Symmetry of Nematic Phase and Oblique Axial Order

Yamashita, Mamoru; Torikai, Masashi

doi:10.1143/jpsj.75.104601

Cited by 3 publications

(9 citation statements)

References 25 publications

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“…We have an− other type of a system with biaxial symmetry in the phenom− ena of Freedericksz transition, where an external field and boundary walls compete with each other [1]. For example, at the field larger than the critical field in a homogeneous sys− tem, a splay deformation occurs, in which the splay direction is degenerate and a symmetry with respect to an oblique order is broken [11,23]. Usually, the Freedericksz transition is ana− lyzed by a uniaxial elastic theory, in which a deformation of director, denoting a direction of uniaxial symmetry axis, is solely taken into account [1].…”

Section: Discussionmentioning

confidence: 99%

“…First, formalisms of self−consistency equations for order pa− rameters and of Landau free energy at the bulk are reviewed [11,18] and those are generalized in forms to be applicable to the thin system sandwiched between parallel biaxial an− choring walls.…”

Section: Mean Field Formalism At Maier-saupe Modelmentioning

confidence: 99%

“…The fields, h u and h b , are related to the fields h z (= e a E 2 /3) and h x (= c a H 2 /3) due to anisotropies of electric and mag− netic susceptibilities, as [11] …”

Section: Bulk Nematics In Biaxial Fieldsmentioning

confidence: 99%

“…On the other hand, it is noteworthy that the nematic order cou− ples with both electric field and magnetic field. The system exposed to the electric field and magnetic field in the direc− tions perpendicular to each other is biaxial in itself, even though each constituent molecule has a cylindrical shape [10,11]. A global phase diagram in a couple of fields conju− gate to uniaxial and biaxial order parameters was already derived, in which the relation between a critical point ap− pearing in the system with positive anisotropy and the tricritical point appearing at the system with negative aniso− tropy was clarified [10].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Effects of fields and anchoring on biaxial nematic ordering

Yasen

Torikai

Yamashita

2009

Opto-Electronics Review

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Symmetry of a nematic liquid crystal phase is broken by an anchoring wall and also by an external field. Nematic system sandwiched between biaxial anchoring walls is introduced as a correspondent to a bulk nematic system exposed to a couple of fields, an electric field and a magnetic one in directions perpendicular to each other, and thermal behaviours of the system are studied. The crossover between a homeotropic structure and homogeneous one occurs, similarly to the bulk system in the fields, in which the anchoring condition of coexistence is shown to have the same expression as the one at the bulk. As to a characteristic phenomenon at the sandwiched system, it is proved that an appearance of a biaxial nematic order suppresses a uniaxial nematic order. A surface transition, i.e., a wetting phenomenon is shown to occur also in the biaxial nematics, even though the uniaxial order is suppressed therein.

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Section: Discussionmentioning

confidence: 99%

Section: Mean Field Formalism At Maier-saupe Modelmentioning

confidence: 99%

“…The fields, h u and h b , are related to the fields h z (= e a E 2 /3) and h x (= c a H 2 /3) due to anisotropies of electric and mag− netic susceptibilities, as [11] …”

Section: Bulk Nematics In Biaxial Fieldsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effects of fields and anchoring on biaxial nematic ordering

Yasen

Torikai

Yamashita

2009

Opto-Electronics Review

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“…For negative dielec− tric anisotropy, the first order transition changes to the sec− ond order [4,9], which corresponds to a phenomenon in a sandwiched system of planar structure [10]. In these cases, ordered phases are biaxial [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Molecular theoretic study of Freedericksz transition. Symmetry breaking of oblique axial order

Kio

Torikai

Yamashita

2009

Opto-Electronics Review

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Freedericksz transition, which is usually analyzed by an elastic theory, is studied on the basis of statistical mechanical ground, where nematics with positive dielectric anisotropy in homogeneous anchoring cell is exposed to an electric field in the direction of wall normal. In low temperature region, an oblique axial symmetry breaking occurs, which is nothing but the Freedericksz transition. In high temperature and high field region, biaxial nematic phase with principal axis parallel to the field direction at interior area of the system is proved to appear. A phase diagram on the field versus temperature plane is obtained and compared with the one at a bulk with common biaxial symmetry, where both of electric and magnetic fields are applied in directions perpendicular to each other. In the latter, no symmetry breaking occurs, in contrast with the former case above-mentioned, and the reason why this difference occurs is elucidated.

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Field-induced uniaxial and biaxial nematic phases in the Maier–Saupe–Zwanzig (MSZ) lattice model

Petri

Salinas

2017

Liquid Crystals

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Symmetry of Nematic Phase and Oblique Axial Order

Cited by 3 publications

References 25 publications

Effects of fields and anchoring on biaxial nematic ordering

Effects of fields and anchoring on biaxial nematic ordering

Molecular theoretic study of Freedericksz transition. Symmetry breaking of oblique axial order

Field-induced uniaxial and biaxial nematic phases in the Maier–Saupe–Zwanzig (MSZ) lattice model

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