[1]章其林,刘红.双轴向列相液晶在外场中的周期性形变[J].南京师大学报(自然科学版),2007,30(02):47-50.
　Zhang Qilin,Liu Hong.Periodic Distortion of Biaxial Nematics Liquid Crystal Induced by External Magnetic Field[J].Journal of Nanjing Normal University(Natural Science Edition),2007,30(02):47-50.
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双轴向列相液晶在外场中的周期性形变()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第30卷
期数:
2007年02期
页码:
47-50
栏目:
物理学
出版日期:
2007-06-30

文章信息/Info

Title:
Periodic Distortion of Biaxial Nematics Liquid Crystal Induced by External Magnetic Field
作者:
章其林;刘红;
南京师范大学物理科学与技术学院, 江苏南京210097
Author(s):
Zhang Qilin; Liu Hong
School of Physical Science and Technology,Nanjing Normal University,Nanjing 210097,China
关键词:
双轴向列相液晶;  周期性形变;  弹性系数
Keywords:
b iax ia l nem atic liqu id crysta ; l periodic d isto rtion;  e lastic constants
分类号:
O753.2
摘要:
利用双轴向列相液晶的弹性能公式,研究在外场中双轴向列相液晶的周期性形变.利用数值计算得到外场阈值与系统弹性系数间的关系.并得到发生周期性形变的系统弹性系数间所满足的解析关系.结果表明在给定的Saupe弹性系数C2bc/Kba,Kcc/Kba下,发生周期性形变的Kbb/Kba值必须小于某一临界值kc.当Cb2c/Kba值增加,kc值增加,当Kcc/Kba减少,kc增加.这里Kbb、Kcc分别为指向矢a、c绕b,a、b绕c的扭曲弹性系数,Kba是a展曲、b弯曲的耦合系数,Cbc是b、c弯曲的耦合弹性系数.
Abstract:
The e lastic theo ry of biax ia l nem atics w as used to study the period ic distortion in an externa l field. Num erical resu lts o f thresho ld fie ld a re ob tained for g iven elastic constants, and an analytic re lation am ong e lastic constants fo r the sy stem w he re a periodic d istortion can ocurr is der ived. Resu lts show tha t for these system s, at g iven values o f Saupe’ s e lastic constants C2 bc /K ba, K cc /K ba, K b b /K ba must be sm a ller than a cr itica l va lue kc. When C2 bc /K ba increases, kc increases, w hen K cc /K ba decreases, kc increases. H ere, K bb, Kcc are the tw ist e lastic constants of d irectors a, c around b, a, b around c respectively. K ba is coupled constant of a sp lay, b bend. Cb c is a coupled elastic te rm for b, c bend. K ey

参考文献/References:

[ 1]  de Gennes P G, Prost J. The Physics of Liquid Cry sta l[M ]. Oxford: C larendon Press, 1993.
[ 2]  Lonberg F, M eye r R B. New ground sta te fo r the sp lay-Freder icksz transition in a po lym er nem atic liqu id crystal[ J]. Phy s Rev L, 1985, 55( 7): 718-721.
[ 3]  K in iU D. E ffect of w eak ancho ring on the g eneralized Freede ricksz transition in nem atics[ J]. Phsique, 1986, 47( 4): 1 829-1 842.
[ 4]  Barbero G, Evangelista L R, Le lidis I. Spontaneous per iodic d isto rtions in nem atic liqu id crysta ls: Dependence on the tilt ang le[ J] . Phy s Rev E, 2003, 67( 5): 051708-1-051708-4.
[ 5]  M iraldi E, O ldano C, Str igazzi A. Per iodic Freedericksz transition for nematic-liqu id-cry sta l ce lls w ith w eak anchor ing [ J].Phys Rev A, 1986, 34( 5): 4 348-4 352.
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　Wang Huanjing,Liu Hong.Phase Transitions From Isotropic to Biaxial Phase of Cross-Like Nematic Liquid Crystal Molecules[J].Journal of Nanjing Normal University(Natural Science Edition),2011,34(02):39.
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备注/Memo

备注/Memo:
作者简介: 章其林( 1982- ) , 硕士研究生, 主要从事理论物理的学习与研究. E-m ail:asdzhangq il in@ tom. com
通讯联系人: 刘红( 1958 -) , 女, 教授, 主要从事凝聚态物理的教学与研究. E-m ail:liuhong@ n jnu. edu. cn
更新日期/Last Update: 2013-05-05