THEORY OF THE NONEQUILIBRIUM PHASE-TRANSITION FOR NEMATIC LIQUID-CRYSTALS UNDER SHEAR-FLOW

被引:143
作者
OLMSTED, PD [1 ]
GOLDBART, P [1 ]
机构
[1] UNIV ILLINOIS, MAT RES LAB, URBANA, IL 61801 USA
来源
PHYSICAL REVIEW A | 1990年 / 41卷 / 08期
关键词
D O I
10.1103/PhysRevA.41.4578
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We consider the impact of shear flow on the isotropic-nematic transition in crystalline liquids by generalizing Leslie-Ericksen dynamics of nematic systems to include amplitude and biaxial degrees of freedom. Neglecting fluctuations, we find steady-state solutions to the equations of motion for the nematic order parameter and fluid velocity and interpret them in terms of nonequilibrium steady states. We predict a transition temperature increasing with shear rate up to a nonequilibrium critical point, and discuss the singular behavior of the order parameter and external stress near this point. © 1990 The American Physical Society.
引用
收藏
页码:4578 / 4581
页数:4
相关论文
共 20 条
[1]  
de Groot S. R., 1984, NONEQUILIBRIUM THERM
[3]  
DEGENNES PG, 1975, PHYSICS LIQUID CRYST
[4]   POISSON BRACKETS IN CONDENSED MATTER PHYSICS [J].
DZYALOSHINSKII, IE ;
VOLOVICK, GE .
ANNALS OF PHYSICS, 1980, 125 (01) :67-97
[5]  
ERICKSEN JL, 1960, ARCH RATION MECH AN, V4, P231
[6]   INEQUALITIES IN LIQUID CRYSTAL THEORY [J].
ERICKSEN, JL .
PHYSICS OF FLUIDS, 1966, 9 (06) :1205-&
[7]   LANDAU THEORY OF THE NEMATIC ISOTROPIC-PHASE TRANSITION [J].
GRAMSBERGEN, EF ;
LONGA, L ;
DEJEU, WH .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1986, 135 (04) :195-+
[9]  
LESLIE FM, 1968, ARCH RATION MECH AN, V28, P265
[10]   SOME CONSTITUTIVE EQUATIONS FOR ANISOTROPIC FLUIDS [J].
LESLIE, FM .
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1966, 19 :357-&