Phys Rev E. 2014;89:022504. doi:10.1103/PhysRevE.89.022504.
   Web of Science ®Google Scholar
• Zurek W. Cosmological experiments in condensed matter systems. Phys Rep. 1996;276:177–221. doi:10.1016/S0370-1573(96)00009-9.
   Web of Science ®Google Scholar
• Aharony A. Critical behavior of amorphous magnets. Phys Rev B. 1975;12:1038. doi:10.1103/PhysRevB.12.1038.
   Web of Science ®Google Scholar
• Giamarchi T, Doussal PL. Elastic theory of flux lattices in the presence of weak disorder. Phys Rev B. 1995;52:1242. doi:10.1103/PhysRevB.52.1242.
   PubMed Web of Science ®Google Scholar
• Feldman DE. Quasi-long range order in glass states of impure liquid crystals, magnets, and superconductors. Int J Mod Phys B. 2001;15:2945. doi:10.1142/S0217979201006641.
   Web of Science ®Google Scholar
• Denholm DR, Sluckin TJ. Monte Carlo studies of two-dimensional random-anisotropy magnets. Phys Rev B. 1993;48:901–912. doi:10.1103/PhysRevB.48.901.
   PubMed Web of Science ®Google Scholar
• Aliev FM, Breganov MN. Electric polarization and dynamics of molecular motion of polar liquid crystals in micropores and macropores. Zh Eksp Teor Fiz. 1989;95:122. [Sov. Phys. JETP 68,70 (1989)].
   Google Scholar
• Dadmun MD, Muthukumar M. The nematic to isotropic transition of a liquid crystal in porous media. J Chem Phys. 1993;98:4850.
   Web of Science ®Google Scholar
• Kralj S, Zidanšek A, Lahajnar G, et al. Nematic ordering in porous glasses: a deuterium NMR study. Phys Rev E. 1996;53:3629. doi:10.1103/PhysRevE.53.3629.
   PubMed Web of Science ®Google Scholar
• Bellini T, Buscagli M, Chiccoli C, et al. Nematics with quenched disorder: what is left when long range order is disrupted? Phys Rev Lett. 2000;85:1008 and references therein. doi:10.1103/PhysRevLett.85.1008
   PubMed Web of Science ®Google Scholar
• Kutnjak Z, Kralj S, Lahajnar G, et al. Calorimetric study of octylcyanobiphenyl liquid crystal confined to a controlled-pore glass. Phys Rev E. 2003;68:021705. doi:10.1103/PhysRevE.68.021705.
   Web of Science ®Google Scholar
• Kralj S, Popa-Nita V. Random anisotropy nematic model: connection with experimental systems. Eur Phys J E. 2004;14:115–125. doi:10.1140/epje/i2003-10144-1.
   PubMed Web of Science ®Google Scholar
• Cordoyiannis G, Kralj S, Nounesis G, et al. Soft-stiff regime crossover for an aerosil network dispersed in liquid crystals. Phys Rev E. 2006;73:031707. doi:10.1103/PhysRevE.73.031707.
   PubMed Web of Science ®Google Scholar
• Popa-Nita V. Statics and kinetics at the nematic-isotropic interface in porous media. Eur J Phys B. 1999;12:83–90. doi:10.1007/s100510050981.
   Web of Science ®Google Scholar
• Popa-Nita V, Romano S. Nematic-smectic A phase transition in porous media. Chem Phys. 2001;264:91–99 and references therein. doi:10.1016/S0301-0104(00)00340-2
   Web of Science ®Google Scholar
• Kurik M, Lavrentovich O. Defects in liquid crystals: homotopy theory and experimental studies. Usp Fiz Nauk. 1988;154:381. [Sov. Phys. Usp. 31, 3 (1988)].
   Web of Science ®Google Scholar
• Crawford GP, Žumer S, editors. Liquid crystals in complex geometries formed by polymer and porous networks. London: Taylor & Francis; 1996.
   Google Scholar
• Kleman M, Lavrentovich O. Soft matter physics. Berlin: Springer; 2002.
   Google Scholar
• Palffy-Muhoray P. The diverse world of liquid crystals. Physics Today. 2007 Sep;54. doi:10.1063/1.2784685
   Web of Science ®Google Scholar
• Bellini T, Clark NA, Schaefer DW. Dynamic light scattering study of nematic and smectic-a liquid crystal ordering in silica aerogel. Phys Rev Lett. 1995;74:2740–2743. doi:10.1103/PhysRevLett.74.2740.
