[1]骆文玲,刘红.Y形分子系统相变的蒙特卡罗模拟[J].南京师大学报(自然科学版),2010,33(03):26-31.
 Luo Wenling,Liu Hong.Monte Carlo Simulation of Biaxial Phase Transitions in Y-Shaped Molecular System[J].Journal of Nanjing Normal University(Natural Science Edition),2010,33(03):26-31.
点击复制

Y形分子系统相变的蒙特卡罗模拟()
分享到:

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

卷:
第33卷
期数:
2010年03期
页码:
26-31
栏目:
物理学
出版日期:
2010-09-20

文章信息/Info

Title:
Monte Carlo Simulation of Biaxial Phase Transitions in Y-Shaped Molecular System
作者:
骆文玲;刘红;
南京师范大学物理科学与技术学院, 江苏南京210097
Author(s):
Luo WenlingLiu Hong
School of Physics and Technology,Nanjing Normal University,Nanjing 210097,China
关键词:
蒙特卡罗模拟 双轴向列相 相变
Keywords:
M onte Car lo simu lation biax ia l nem atics phase transition
分类号:
O753.2
摘要:
运用蒙特卡罗方法模拟Y形液晶分子系统的相变,得到从各向同性相至单轴向列相、单轴向列相至双轴向列相的相变,并给出在分子夹角与温度关系平面内的相图.结果表明,双轴向列相的产生与分子的双轴性有关.由蒙特卡罗模拟得到了Landau点(在该点,系统直接从各向同性相进入双轴相)温度与分子结构参数,如夹角、棒长之间的关系,并将其与平均场理论得到的结果进行比较.
Abstract:
Monte C arle sim ulation is carr ied out to study the phase behav io r in Y- shaped liqu id c rystal m o lecular system. The phase transitions from isotropic to un iax ial nem atic and from un iax ial nem atic to b iax ia l nem a tic phase are obta ined, and the phase d iagram s in the plane ofm o lecular interarm ang le and temperature are g iven. The resu lt show s that the occurrence o f b iax ial nem atic phase is c lo se ly re la ted to the mo lecu la r b iax ia lity. The re la tion between Landau po int ( at wh ich system d irectly go es from iso trop ic to biax ia l phase) tem pera ture and mo lecu lar structure param eters such as interarm ang le, arm s. leng th ra tio is ob tained from M onte C arlo s imu lation and is compared w ith tha t from m ean fie ld theory de riv ation.

参考文献/References:

[ 1] Fre iserM J. Ordered sta tes o f a nem a tic liqu id[ J]. Phy s Rev Lett, 1970, 24( 19): 1 041-1 043.
[ 2] Yu L J, Saupe A. Observ ation o f a biax ia l nem atic phase in po tass ium Laurate-1-Decano-lW a ter m ixtures[ J] . Phys Rev Le tt, 1980, 45( 12) : 1 000-1 003.
[ 3] A lben R. Phase trans itions in a flu id of b iax ial pa rtic les[ J]. Phys Rev Lett, 1973, 30( 17): 778-781.
[ 4] A charya B R, Prim ak A, Kuma r S. B iax ia l nem atic phase in Bent-Co re thermo trop icm esogens[ J] . Phys Rev Lett, 2004, 92( 14) : 145506 1-4.
[ 5] M e rkel K, Kocot A, V ij J K, et a .l Thermo trop ic b iax ia l nema tic phase in liqu id crysta lline o rgano- silox ane tetrapodes[ J]. Phys Rev Lett, 2004, 93( 23): 237801 1-4.
[ 6] Prasad V, Kang SW, Suresh K A, e t a.l Therm otropic un iax ia l and b iax ia l nem a tic and Smec tic phases in bent- co re m esogens[ J]. J Am Chem Soc, 2005, 127( 17): 17 224-17 227.
[ 7] M adsen L A, D ing em ans T J, N akataM, et a .l The rmo trop ic b iax ial nem atic liqu id crystals[ J]. Phys Rev Lett, 2004, 92 ( 14): 145505 1-4.
[ 8] Figue irinhas J L, C ruz C, Filip D, et a.l Deu terium NMR investigation of the biax ia l nem atic phase in an org anosiloxane tetrapode[ J]. Phys Rev Lett, 2005, 94( 10): 107802 1-4.
[ 9] BatesM A, Luckhurst G R. B iax ia l nem atic phases and V-shaped m o lecule: aM onte Car lo simu la tion study[ J]. Phys Rev E, 2005, 72( 5): 051702 1-4.
[ 10] 刘红, 王慧. 双轴性向列相液晶的相变理论[ J]. 物理学报, 2005, 54( 3): 1 306-1 312
[ 11] Lebwohl P A, Lasher G. N em atic liqu id crysta l order) ) ) A M onte Carlo ca lculation[ J]. Phys Rev A, 1972, 6( 1): 426- 428.
[ 12] de Gennes P G. The Phys ics o f L iqu id C rysta ls[M ]. Oxford: Oxford Un iversity Press, 1974.

备注/Memo

备注/Memo:
基金项目: 江苏省普通高校自然科学研究项目( 07JKD140095 ). 通讯联系人: 刘 红, 教授, 博士, 研究方向: 液晶物理. E-m ail:liuhong@ njnu. edu. cn
更新日期/Last Update: 2013-04-08