Nonlinear theory of dislocations in smectic crystals: An exact solution

被引：33
|
作者：
Brener, EA [1 ]
Marchenko, VI
机构：
[1] Forschungszentrum Julich, Inst Festkorperforsch, D-52425 Julich, Germany
[2] RAS, PL Kapitza Phys Problems Inst, Moscow 117334, Russia
来源：
PHYSICAL REVIEW E | 1999年 / 59卷 / 05期
关键词：
D O I：
10.1103/PhysRevE.59.R4752
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：
It is shown that the strain field of an edge dislocation in a smectic crystal must be described in the framework of nonlinear theory, even far away from the core region. We present an exact solution of this nonlinear problem. The result of the linear theory is recovered in the limit of large bending rigidity. [S1063-651X(99)50605-3].
引用
收藏
页码：R4752 / R4753
页数：2
相关论文
共 50 条
  • [1] Nonlinear theory of dislocations in smectic crystals: An exact solution
    Brener, Efim A.
    Marchenko, V.I.
    Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1999, 59 (5 A):
  • [2] THE THEORY OF DISLOCATIONS IN SMECTIC-A LIQUID-CRYSTALS
    LOGINOV, EB
    TERENTYEV, EM
    KRISTALLOGRAFIYA, 1985, 30 (01): : 10 - 16
  • [3] The topology of dislocations in smectic liquid crystals
    Kamien, Randall D.
    Mosna, Ricardo A.
    NEW JOURNAL OF PHYSICS, 2016, 18
  • [4] Nonlinear continuum theory of smectic-A liquid crystals
    Weinan, E
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1997, 137 (02) : 159 - 175
  • [5] Composite Dislocations in Smectic Liquid Crystals
    Aharoni, Hillel
    Machon, Thomas
    Kamien, Randall D.
    PHYSICAL REVIEW LETTERS, 2017, 118 (25)
  • [6] Nonlinear Continuum Theory¶of Smectic-A Liquid Crystals
    E. Weinan
    Archive for Rational Mechanics and Analysis, 1997, 137 : 159 - 175
  • [7] GAUGE FIELD-THEORY OF DISLOCATIONS IN SMECTIC-A LIQUID-CRYSTALS
    KLEINERT, H
    JOURNAL DE PHYSIQUE, 1983, 44 (03): : 353 - 357
  • [8] NONLINEAR CONTINUUM THEORY OF SMECTIC-C LIQUID CRYSTALS
    Tang, Qiao
    Zhang, Hui
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2015, 13 (07) : 1787 - 1801
  • [9] EDGE DISLOCATIONS IN SMECTIC-A LIQUID CRYSTALS
    Ambrozic, M.
    Slavinec, M.
    Kralj, S.
    NONLINEAR DIELECTRIC PHENOMENA IN COMPLEX LIQUIDS, 2005, 157 : 241 - 246
  • [10] EXACT SOLUTION IN A NONLINEAR-THEORY OF RODS
    WHITMAN, AB
    DESILVA, CN
    JOURNAL OF ELASTICITY, 1974, 4 (04) : 265 - 280
12345