73
Views
1
CrossRef citations to date
0
Altmetric
Confined Liquid Crystals

Exotic liquid crystalline phases in monolayers of vertically vibrated granular particles

&
Pages 1261-1278 | Received 16 Nov 2022, Accepted 04 Apr 2023, Published online: 05 May 2023

References

  • Zhao K, Harrison C, Huse D, et al. Nematic and almost-tetratic phases of colloidal rectangles. Phys Rev E. 2007;76(4):040401R.
  • Zhao K, Bruinsma R, Mason TG. Local chiral symmetry breaking in triatic liquid crystals. Nat Commun. 2012;3(1):801.
  • Zhao K, Bruinsma R, Mason TG. Entropic crystal–crystal transitions of Brownian squares. PNAS. 2011;108(7):2684–2687.
  • Glotzer SC, Solomon MJ. Anisotropy of building blocks and their assembly into complex structures. Nat Mater. 2007;6(8):557–562.
  • Damasceno PF, Engeland M, Glotzer SC. Predictive self-assembly of polyhedra into complex structures. Science. 2012;337:453–457.
  • Wang D, Hermes M, Najmr S, et al. Structural diversity in three-dimensional self-assembly of nanoplatelets by spherical confinement. Nat Commun. 2022;13(1):6001.
  • de las Heras D, Martínez-Ratón Y, Mederos L, et al. Two-dimensional nematics in bulk and confined geometries. J Mol Liq. 2013;185:13–19.
  • Schlacken H, Mogel H-J, Schiller P. Orientational transitions of two-dimensional hard rod fluids. Mol Phys. 1998;93(5):777–787.
  • Martínez-Ratón Y, Velasco E, Mederos L. Effect of particle geometry on phase transitions in two-dimensional liquid crystals. J Chem Phys. 2005;122(6):064903.
  • Martínez-Ratón Y, Velasco E, Mederos L. Orientational ordering in hard rectangles: the role of three-body correlations. J Chem Phys. 2006;125(1):014501.
  • Martínez-Ratón Y, Díaz-De Armas A, Velasco E. Uniform phases in fluids of hard isosceles triangles: one-component fluid and binary mixtures. Phys Rev E. 2018;97(5):052703.
  • Martínez-Ratón Y, Velasco E. Failure of standard density functional theory to describe the phase behavior of a fluid of hard right isosceles triangles. Phys Rev E. 2021;104(5):054132.
  • Bates MA, Frenkel D. Phase behavior of two-dimensional hard rod fluids. J Chem Phys. 2000;112(22):10034.
  • Wojciechowski KW, Frenkel D. Tetratic phase in the planar hard square system? Comput Methods Sci Technol. 2004;10(2):235.
  • Donev A, Burton J, Stillinger FH, et al. Tetratic order in the phase behavior of a hard-rectangle system. Phys Rev B. 2006;73(5):054109.
  • Buhot A, Krauth W. Phase separation in two-dimensional additive mixtures. Phys Rev E. 1999;59(3):2939–2941.
  • Avendaño C, Escobedo FA. Phase behavior of rounded hard-squares. Soft Matter. 2012;8:4675–4681.
  • Anderson JA, Antonaglia J, Millan JA, et al. Shape and symmetry determine two-dimensional melting transitions of hard regular polygons. Phys Rev X. 2017;7:021001.
  • Triplett DA, Fitchhorn KA. Monte Carlo simulation of two-dimensional hard rectangles: confinement effects. Phys Rev E. 2008;77(1):011707.
  • Gantapara AP, Qi W, Dijkstra M. A novel chiral phase of achiral hard triangles and an entropy-driven demixing of enantiomers. Soft Matter. 2015;11:8684–8691.
  • Lewis AH, Garlea I, Alvarado J, et al. Colloidal liquid crystals in rectangular confinement: theory and experiment. Soft Matter. 2014;10:7865–7873.
  • Aranson IS, Tsimring LS. Patterns and collective behavior in granular media: theoretical concepts. Rev Mod Phys. 2006;78:641–692.
  • Olafsen JS, Urbach JS. Two-dimensional melting far from equilibrium in a granular monolayer. Phys Rev Lett. 2005;95:098002.
