Generalized hydrodynamic equations for nematic liquid crystals

被引:125
作者
Qian, TZ [1 ]
Sheng, P
机构
[1] Hong Kong Univ Sci & Technol, Dept Phys, Kowloon, Peoples R China
[2] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA
来源
PHYSICAL REVIEW E | 1998年 / 58卷 / 06期
关键词
D O I
10.1103/PhysRevE.58.7475
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We present a formulation of the nematic liquid crystal hydrodynamics based on the tensor order parameter, with the spatial variations of both the director and the scalar (uniaxial and biaxial) order parameters explicitly taken into account. New length and time scales are shown to arise that can be important for the switching dynamics of thin cells subject to large external fields. The Ericksen-Leslie theory is shown to be a special Limit of our formulation. [S1063-651X(98)13712-1].
引用
收藏
页码:7475 / 7485
页数:11
相关论文
共 25 条
[1]   ORDER ELECTRICITY AND SURFACE ORIENTATION IN NEMATIC LIQUID-CRYSTALS [J].
BARBERO, G ;
DOZOV, I ;
PALIERNE, JF ;
DURAND, G .
PHYSICAL REVIEW LETTERS, 1986, 56 (19) :2056-2059
[2]   LIQUID-CRYSTAL TWIST CELL DYNAMICS WITH BACKFLOW [J].
BERREMAN, DW .
JOURNAL OF APPLIED PHYSICS, 1975, 46 (09) :3746-3751
[3]  
De Groot SR, 2013, Non-Equilibrium Thermodynamics
[4]   PHENOMENOLOGY OF SHORT-RANGE-ORDER EFFECTS IN ISOTROPIC PHASE OF NEMATIC MATERIALS [J].
DEGENNES, PG .
PHYSICS LETTERS A, 1969, A 30 (08) :454-&
[6]   ORDER PARAMETER AND TEMPERATURE-DEPENDENCE OF THE HYDRODYNAMIC VISCOSITIES OF NEMATIC LIQUID-CRYSTALS [J].
DIOGO, AC ;
MARTINS, AF .
JOURNAL DE PHYSIQUE, 1982, 43 (05) :779-786
[7]   Fast bistable nematic display using monostable surface switching [J].
Dozov, I ;
Nobili, M ;
Durand, G .
APPLIED PHYSICS LETTERS, 1997, 70 (09) :1179-1181
[8]   ON THE THEORY OF LIQUID CRYSTALS [J].
FRANK, FC .
DISCUSSIONS OF THE FARADAY SOCIETY, 1958, (25) :19-28
[9]   TEMPERATURE DEPENDENCE OF VISCOSITY COEFFICIENTS OF LIQUID-CRYSTALS [J].
IMURA, H ;
OKANO, K .
JAPANESE JOURNAL OF APPLIED PHYSICS, 1972, 11 (10) :1440-+
[10]  
KILIAN A, 1989, Z NATURFORSCH A, V44, P693