Extrinsic curvature effects on nematic shells

Physical Review Letters

Volumn 108, Issue 20, 2012, Pages

  Napoli, Gaetano ^a   Vergori, Luigi ^a  

^a UNIVERSITY OF SALENTO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CURVATURE EFFECT; CURVED SURFACES; CYLINDRICAL SHELL; ELASTIC ENERGY; EXTERNAL MAGNETIC FIELD; FLUX LINES; GEOMETRICAL FRUSTRATIONS; NEMATIC DIRECTOR; NEMATICS; STABLE CONFIGURATION;

ALIGNMENT; MAGNETIC FIELDS; MOLECULAR ORIENTATION; NEMATIC LIQUID CRYSTALS;

GEOMETRY;

EID: 84861606035     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.108.207803     Document Type: Article

References (27)

1. P.-G. de Gennes and J. Prost, The Physics of Liquid Crystals (Oxford University, New York, 1995).
2. C. Uche, S.J. Elston, and L.A. Parry-Jones, J. Phys. D 38, 2283 (2005). JPAPBE 0022-3727 10.1088/0022-3727/38/13/030 (Pubitemid 40872117)
3. E. Lueder, in Liquid Crystal Displays: Addressing Schemes and Electro-Optical Effects (Wiley, Chichester, 2010).
4. D.R. Nelson, Nano Lett. 2, 1125 (2002). NALEFD 1530-6984 10.1021/nl0202096 (Pubitemid 135706481)
5. T. Lopez-Leon, V. Koning, K.B.S. Devaiah, V. Vitelli, and A.A. Fernandez-Nieves, Nature Phys. 7, 391 (2011). NPAHAX 1745-2473 10.1038/nphys1920
6. T. Lopez-Leon, A. Fernandez-Nieves, M. Nobili, and C. Blanc, Phys. Rev. Lett. 106, 247802 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.247802
7. J. Dervaux and M. Ben Amar, Phys. Rev. Lett. 101, 068101 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.068101
8. M.S. Spector, J.V. Selinger, A. Singh, J.M. Rodriguez, R.R. Price, and J.M. Schnur, Langmuir 14, 3493 (1998). LANGD5 0743-7463 10.1021/la980086y
9. J.V. Selinger, M.S. Spector, and J.M. Schnur, J. Phys. Chem. B 105, 7157 (2001). JPCBFK 1520-6106 10.1021/jp010452d (Pubitemid 35338937)
10. A.M. Turner, V. Vitelli, and D.R. Nelson, Rev. Mod. Phys. 82, 1301 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.1301
11. P. Nelson and T. Powers, Phys. Rev. Lett. 69, 3409 (1992). PRLTAO 0031-9007 10.1103/PhysRevLett.69.3409
12. C.D. Santangelo, V. Vitelli, R.D. Kamien, and D.R. Nelson, Phys. Rev. Lett. 99, 017801 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.017801 (Pubitemid 47150485)
13. P. Biscari and E.M. Terentjev, Phys. Rev. E PLEEE8 1539-3755 73, 051706 (2006). 10.1103/PhysRevE.73.051706
14. D. Nelson and L. Peliti, J. Phys. (Paris) JOPQAG 0302-0738 48, 1085 (1987). 10.1051/jphys:019870048070108500
15. W. Helfrich and J. Prost, Phys. Rev. A 38, 3065 (1988). PLRAAN 1050-2947 10.1103/PhysRevA.38.3065
16. V. Vitelli and D.R. Nelson, Phys. Rev. E PLEEE8 1539-3755 74, 021711 (2006). 10.1103/PhysRevE.74.021711 (Pubitemid 44319282)
17. J.R. Frank and M. Kardar, Phys. Rev. E PLEEE8 1539-3755 77, 041705 (2008). 10.1103/PhysRevE.77.041705 (Pubitemid 351561379)
18. M. Bowick and L. Giomi, Adv. Phys. 58, 449 (2009). ADPHAH 0001-8732 10.1080/00018730903043166
19. B.G. Chen and R.D. Kamien, Eur. Phys. J. E 28, 315 (2009). EPJSFH 1292-8941 10.1140/epje/i2008-10441-1
20. R.D. Kamien, D.R. Nelson, C.D. Santangelo, and V. Vitelli, Phys. Rev. E PLEEE8 1539-3755 80, 051703 (2009). 10.1103/PhysRevE.80.051703
21. G. Napoli and L. Vergori, arXiv:1112.0641.
22. M.P. do Carmo, Differential Geometry of Curves and Surfaces (Prentice-Hall, Englewood Cliffs, NJ, 1976).
23. H. Shin, M.J. Bowick, and X. Xing, Phys. Rev. Lett. 101, 037802 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.037802
24. B.A. DiDonna and R.D. Kamien, Phys. Rev. E PLEEE8 1063-651X 68, 041703 (2003). 10.1103/PhysRevE.68.041703
25. B. Malraison, Y. Poggi, and E. Guyon, Phys. Rev. A 21, 1012 (1980). PLRAAN 1050-2947 10.1103/PhysRevA.21.1012
26. N. Madhusudana and R. Pratibha, Mol. Cryst. Liq. Cryst. MCLCD8 1542-1406 89, 249 (1982). 10.1080/00268948208074481
27. I.W. Stewart, The Static and Dynamic Continuum Theory of Liquid Crystals (Taylor & Francis, London, 2004).