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We consider the orientational instabilities, both homogeneous and spatially periodic, developing in a nematic liquid crystal under rectilinear oscillatory Couette flow for director alignment perpendicular to the flow plane. Using numerical…

Soft Condensed Matter · Physics 2007-05-23 O. S. Tarasov , A. P. Krekhov , L. Kramer

We discuss orientational order in two dimensions in the context of systems with competing isotropic interactions at different scales. We consider an extension of the Brazovskii model for stripe phases including explicitly quartic terms with…

Soft Condensed Matter · Physics 2009-05-20 Daniel G. Barci , Daniel A. Stariolo

The structure of a molecular liquid, in both the nematic liquid crystalline and isotropic phases, around a cylindrical macroparticle, is studied using density functional theory. In the nematic phase the structure of the fluid is highly…

Soft Condensed Matter · Physics 2009-11-11 David L. Cheung , Michael P. Allen

This paper is the second in a pair treating a new lattice model for nematic media. In addition to the familiar isotropic (I) and nematically ordered (N) phases, the phase diagram established in the previous paper (Paper I) contains a new,…

Condensed Matter · Physics 2009-10-28 John Toner , Paul E. Lammert , Daniel S. Rokhsar

We investigate experimentally the dynamic phase transition of a two-dimensional active nematic layer interfaced with a passive liquid crystal. Under a temperature ramp that leads to the transition of the passive liquid into a highly…

The possible symmetries of the biaxial nematic phase are examined against the implications of the presently available experimental results. Contrary to the widespread notion that biaxial nematics have orthorhombic symmetry, our study shows…

Soft Condensed Matter · Physics 2010-04-15 Panagiota K. Karahaliou , Alexandros G. Vanakaras , Demetri J. Photinos

We find in a model system of thermotropic liquid crystals that the translational diffusion coefficient parallel to the director $D_{\parallel}$ first increases and then decreases as temperature drops through the nematic phase, and this…

Soft Condensed Matter · Physics 2009-11-11 Dwaipayan Chakrabarti , Biman Bagchi

Liquid crystals (LCs) composed of mesogens play important roles in various scientific and engineering problems. How a system with many mesogens can enter a LC state is an interesting and important problem. Using stiff and free-joint…

Extensions of a previously presented Landau-de Gennes type liquid crystalline phase transition model for the direct isotropic/smectic-A (lamellar) a phase transition to the direct isotropic/smectic-C (tilted lamellar) transition are…

Soft Condensed Matter · Physics 2008-12-02 Nasser Mohieddin Abukhdeir , Alejandro D. Rey

In liquid-crystalline elastomers, the nematic order parameter and the induced strain vary smoothly across the isotropic-nematic transition, without the expected first-order discontinuity. To investigate this smooth variation, we measure the…

Soft Condensed Matter · Physics 2009-11-07 J. V. Selinger , H. G. Jeon , B. R. Ratna

We carry out Monte Carlo simulations to investigate the effect of molecular shape on liquid-crystal order. In our approach, each model mesogen consists of several soft spheres bonded rigidly together. The arrangement of the spheres may be…

Soft Condensed Matter · Physics 2009-11-07 J. Xu , R. L. B. Selinger , J. V. Selinger , R. Shashidhar

Polyhedral nematics are examples of exotic orientational phases that possess a complex internal symmetry, representing highly non-trivial ways of rotational symmetry breaking, and are subject to current experimental pursuits in colloidal…

Statistical Mechanics · Physics 2018-01-29 Ke Liu , Jonas Greitemann , Lode Pollet

A third-order three-dimensional symmetric traceless tensor, called the \emph{octupolar} tensor, has been introduced to study tetrahedratic nematic phases in liquid crystals. The octupolar \emph{potential}, a scalar-valued function generated…

Mathematical Physics · Physics 2018-01-17 Yannan Chen , Liqun Qi , Epifanio G. Virga

The mechanics of a flexible membrane decorated with a nematic liquid-crystal texture is considered in a variational framework. The variations on the splay, twist and the bend energy of the nematics are obtained from the local deformations…

Soft Condensed Matter · Physics 2020-06-24 J. A. Santiago , F. Monroy

We develop a unified kinetic theory for ordered fluids, which systematically extends the phase space with the appropriate generalized angular momenta. Our theory yields a uniquely determined mesoscopic model for any continuum with…

Mathematical Physics · Physics 2026-04-02 José A. Carrillo , Patrick E. Farrell , Andrea Medaglia , Umberto Zerbinati

We show by means of continuum theory and simulations that geometric percolation in uniaxial nematics of hard slender particles is fundamentally different from that in isotropic dispersions. In the nematic, percolation depends only very…

Soft Condensed Matter · Physics 2019-03-07 Shari P. Finner , Tanja Schilling , Paul van der Schoot

The problem of heterogeneous nucleation of second-phase in alloys in the vicinity of elastic defects is considered. The defect can be a dislocation line or a crack tip residing in a crystalline solid. We use the Ginzburg-Landau equation to…

Materials Science · Physics 2011-10-07 Christina Bjerkén , Ali R. Massih

In nematic liquid crystals (NLCs), topological defects of a chiral origin play a role in phase transitions and lead to phase configurations of nontrivial topology, like those in neutron stars and helium in the A-phase. In the…

Soft Condensed Matter · Physics 2014-10-10 L. V. Elnikova

Nematic liquid crystals confined to geometrically as well as chemically patterned substrate on one end and a flat substrate with strong anchoring on the other is studied using non-Boltzmann Monte Carlo methods. We observe significant…

Soft Condensed Matter · Physics 2010-10-18 D. Jayasri , Regina Jose , K. P. N. Murthy , V. S. S. Sastry

We adopt a field theoretical approach to study the structure and thermodynamics of a homogeneous Maier-Saupe nematogenic fluid interacting with anisotropic Yukawa potential. In the mean field approximation we retrieve the standard…

Soft Condensed Matter · Physics 2012-02-22 M. Holovko , D. di Caprio , I. Kravtsiv