  • Narayan V, Menon N, Ramaswamy S. Nonequilibrium steady states in a vibrated-rod monolayer: tetratic, nematic, and smectic correlations. J Stat Mech. 2006;2006:P01005.
  • Galanis J, Harries D, Sackett DL, et al. Spontaneous patterning of confined granular rods. Phys Rev Lett. 2006;96:028002.
  • Galanis J, Nossal R, Losert W, et al. Nematic order in small systems: measuring the elastic and wall-anchoring constants in vibrofluidized granular rods. Phys Rev Lett. 2010;105:168001.
  • Garlea IC, Dammone O, Alvarado J, et al. Colloidal liquid crystals confined to synthetic tactoids. Sci Rep. 2019;9:20391.
  • Müller T, de las Heras D, Rehberg I, et al. Ordering in granular-rod monolayers driven far from thermodynamic equilibrium. Phys Rev E. 2015;91:062207.
  • Walsh L, Menon N. Ordering and dynamics of vibrated hard squares. J Stat Mech. 2016;2016:083302.
  • González-Pinto M, Borondo F, Martínez-Ratón Y, et al. Clustering in vibrated monolayers of granular rods. Soft Matter. 2017;13:2571–2582.
  • González-Pinto M, Renner J, de las Heras D, et al. Defects in vertically vibrated monolayers of cylinders. New J Phys. 2019;21:033002.
  • Harper ES, van Anders G, Glotzer SC. The entropic bond in colloidal crystals. PNAS. 2019;116:16703–16710.
  • Vo T, Glotzer SC. A theory of entropic bonding. PNAS. 2022;119:e2116414119.
  • Onsager L. The effects of shape on the interaction of colloidal particles. Ann N Y Acad Sci. 1949;51:627–659.
  • Reiss H, Frisch HL, Lebowitz JL. Statistical mechanics of rigid spheres. J Chem Phys. 1959;31:369–380.
  • Cotter MA, Martire DE. Statistical mechanics of rodlike particles. II. A scaled particle investigation of the aligned-isotropic transition in a fluid of rigid spherocylinders. J Chem Phys. 1970;52:1909–1919.
  • Cotter MA, Martire DE. Statistical mechanics of rodlike particles. III. A fluid of rigid spherocylinders with restricted orientational freedom. J Chem Phys. 1970;53:4500–4511.
  • Cotter MA, Wacker DC. Van der Waals theory of nematogenic solutions. I. Derivation of the general equations. Phys Rev A. 1978;18:2669–2675.
  • Lasher G. Nematic ordering of hard rods derived from a scaled particle treatment. J Chem Phys. 1970;53:4141–4146.
  • Barboy B, Gelbart W. Series representation of the equation of state for hard particle fluids. J Chem Phys. 1979;71:3053–3062.
  • Tarazona P, Cuesta JA, Martínez-Ratón Y. Density functional theories of hard particle systems. In: A. Mulero, (editor) Theory Simul Hard-Sphere Fluids Relat Syst. (Springer Berlin Heidelberg: Berlin, Heidelberg). Lect Notes Phys. 2008;753:247–341.
  • Martínez-Ratón Y, Velasco E, Mederos L. Demixing behavior in two-dimensional mixtures of anisotropic hard bodies. Phys Rev E. 2005;72:031703.
  • Torres-Díaz I, Hendely RS, Mishra A, et al. Hard superellipse phases: particle shape anisotropy and curvature. Soft Matter. 2022;18:1319–1330.
  • Martínez-Ratón Y, Velasco E. Effect of clustering on the orientational properties of a fluid of hard right isosceles triangles. Phys Fluids. 2022;34:037110.
  • Geng J, Selinger JV. Theory and simulation of two-dimensional nematic and tetratic phases. Phys Rev E. 2009;80:011707.
  • Garlea IC, Mulder P, Alvarado J, et al. Finite particle size drives defect-mediated domain structures in strongly confined colloidal liquid crystals. Nat Commun. 2016;7:12112.
  • de las Heras D, Velasco E. Domain walls in two-dimensional nematics confined in a small circular cavity. Soft Matter. 2014;10:1758–1766.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.