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Original Articles

Nematic order and phase transition dynamics under intense electric fields

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Pages 799-809 | Received 07 Jan 2013, Accepted 04 Mar 2013, Published online: 02 Apr 2013

References

  • Osseen , CW. 1933 . The theory of liquid crystals . Trans Faraday Soc. , 29 : 883 – 889 .
  • Franck , FC. 1958 . On the theory of liquid crystals . Discuss Faraday Soc. , 25 : 19 – 28 .
  • de Gennes , PG and Prost , J. 1993 . The physics of liquid crystals , Oxford : Clarendon Press .
  • de Gennes , PG. 1969 . Phenomenology of short-range-order effects in the isotropic phase of nematic materials . Phys Lett. , 30A : 454 – 455 .
  • Muševič , I , Škarabot , M , Tkalec , U , Ravnik , M and Žumer , S. 2006 . Two-dimensional nematic colloidal crystals self-assembled by topological defects . Science. , 313 : 954 – 958 .
  • Smalyukh , II , Lavrentovich , OD , Kuzmin , AN , Kachynski , AV and Prasad , PN. 2005 . Elasticity-mediated self-organization and colloidal interactions of solid spheres with tangential anchoring in a nematic liquid crystal . Phys Rev Lett. , 95 : 157801
  • Loudet , JC , Hanusse , P and Poulin , P. 2004 . Stokes drag on a sphere in a nematic liquid crystal . Science. , 306 : 1525
  • Tjipto , E , Cadwell , KD , Quinn , JF , Johnston , APR , Abbott , NL and Caruso , F. 2006 . Tailoring the interfaces between nematic liquid crystal emulsions and aqueous phases via layer-by-layer assembly . Nano Lett. , 6 : 2243 – 2248 .
  • Yi , Y , Lombardo , G , Ashby , N , Barberi , R , Maclennan , JE and Clark , NA. 2009 . Topographic-pattern-induced homeotropic alignment of liquid crystals . Phys Rev E. , 79 : 041701
  • Aliev , F and Basu , S. 2006 . Relaxation of director reorientations in nanoconfined liquid crystal: dynamic light scattering investigation . J Non-Cryst Solids. , 352 : 4983 – 4987 .
  • Kleman , M and Lavrentovich , OD. 2006 . Topological point defects in nematic liquid crystals . Philos Mag. , 86 : 4117 – 4137 .
  • Schopohl , N and Sluckin , TJ. 1987 . Defect core structure in nematic liquid crystals . Phys Rev Lett. , 59 : 2582 – 2584 .
  • Buscaglia , M , Lombardo , G , Cavalli , L , Barberi , R and Bellini , T. 2010 . Elastic anisotropy at a glance: the optical signature of disclination lines . Soft Matter. , 6 : 5434 – 5442 .
  • Barberi , R , Ciuchi , F , Durand , G , Iovane , M , Sikharulidze , D , Sonnet , A and Virga , EG. 2004 . Electric field induced order reconstruction in a nematic cell . Eur Phys J E. , 13 : 61 – 71 .
  • Virga , EG. 1994 . Variational theories for liquid crystals , London : Chapman and Hall .
  • Barberi , R , Ciuchi , F , Lombardo , G , Bartolino , R and Durand , GE. 2004 . Time resolved experimental analysis of the electric field induced biaxial order reconstruction in nematics . Phys Rev Lett. , 93 : 137801
  • Joly , S , Dozov , I and Martinot-Lagarde , P. 2006 . Comment on “Time resolved experimental analysis of the electric field induced biaxial order reconstruction in nematics” . Phys Rev Lett. , 96 : 019801
  • Barberi , R , Ciuchi , F , Ayeb , H , Lombardo , G , Bartolino , R and Durand , GE. 2006 . Reply . Phys Rev Lett. , 96 : 019802
  • Ciuchi , F , Ayeb , H , Lombardo , G , Barberi , R and Durand , GE. 2007 . Control of transient biaxial order in calamitic nematics . Appl Phys Lett. , 91 : 244104
  • Lombardo , G , Ayeb , H , Ciuchi , F , De Santo , MP , Barberi , R , Bartolino , R , Virga , EG and Durand , GE. 2008 . Inhomogeneous bulk nematic order reconstruction . Phys Rev E. , 77 : 020702
  • Ayeb , H , Ciuchi , F , Lombardo , G and Barberi , R. 2008 . Metallomesogens as biaxial dopants in a calamitic nematic liquid crystal . Mol Cryst Liq Cryst. , 481 : 73 – 79 .
  • Lombardo , G , Ayeb , H and Barberi , R. 2008 . Dynamical numerical model for nematic order reconstruction . Phys Rev E. , 77 : 51708
  • Carbone , G , Lombardo , G , Barberi , R , Musevic , I and Tkalec , U. 2009 . Mechanically induced biaxial transition in a nanoconfined nematic liquid crystal with a topological defect . Phys Rev Lett. , 103 : 167801
  • Qian , T and Sheng , P. 1999 . Biaxial ordering and field-induced configurational transition in nematic liquid crystals . Liq Cryst. , 26 : 229 – 233 .
  • Martinot-Lagarde , P , Dreyfus-Lambez , H and Dozov , I. 2003 . Biaxial melting of the nematic order under a strong electric field . Phys Rev E. , 67 : 51710
