Nematic phases with spontaneous splay-bend deformation: standard elastic description

被引:19
作者
Lelidis, I. [1 ,2 ]
Barbero, G. [1 ,2 ]
机构
[1] Politecn Torino, Dipartimento Sci Applicata & Tecnol, Turin, Italy
[2] Univ Athens, Dept Phys, Solid State Sect, GR-10680 Athens, Greece
关键词
Splay-bend nematic; elastic instability; elastic theory; transitions in liquid crystals; BANANA-SHAPED MOLECULES; LIQUID-CRYSTAL DIMERS; 2ND-ORDER ELASTICITY;
D O I
10.1080/02678292.2015.1078917
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
Recently, possible deformed states in nematic liquid crystals have been discussed assuming that Frank's bend elastic constant is negative. The presence of a stable deformed state has been justified by introducing in the elastic energy density a term proportional to the second derivative square of the deformation parameter. This term, widely used in field theory, has been introduced in the elastic theory of liquid crystals mainly to investigate the effect of the splay-bend term in the nematic deformation in confined samples. Nevertheless, in the analysis of bulk properties this term is questionable. An alternative justification of possible spontaneous distortions in nematic liquid crystals is proposed. Our description of the elastic properties is based on an elastic energy density expanded to the fourth order in the deformation parameter. In this framework, we show that a stable nematic state characterised by a uniform deformation, related to a position-independent elastic energy density, is possible. [GRAPHICS] .
引用
收藏
页码:208 / 215
页数:8
相关论文
共 32 条
[21]  
LANDAU L, 1970, THEORIE ELASTICITE
[22]   Liquid crystal phases of achiral banana-shaped molecules: a computer simulation study [J].
Memmer, R .
LIQUID CRYSTALS, 2002, 29 (04) :483-496
[23]   Flexoelectrically Driven Electroclinic Effect in the Twist-Bend Nematic Phase of Achiral Molecules with Bent Shapes [J].
Meyer, C. ;
Luckhurst, G. R. ;
Dozov, I. .
PHYSICAL REVIEW LETTERS, 2013, 111 (06)
[24]   AN ABINITIO ANALYSIS OF THE 2ND-ORDER ELASTICITY EFFECT ON NEMATIC CONFIGURATIONS [J].
OLDANO, C ;
BARBERO, G .
PHYSICS LETTERS A, 1985, 110 (04) :213-216
[25]   Spontaneous Periodic Deformations in Nonchiral Planar-Aligned Bimesogens with a Nematic-Nematic Transition and a Negative Elastic Constant [J].
Panov, V. P. ;
Nagaraj, M. ;
Vij, J. K. ;
Panarin, Yu. P. ;
Kohlmeier, A. ;
Tamba, M. G. ;
Lewis, R. A. ;
Mehl, G. H. .
PHYSICAL REVIEW LETTERS, 2010, 105 (16)
[26]   Elastic constants of a nematic liquid crystal: Quadrupole-quadrupole interaction in the ellipsoidal approximation [J].
Ponti, S. ;
Freire, F. C. M. ;
Dias, J. C. ;
Evangelista, L. R. .
PHYSICS LETTERS A, 2008, 372 (43) :6521-6526
[27]   Intercalated liquid-crystalline phases formed by symmetric dimers with an α,ω-diiminoalkylene spacer [J].
Sepelj, Maja ;
Lesac, Andreja ;
Baumeister, Ute ;
Diele, Siegmar ;
Nguyen, H. Loc ;
Bruce, Duncan W. .
JOURNAL OF MATERIALS CHEMISTRY, 2007, 17 (12) :1154-1165
[28]   Predicting a Polar Analog of Chiral Blue Phases in Liquid Crystals [J].
Shamid, Shaikh M. ;
Allender, David W. ;
Selinger, Jonathan V. .
PHYSICAL REVIEW LETTERS, 2014, 113 (23)
[29]   Statistical mechanics of bend flexoelectricity and the twist-bend phase in bent-core liquid crystals [J].
Shamid, Shaikh M. ;
Dhakal, Subas ;
Selinger, Jonathan V. .
PHYSICAL REVIEW E, 2013, 87 (05)
[30]  
Sonin A.A., 1995, The Surface Physics of Liquid Crystals