   PubMed Web of Science ®Google Scholar
• Kityk AV, Wolff M, Knorr K, et al. Continuous paranematic-to-nematic ordering transitions of liquid crystals in tubular silica nanochannels. Phys Rev Lett. 2008;101:187801. doi:10.1103/PhysRevLett.101.187801.
   PubMed Web of Science ®Google Scholar
• Iannacchione GS, Garland CW, Mang JT, Rieker TP. Calorimetric and small angle x-ray scattering study of phase transitions in octylcyanobiphenyl-aerosil dispersions. Phys Rev E. 1998;58:5966. doi:10.1103/PhysRevE.58.5966.
   Web of Science ®Google Scholar
• Hourri A, Bose T, Thoen J. Effect of silica aerosil dispersions on the dielectric properties of a nematic liquid crystal. Phys Rev E. 2001;63:051702. doi:10.1103/PhysRevE.63.051702.
   Web of Science ®Google Scholar
• Jin T, Finotello D. Aerosil dispersed in a liquid crystal: Magnetic order and random silica disorder. Phys Rev Lett. 2001;86:818. doi:10.1103/PhysRevLett.86.818.
   PubMed Web of Science ®Google Scholar
• Yamamoto J, Tanaka H. Transparent nematic phase in a liquid-crystal-based microemulsion. Nature. 2008;409:321–325. doi:10.1038/35053035.
   Web of Science ®Google Scholar
• Lebar A, Kutnjak Z, Tanaka H, et al. Phase separation in nematic microemulsions probed by one-dimensional spectroscopic deuteron magnetic resonance microimaging. Phys Rev E. 2008;78:031707. doi:10.1103/PhysRevE.78.031707.
   Google Scholar
• Anderson VJ, Terentjev EM, Meeker SP, et al. Cellular solid behaviour of liquid crystal colloids - 1. Phase separation and morphology. Eur Phys J E. 2001;4:11–20. doi:10.1007/PL00013680.
   Web of Science ®Google Scholar
• Popa-Nita V, Schoot P, Kralj S. Influence of a random field on particle fractionation and solidification in liquid-crystal colloid mixtures. Eur Phys J E. 2006;21:189–197. doi:10.1140/epje/i2006-10059-3.
   PubMed Web of Science ®Google Scholar
• Flory PJ. Principles of polymer chemistry. Ithaca (NY): Cornell University Press; 1953.
   Google Scholar
• Schoot P, Popa-Nita V, Kralj S. Alignment of carbon nanotubes in nematic liquid crystals. J Phys Chem B. 2008;112:4512–4518. doi:10.1021/jp712173n.
   PubMed Web of Science ®Google Scholar
• Popa-Nita V, Sluckin T, Kralj S. Waves at the nematic-isotropic interface: Thermotropic nematogen–non-nematogen mixtures. Phys Rev E. 2005;71:061706. doi:10.1103/PhysRevE.71.061706.
   Google Scholar
• Lebwohl PA, Lasher G. Nematic-liquid-crystal order - a Monte Carlo calculation. Phys Rev. 1972;6:426. doi:10.1103/PhysRevA.6.426.
   Web of Science ®Google Scholar
• Cleaver DJ, Kralj S, Sluckin TJ, et al. Chapter 21, The random anisotropy nematic spin model. In Crawford GP, Žumer S, editors. Liquid crystals in complex geometries formed by polymer and porous networks. Taylor and Francis; 1996.
   Google Scholar
• Fabbri U, Zannoni C, Monte A. Carlo investigation of the Lebwohl-Lasher lattice model in the vicinity of its orientational phase transition. Mol Phys. 1986;58:763–788. doi:10.1080/00268978600101561.
   Web of Science ®Google Scholar
• Cvetko M, Ambrožič M, Kralj S. Memory effects in randomly perturbed systems exhibiting continuous symmetry breaking. Liq Cryst. 2009;36:33–41. doi:10.1080/02678290802638431.
   Web of Science ®Google Scholar
• Popa-Nita V, Kralj S. Random anisotropy nematic model: nematic–non-nematic mixture. Phys Rev E. 2006;73:041705. doi:10.1103/PhysRevE.73.041705.
   Web of Science ®Google Scholar
• Repnik R, Ranjkesh A, Šimonka V, et al. Symmetry breaking in nematic liquid crystals: analogy with cosmology and magnetism. J Phys.: Condens Matter. 2013;25:404201–1–404201–10.
   PubMed Web of Science ®Google Scholar