  • Biscari , P , Napoli , G and Turzi , S. 2006 . Bulk and surface biaxiality in nematic liquid crystals . Phys Rev E. , 74 : 031708
  • Ambrožič , M , Kralj , S and Virga , EG. 2007 . Defect-enhanced nematic surface order reconstruction . Phys Rev E. , 75 : 031708
  • Lee , CH , Raynes , EP and Elston , SJ. 2010 . The effect of high voltage on the bend transition in Pi-cells . Appl Phys Lett. , 97 : 153501
  • Ayeb , H , Lombardo , G , Ciuchi , F , Hamdi , R , Gharbi , A , Durand , GE and Barberi , R. 2010 . Surface order reconstruction in nematics . Appl Phys Lett. , 97 : 104104
  • Lombardo , G , Amoddeo , A , Hamdi , R , Ayeb , H and Barberi , R. 2012 . Biaxial surface order dynamics in calamitic nematics . Eur Phys J E. , 35 : 9711 – 9716 .
  • Amoddeo , A , Barberi , R and Lombardo , G. 2012 . Surface and bulk contributions to nematic order reconstruction . Phys Rev E. , 85 : 061705
  • Amoddeo , A , Barberi , R and Lombardo , G. 2010 . Moving mesh partial differential equations to describe nematic order dynamics . Comput Math Appl. , 60 : 2239 – 2252 .
  • Tang , T. 2005 . Moving mesh methods for computational fluid dynamics . Contemp Math. , 383 : 141 – 173 .
  • Amoddeo , A , Barberi , R and Lombardo , G. 2011 . Electric field-induced fast nematic order dynamics . Liq Cryst. , 38 : 93 – 103 .
  • Ambrožič , M , Bisi , F and Virga , EG. 2008 . Director reorientation and order reconstruction: competing mechanisms in a nematic cell . Continuum Mech Therm. , 20 : 193 – 218 .
  • Sonnet , AM , Maffettone , P and Virga , EG. 2004 . Continuum theory for nematic liquid crystals with tensorial order . J Non-Newton Fluid. , 119 : 51 – 59 .
  • Sonnet , AM and Virga , EG. 2001 . Dynamics of dissipative ordered fluids . Phys Rev E. , 64 : 031705
  • Brimicombe , PD and Raynes , EP. 2005 . The influence of flow on symmetric and asymmetric splay state relaxations . Liq Cryst. , 32 : 1273 – 1283 .
  • Anderson , J , Watson , P and Bos , P. 1999 . LC3D: liquid crystal display 3-D directory simulator, software and technology guide , Reading (MA) : Artech House .
  • Alexe-Ionescu , A. 1993 . Flexoelectric polarization and 2nd order elasticity for nematic liquid crystals . Phys Lett A. , 180 : 456 – 460 .
  • Beckett , G , Mackenzie , JA , Ramage , A and Sloan , DM. 2001 . On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution . J Comput Phys. , 167 : 372 – 392 .
  • de Boor , C. 1974 . “ Good approximation by splines with variable knots II ” . In Conference on the applications of numerical analysis , Edited by: Morris , J . Vol. 363 , 12 – 20 . Berlin : Springer–Verlag . (Lecture notes in mathematics
  • Pereyra , V and Sewell , EG. 1975 . Mesh selection for discrete solution of boundary problems in ordinary differential equations . Numer Math. , 2 : 261 – 268 .
  • Russell , RD and Christiansen , J. 1978 . Adaptive mesh selection strategies for boundary value problems . Siam J Numer Anal. , 15 : 59 – 80 .
  • White , AB. 1979 . On selection of equidistributing meshes for two-point boundary-value problems . Siam J Numer Anal. , 16 : 472 – 502 .
  • Huang , W. 2001 . Practical aspects of formulation and solution of moving mesh partial differential equations . J Comput Phys. , 171 : 753 – 775 .
  • Huang , W , Ren , Y and Russell , RD. 1994 . Moving mesh partial differential equations (MMPDEs) based upon the equidistribution principle . SIAM J Numer Anal. , 31 : 709 – 730 .
  • Ramage , A and Newton , CJP. 2007 . Adaptive solution of a one-dimensional order reconstruction problem in Q-tensor theory of liquid crystals . Liq Cryst. , 34 : 479 – 487 .
  • Beckett , G and Mackenzie , JA. 2000 . Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem . Appl Numer Math. , 35 : 87 – 109 .
  • Ratna , BR and Shashidhar , R. 1977 . Dielectric studies on liquid crystals of strong positive dielectric anisotropy . Mol Cryst Liq Cryst. , 42 : 113 – 125 .
  • COMSOL MultiphysicsTM. http://www.comsol.com/ (http://www.comsol.com/) (Accessed: 4 January 2013 ).
  • MatlabTM. http://www.mathworks.com (http://www.mathworks.com) (Accessed: 4 January 2013 ).
  • Zienkiewicz , O and Taylor , R. 2002 . The finite element method , Oxford : Butterworth–Heinemann .
  • Known , Y and Bang , H. 2000 . The finite element method using Matlab , Boca Raton , FL : CRC Press .
  • Alexe-Ionescu , AL , Barberi , R , Giocondo , M , Cnossen , G and van der Donk , TH. 1995 . Dependence of the nematic liquid crystal pretilt angle on the thickness of the orientation layer . Appl Phys Lett. , 66 : 1701 – 1703 .

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