The influence of surface effects on Frederiks transition in nematic liquid crystal doped with ferroelectric nanoparticles

doi:10.1088/1674-1056/27/4/046801

中国物理B ›› 2018, Vol. 27 ›› Issue (4): 46801-046801.doi: 10.1088/1674-1056/27/4/046801

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

The influence of surface effects on Frederiks transition in nematic liquid crystal doped with ferroelectric nanoparticles

Erfan Kadivar, Mojtaba Farrokhbin

1. Department of Physics, Shiraz University of Technology, Shiraz 71555-313, Iran;
2. Department of Physics, Faculty of Sciences, Yazd University, Yazd 89195-741, Iran

收稿日期:2017-11-11 修回日期:2018-01-03 出版日期:2018-04-05 发布日期:2018-04-05
通讯作者: Erfan Kadivar, Mojtaba Farrokhbin E-mail:erfan.kadivar@sutech.ac.ir;m.farrokhbin@gmail.com

The influence of surface effects on Frederiks transition in nematic liquid crystal doped with ferroelectric nanoparticles

Erfan Kadivar¹, Mojtaba Farrokhbin²

1. Department of Physics, Shiraz University of Technology, Shiraz 71555-313, Iran;
2. Department of Physics, Faculty of Sciences, Yazd University, Yazd 89195-741, Iran

Received:2017-11-11 Revised:2018-01-03 Online:2018-04-05 Published:2018-04-05
Contact: Erfan Kadivar, Mojtaba Farrokhbin E-mail:erfan.kadivar@sutech.ac.ir;m.farrokhbin@gmail.com

摘要/Abstract

摘要： Motivated by our recent work, in this work, we present the numerical study of the anchoring effect on the Frederiks threshold field in a nematic liquid crystal doped with ferroelectric colloidal nanoparticles. Assuming weak anchoring conditions, we employ the relaxation method and Maxwell construction to numerically solve the Euler-Lagrangian differential equation for the total free energy together the Rapini-Papoular surface energy to take into account anchoring of nematic liquid crystal molecules at the substrates. In this study, we focus our attention on obtaining the phase diagrams of Frederiks transition for different values of anchoring strength which have been not computed in our previous work. In this way, the effect of nanoparticle radius, nanoparticle volume fraction, nanoparticle polarization, and cell thickness on the Frederiks transition for different values of anchoring conditions are summarized in the phase diagrams. The numerical results show that by increasing the nanoparticles size and nanoparticle volume fraction in the ferronematic system, the Frederiks threshold field is strongly reduced.

关键词: anchoring surface effect, ferronematics, Frederiks transition, Maxwell construction

Abstract: Motivated by our recent work, in this work, we present the numerical study of the anchoring effect on the Frederiks threshold field in a nematic liquid crystal doped with ferroelectric colloidal nanoparticles. Assuming weak anchoring conditions, we employ the relaxation method and Maxwell construction to numerically solve the Euler-Lagrangian differential equation for the total free energy together the Rapini-Papoular surface energy to take into account anchoring of nematic liquid crystal molecules at the substrates. In this study, we focus our attention on obtaining the phase diagrams of Frederiks transition for different values of anchoring strength which have been not computed in our previous work. In this way, the effect of nanoparticle radius, nanoparticle volume fraction, nanoparticle polarization, and cell thickness on the Frederiks transition for different values of anchoring conditions are summarized in the phase diagrams. The numerical results show that by increasing the nanoparticles size and nanoparticle volume fraction in the ferronematic system, the Frederiks threshold field is strongly reduced.

Key words: anchoring surface effect, ferronematics, Frederiks transition, Maxwell construction

中图分类号: (Phase transitions and critical phenomena)

68.35.Rh

77.84.Nh (Liquids, emulsions, and suspensions; liquid crystals) 64.70.M- (Transitions in liquid crystals) 05.70.Np (Interface and surface thermodynamics)

Erfan Kadivar,Mojtaba Farrokhbin. The influence of surface effects on Frederiks transition in nematic liquid crystal doped with ferroelectric nanoparticles[J]. 中国物理B, 2018, 27(4): 46801-046801.

Erfan Kadivar, Mojtaba Farrokhbin. The influence of surface effects on Frederiks transition in nematic liquid crystal doped with ferroelectric nanoparticles[J]. Chin. Phys. B, 2018, 27(4): 46801-046801.

