Point-Defect Haloing in Curved Nematic Films

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¹Division of Applied Physics, Graduate School of Engineering, Hokkaido University, Sapporo 060-8628, Japan²Division of Applied Physics, Faculty of Engineering, Hokkaido University, Sapporo 060-8628, Japan³Department of Applied Mathematics 3, LaCàN, Universitat Politècnica de Catalunya (UPC), Barcelona 08034, Spain

Received February 14, 2010; Accepted May 17, 2010; Published July 12, 2010

We investigate a correlation between the point disclination energies and the surface curvature modulation of nematic liquid crystal membranes with a Gaussian bump geometry. The correlation causes point disclinations to feel an attractive force that confines them to an annulus region, resulting in a halo distribution around the top of the bump. The halo formation is a direct consequence of the nonzero Gaussian curvature of the bump that affects preferable configurations of liquid crystal molecules around the disclination core.

https://doi.org/10.1143/JPSJ.79.074607

KEYWORDS: nematic liquid crystal, point disclination, curvature effect, numerical analysis

References

1 T. C.Lubensky and J.Prost: J. Phys. II 2 (1992) 371. Crossref, Google Scholar
2 D. R.Nelson:Nano Lett. 2 (2002) 1125. Crossref, Google Scholar
3 V.Vitelli and D. R.Nelson:Phys. Rev. E 74 (2006) 021711. Crossref, Google Scholar
4 G.Skačej and C.Zannoni:Phys. Rev. Lett. 100 (2008) 197802. Crossref, Google Scholar
5 H.Shin, M. J.Bowick, and X.Xing:Phys. Rev. Lett. 101 (2008) 037802. Crossref, Google Scholar
6 A.Fernandez-Nieves, V.Vitelli, A. S.Utada, D. R.Link, M.Márquez, D. R.Nelson, and D. A.Weitz:Phys. Rev. Lett. 99 (2007) 157801. Crossref, Google Scholar
7 T.Lopez-Leon and A.Fernandez-Nieves:Phys. Rev. E 79 (2009) 021707. Crossref, Google Scholar
8 X.Xing:Phys. Rev. Lett. 101 (2008) 147801. Crossref, Google Scholar
9 L. R.Gómez and D. A.Vega:Phys. Rev. E 79 (2009) 031701. Crossref, Google Scholar
10 C. D.Santangelo, V.Vitelli, R. D.Kamien, and D. R.Nelson:Phys. Rev. Lett. 99 (2007) 017801. Crossref, Google Scholar
11 K.Ichimura: Chem. Rev. 100 (2000) 1847. Crossref, Google Scholar
12 N.Kawatsuki, A.Hiraiwa, K.Tada, M.Kondo, and H.Ono: Jpn. J. Appl. Phys. 48 (2009) 120208. Crossref, Google Scholar
13 J.Fukuda, M.Yoneya, and H.Yokoyama:Phys. Rev. Lett. 98 (2007) 187803. Crossref, Google Scholar
14 J. S.Gwag, J.Fukuda, M.Yoneya, and H.Yokoyama:Appl. Phys. Lett. 91 (2007) 073504. Crossref, Google Scholar
15 J.Fukuda:J. Phys. Soc. Jpn. 78 (2009) 041003. Link, Google Scholar
16 J.Fukuda, M.Yoneya, and H.Yokoyama:Phys. Rev. E 79 (2009) 011705. Crossref, Google Scholar
17 H.Shima and Y.Sakaniwa:J. Phys. A 39 (2006) 4921. Crossref, Google Scholar
18 H.Shima and Y.Sakaniwa: J. Stat. Mech. (2006) P08017. Crossref, Google Scholar
19 I.Hasegawa, Y.Sakaniwa, and H.Shima:Surf. Sci. 601 (2007) 5232. Crossref, Google Scholar
20 S. K.Baek, P.Minnhagen, and B. J.Kim:Europhys. Lett. 79 (2007) 26002. Crossref, Google Scholar
21 V. L.Carvalho-Santos, A. R.Moura, W. A.Moura-Melo, and A. R.Pereira:Phys. Rev. B 77 (2008) 134450. Crossref, Google Scholar
22 Y.Sakaniwa and H.Shima:Phys. Rev. E 80 (2009) 021103. Crossref, Google Scholar
23 H.Shima:J. Phys. Soc. Jpn. 79 (2010) 074601. Link, Google Scholar
24 H.Shima, H.Yoshioka, and J.Onoe:Phys. Rev. B 79 (2009) 201401. Crossref, Google Scholar
25 S.Ono and H.Shima:Phys. Rev. B 79 (2009) 235407. Crossref, Google Scholar
26 H.Taira and H.Shima:J. Phys.: Condens. Matter 22 (2010) 075301. Crossref, Google Scholar
27 H.Taira and H.Shima:J. Phys.: Condens. Matter 22 (2010) 245302. Crossref, Google Scholar
28 P. G.de Gennes:The Physics of Liquid Crystals (Clarendon Press, Oxford, U.K., 1974). Google Scholar
29 N. D.Mermin:Rev. Mod. Phys. 51 (1979) 591. Crossref, Google Scholar
30 A. E.Romanov: Eur. J. Mech. A 22 (2003) 727. Crossref, Google Scholar
31 M.Kleman and J.Freidel:Rev. Mod. Phys. 80 (2008) 61. Crossref, Google Scholar
32 C. Y.Young, R.Pindak, N. A.Clark, and R. B.Meyer:Phys. Rev. Lett. 40 (1978) 773. Crossref, Google Scholar
33 W.Flügge:Tensor Analysis and Continuum Mechanics (Springer, Heidelberg, 1972). Crossref, Google Scholar
34 I. W.Stewart:The Static and Dynamic Continuum Theory of Liquid Crystals (Taylor & Francis, London, 2004). Google Scholar
35 M.Kleman and G.Ryschenkow:J. Chem. Phys. 64 (1976) 413. Crossref, Google Scholar
36 K. Y.Wong and A. F.Garito:Phys. Rev. A 34 (1986) 5051. Crossref, Google Scholar
37 R. R.Shah and N. L.Abbott:J. Phys. Chem. B 105 (2001) 4936. Crossref, Google Scholar
38 P. E.Cladis and M.Kléman: J. Phys. (Paris) 33 (1972) 591. Crossref, Google Scholar
39 V.Vitelli and A. M.Turner:Phys. Rev. Lett. 93 (2004) 215301. Crossref, Google Scholar
40 V.Vitelli and D. R.Nelson:Phys. Rev. E 70 (2004) 051105. Crossref, Google Scholar

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Point-Defect Haloing in Curved Nematic Films

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