Interface dynamics in liquid crystals

被引:35
作者
Chevallard, C [1 ]
Clerc, M [1 ]
Coullet, P [1 ]
Gilli, JM [1 ]
机构
[1] Inst Non Lineaire Nice, UMR 6618, CNRS, UNSA, F-06560 Valbonne, France
关键词
D O I
10.1007/PL00014597
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
We have experimentally observed the pattern instabilities of an Ising wall formed in a nematic or cholesteric liquid crystal layer. We have deduced an envelope equation, relevant close to the Freedericksz transition, from which we derived an equation for the dynamics of the interface in the vicinity of itu bifurcation. In the case of the zig-zag instability, this model is characterized by a conservative and variational order parameter whose gradient satisfies a Cahn-Hilliard equation. We have also investigated the influence of slightly broken symmetries on the dynamical behaviour of the system. The disappearance of the interface translational invariance or of the reflection symmetry along the wall axis may induce new interfacial patterns which have been both experimentally and theoretically pointed out.
引用
收藏
页码:179 / 188
页数:10
相关论文
共 52 条
[1]   SLOW MOTION FOR THE CAHN-HILLIARD EQUATION IN ONE SPACE DIMENSION [J].
ALIKAKOS, N ;
BATES, PW ;
FUSCO, G .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 90 (01) :81-135
[2]   METASTABLE PATTERNS FOR THE CAHN-HILLIARD EQUATION .1. [J].
BATES, PW ;
XUN, JP .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 111 (02) :421-457
[3]   DESTABILIZATION OF A FLAT NEMATIC-ISOTROPIC INTERFACE [J].
BECHHOEFER, J ;
SIMON, AJ ;
LIBCHABER, A ;
OSWALD, P .
PHYSICAL REVIEW A, 1989, 40 (04) :2042-2056
[4]  
BECHHOEFER J, 1994, SPATIO TEMPORAL PATT
[5]  
BENAMAR M, 1991, GROWTH FORM NONLINEA
[6]  
BODENSCHATZ E, 1990, NEW TRENDS NONLINEAR
[7]   MOTION OF WALLS IN A THIN NEMATIC FILM [J].
BROCHARD, F .
JOURNAL DE PHYSIQUE, 1972, 33 (5-6) :607-+
[8]   GEOMETRICAL MODELS OF INTERFACE EVOLUTION [J].
BROWER, RC ;
KESSLER, DA ;
KOPLIK, J ;
LEVINE, H .
PHYSICAL REVIEW A, 1984, 29 (03) :1335-1342
[9]  
BULAEVSKII LN, 1964, ZH EKSP TEOR FIZ, V18, P530
[10]  
Burgers JM., 1948, ADV APPL MECH, V1, P171, DOI 10.1016/S0065-2156(08)70100-5