参考文献 52

[1]	Efron U 1995 Spatial Light Modulator Technology:Materials, Devices, and Applications (Dekker)
[2]	Bortolozzo U, Clerc M G, Falcon C, Residori S and Rojas R 2006 Phys. Rev. Lett. 96 214501
[3]	Residori S, Bortolozzo U, Huignard J P 2008 Phys. Rev. Lett. 100 203603
[4]	MÍnguez-Vega G, Supradeepa V R, Mendoza-Yero O and Weiner A M 2010 Opt. Lett. 35 2406
[5]	Alberucci A, Piccardi A, Bortolozzo U, Residori S and Assanto G 2010 Opt. Lett. 35 390
[6]	Maurer C, Jesacher A, Bernet S and Ritsch-Marte M 2011 Laser Photon. Rev. 5 81
[7]	Kaczmarek M and Dyadyusha A 2004 J. Appl. Phys. 96 2616
[8]	Cook G, Glushchenko A V, Reshetnyak V Yu, Beckel, E R, Saleh M A and Evans D R 2008 IEEE/LEOS Winter Topical Meeting Series, January 14-16, 2008, Sorrento, Italy, p. 129
[9]	Cook G, Glushchenko A V, Reshetnyak V, Griffith A T, Saleh M A and Evans D R 2008 Opt. Express 16 4015
[10]	Khoo I C 2007 Liquid crystals, 2nd edn. (New Jersey:John Wiley and Sons)
[11]	Beeckman J, Neyts K and Vanbrabant P J M 2011 Opt. Eng. 50 081202
[12]	Bahadur B 1990 Liquid Crystals Applications and Uses, Vol. 3(Toronto:World Scientific)
[13]	Brochard F and de Gennes P G 1970 J. Phys. 31 691
[14]	Burylov S V and Raikher Y L 1994 Phys. Rev. E 50 358
[15]	Raikher Yu L, Burylov S V and Zakhlevnykh A N 1987 J. Magn. Magn. Mater. 65 173
[16]	Raikher Y L and Stepanov V I 1999 J. Magn. Magn. Mater. 201 182
[17]	Burylov S V and Raikher Y L 1995 Mol. Cryst. Liq. Cryst. 258 123
[18]	Podoliak N, Buchnev O, DÁlessandro G, Kaczmarek M, Reznikov Y and Sluckin T J 2011 Soft Matter 7 4742
[19]	Dierking I, Scalia G and Morales P 2005 J. Appl. Phys. 97 44309
[20]	Al-Zangana S, Turner M and Dierking I 2017 J. Appl. Phys. 121 085105
[21]	Stark H 2001 Phys. Rep. 351 387
[22]	Smalyukh I I, Lavrentovich O D, Kuzmin A N, Kachynski A V and Prasad P N 2005 Phys. Rev. Lett. 95 157801
[23]	Yada M, Yamamoto J and Yokoyama H 2004 Phys. Rev. Lett. 92 185501
[24]	Poulin P, Stark H, Lubensky T C and Weitz D A 1997 Science 275 1770
[25]	Gu Y and Abbott N L 2000 Phys. Rev. Lett. 85 4719
[26]	Musevic I, Skarabot M, Tkalec U, Ravnik M and Zumer S 2006 Science 313 954
[27]	Hakobyan M R, Alaverdyan R B, Hakobyan R S and Chilingaryan Yu S 2014 Armen. J. Phys. 7 11
[28]	Reznikov Y, Buchnev O, Tereshchenko O, Reshetnyak V, Glushchenko A and West J 2003 Appl. Phys. Lett. 82 1917
[29]	Ouskova E, Buchnev O, Reshetnyak V, Reznikov Y and Kresse H 2003 Liq. Cryst. 30 1235
[30]	Bing G Y, Hai C Y, Ying X, Chun Q S and Zhan-Guo W 2011 Chin. Phys. Lett. 28 096101
[31]	Lopatina L M and Selinger J V 2009 Phys. Rev. Lett. 102 197802
[32]	Lopatina L M and Selinger J V 2011 Phys. Rev. E. 84 041703
[33]	Mukherjee P K 2017 J. Mol. Liq. 225 462
[34]	Mukherjee P K 2016 Europhys. Lett. 114 56002
[35]	Uchida T and Seki H 1992 In Liquid crystals:Applications and Uses, ed. Bahadur B, Vol. 3(Singapore:World Scientific) p. 63
[36]	Ge J J, Li C Y, Xue G, Mann I K, et al. 2001 J. Am. Chem. Soc. 123 5768
[37]	Toney M F, Russell T P, Logan J A, Kikuchi H, Sands J M and Kumar S K 1995 Nature 374 709
[38]	Yaroshchuk O and Reznikov Y 2012 J. Mater. Chem. 22 286
[39]	Rong-Hua G 2012 Acta Phys. Sin. 61 156102
[40]	Kadivar E, Bahr C and Stark H 2007 Phys. Rev. E 75 061711
[41]	Ying Z M, Merlitza H and Xua W C 2015 Chin. Phys. B 24 026101
[42]	Evans S D, Allinson H, Boden N, Flynn T M and Henderson J R 1997 J. Phys. Chem. B 101 2143
[43]	Ramdane O O, Auroy P, Forget S, Raspaud E, Martinot-Lagarde P and Dozov I 2000 Phys. Rev. Lett. 84 3871
[44]	Ruetschi M, Grutter J, Funfschilling J and Gunterodt H J 1994 Science 265 512
[45]	Farrokhbin M and Kadivar E 2016 Physica A 462 725
[46]	Rapini A and Papoular M 1969 J. Phys. (Paris) 30 54
[47]	Kadivar E 2009 Phys. Rev. E 80 011701
[48]	Shelestiuk S M, Reshetnyak V Y and Sluckin T J 2011 Phys. Rev. E 83 041705
[49]	Basu R and Iannacchione G S 2009 Appl. Phys. Lett. 95 173113
[50]	Blinov L M and Chigrinov V G 1994 Electrooptic Effects in Liquid Crystal Materials (New York:Springer)
[51]	Zadorozhnii V I, Sluckin T J, Reshetnyak V Y and Thomas K S 2008 SIAM J. Appl. Math. 68 1688
[52]	Napoli G 2006 J. Phys. A:Math. Gen. 39 11

