J. Phys. Soc. Jpn. 77, 073001 (2008) [4 Pages]
LETTERS
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Received May 26, 2008; Accepted June 4, 2008; Published July 10, 2008
This Letter reports a transition to spatiotemporal chaos (STC) in an electroconvective system of a homeotropic nematic liquid crystal under a symmetry breaking. The homeotropic system has a continuous symmetry which leads to the occurring of STC at a threshold for convection. When the symmetry is broken by an external field, a periodic pattern appears first and then STC appears at a higher transition point. The transition from the periodic pattern to STC is investigated by order parameters which were obtained from spectra of convective patterns. The results are compared with the recent theoretical researches for the damped Nikolaevskiy equation.
©2008 The Physical Society of Japan
KEYWORDS: spatiotemporal chaos, electroconvection, nematic liquid crystal, homeotropic system, soft-mode turbulence, symmetry breaking, spatial periodic convection, order parameter, Nikolaevskiy equation
References
- 1 M. C.Cross and P. C.Hohenberg:Rev. Mod. Phys. 65 (1993) 851. Crossref, Google Scholar
- 2 K. R.Elder, J. D.Gunton, and N.Goldenfeld:Phys. Rev. E 56 (1997) 1631. Crossref, Google Scholar
- 3 X.-J.Li, H.-W.Xi, and J. D.Gunton:Phys. Rev. E 57 (1998) 1705. Crossref, Google Scholar
- 4 S.Kai, K.Hayashi, and Y.Hidaka:J. Phys. Chem. 100 (1996) 19007. Crossref, Google Scholar
- 5 Y.Hidaka, K.Tamura, and S.Kai:Prog. Theor. Phys. Suppl. 161 (2006) 1. Crossref, Google Scholar
- 6 H.-W.Xi, X.-J.Li, and J. D.Gunton:Phys. Rev. Lett. 78 (1997) 1046. Crossref, Google Scholar
- 7 V. N.Nikolaevskiy: inRecent Advances in Engineering Science. , ed. S. L.Koh and C. G.Speciale (Springer, Berlin, 1989) Lecture Notes in Engineering, No. 39, p. 210. Google Scholar
- 8 M. I.Tribelsky and K.Tsuboi:Phys. Rev. Lett. 76 (1996) 1631. Crossref, Google Scholar
- 9 P. C.Matthews and S. M.Cox:Phys. Rev. E 62 (2000) R1473. Crossref, Google Scholar
- 10 H.Fujisaka, T.Honkawa, and T.Yamada:Prog. Theor. Phys. 109 (2003) 911; D.Tanaka:Phys. Rev. E 71 (2005) 025203. Crossref, Google Scholar
- 11 S. M.Cox and P. C.Matthews:Phys. Rev. E 76 (2007) 056202. Crossref, Google Scholar
- 12 M. I.Tribelsky: private communication. Google Scholar
- 13 M. I.Tribelsky:Phys. Rev. E 77 (2008) 035202. Crossref, Google Scholar
- 14 A.Hertrich, W.Decker, W.Pesch, and L.Kramer: J. Phys. II 2 (1992) 1915. Crossref, Google Scholar
- 15 J.-H.Huh, Y.Hidaka, and S.Kai:J. Phys. Soc. Jpn. 67 (1998) 1948. Link, Google Scholar
- 16 A. G.Rossberg and L.Kramer: Phys. Scr.T 67(1996)121; Crossref;, Google ScholarA. G.Rossberg:Ph. D. thesis, Universität Bayreuth, Bayreuth(1997). Google Scholar
- 17 W.Zimmermann and L.Kramer:Phys. Rev. Lett. 55 (1985) 402. Crossref, Google Scholar
- 18 E.Bodenschatz, W.Zimmermann, and L.Kramer: J. Phys. (Paris) 49 (1988) 1875. Crossref, Google Scholar
- 19 J.-H.Huh, Y.Hidaka, and S.Kai:J. Phys. Soc. Jpn. 68 (1999) 1567. Link, Google Scholar
- 20 R.Anugraha, K.Tamura, Y.Hidaka, N.Oikawa, and S.Kai:Phys. Rev. Lett. 100 (2008) 164503. Crossref, Google Scholar
- 21 N.Oikawa, Y.Hidaka, and S.Kai:Prog. Theor. Phys. Suppl. 161 (2006) 320. Crossref, Google Scholar
- 22 A. G.Rossberg, A.Hertrich, L.Kramer, and W.Pesch:Phys. Rev. Lett. 76 (1996) 4729. Crossref, Google Scholar
- 23 M. I.Tribelsky and M. G.Velarde:Phys. Rev. E 54 (1996) 4973. Crossref, Google Scholar
- 24 H.W.Xi, R.Toral, J. D.GuntonandM. I.Tribelsky:Phys. Rev. E 62(2000)R17. Crossref, Google Scholar
- 25 In ref. [11]the transition by the decrease of the damping parameter corresponding to H was discussed. Google Scholar
- 26 S.Kai, M.Kohno, M.Andoh, M.Imasaki, and W.Zimmermann:Mol. Cryst. Liq. Cryst. 198 (1991) 247. Crossref, Google Scholar
- 27 K.Tamura, R.Anugraha, R.Matsuo, Y.Hidaka, and S.Kai:J. Phys. Soc. Jpn. 75 (2006) 063801. Link, Google Scholar