The influence of surface effects on Frederiks transition in nematic liquid crystal doped with ferroelectric nanoparticles

The influence of surface effects on Frederiks transition in nematic liquid crystal doped with ferroelectric nanoparticles

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 52

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Xuanhao Fu(傅宣豪) and Xin Zhou(周昕). Different roles of surfaces' interaction on lattice mismatched/matched surfaces in facilitating ice nucleation[J]. 中国物理B, 2023, 32(2): 28202-028202.
[2]	Tian-Yi Wang(王天一), Zheng-Qing Zhou(周正青), Jian-Ping Peng(彭剑平),Yu-Kun Gao(高玉坤), and Ying-Hua Zhang(张英华). Influence of particle size on the breaking of aluminum particle shells[J]. 中国物理B, 2022, 31(7): 76107-076107.
[3]	Min Zhou(周敏), Xiang Jin(金香), Wen-Xing Wang(王文星), Lin Zheng(郑琳),Ru Xing(邢茹), Yi Lu(鲁毅), and Jian-Jun Zhao(赵建军). Structural, magnetic properties, critical behaviors and magnetic entropy changes of La_0.7-xGd_xCa_0.3MnO₃ (x = 0,0.05,0.1) manganites[J]. 中国物理B, 0, (): 66102-066102.
[4]	Zhe Zhang(张哲), Yan-Na Chen(陈艳娜), Ji Qi(齐迹), Zhao Zhang(张召), Koji Ohara, Osami Sakata, Zhi-Dong Zhang(张志东), and Bing Li(李昺). High-energy x-ray diffraction study on phase transition asymmetry of plastic crystal neopentylglycol[J]. 中国物理B, 2022, 31(3): 36802-036802.
[5]	Kexuan Zhang(张可璇), Lili Qu(屈莉莉), Feng Jin(金锋), Guanyin Gao(高关胤), Enda Hua(华恩达), Zixun Zhang(张子璕), Lingfei Wang(王凌飞), and Wenbin Wu(吴文彬). Extended phase diagram of La_1-xCa_xMnO₃ by interfacial engineering[J]. 中国物理B, 2021, 30(12): 126802-126802.
[6]	Ying-Yuan Deng(邓英远), Can Guo(郭灿), Jin-Cheng Wang(王锦程), Qian Liu(刘倩), Yu-Ping Zhao(赵玉平), and Qing Yang(杨卿). Phase-field study of spinodal decomposition under effect of grain boundary[J]. 中国物理B, 2021, 30(8): 88101-088101.
[7]	Han-Da Wang(王汉达), De-Di Liu(刘德弟), Yang-Yang He(何洋洋), Hong-Sheng Jia(贾洪声), Ran Liu(刘然), Bo Liu(刘波), Nai-Sen Yu(于乃森), Zhen-Yi Zhang(张振翼). [J]. 中国物理B, 2020, 29(10): 104209-.
[8]	李佳川, 魏英杰, 王聪, 夏维学. Cavity formation during water entry of heated spheres[J]. 中国物理B, 2018, 27(9): 94703-094703.
[9]	Erhan Albayrak. Magnetic phase diagrams of Fe-Mn-Al alloy on the Bethe lattice[J]. 中国物理B, 2017, 26(2): 20502-020502.
[10]	R Masrour, A Jabar. Effect of exchange interaction in ferromagnetic superlattices: A Monte Carlo study[J]. 中国物理B, 2016, 25(10): 107502-107502.
[11]	王理, 王蓉娟, 朱媛媛, 卢志红, 熊锐, 刘雍, 石兢. Phase transition and critical behavior ofspin-orbital coupled spinel ZnV₂O₄[J]. 中国物理B, 2016, 25(1): 16802-016802.
[12]	邱海波, 武丽伟. Coherent spin dynamics in spin-imbalanced ferromagnetic spinor condensates[J]. , 2015, 24(1): 10304-010304.
[13]	Yusuf Kocakaplan, Ersin Kantar. An effective-field theory study of hexagonal Ising nanowire：Thermal and magnetic properties[J]. 中国物理B, 2014, 23(4): 46801-046801.
[14]	H. Magoussi, A. Zaim, M. Kerouad. Effects of the trimodal random field on the magnetic properties of a spin-1 Ising nanotube[J]. 中国物理B, 2013, 22(11): 116401-116401.
[15]	R. Masrour, M. Hamedoun, A. Benyoussef. Mean-field and high temperature series expansion calculations of some magnetic properties of Ising and XY antiferromagnetic thin-films[J]. 中国物理B, 2012, 21(8): 87503-087503.