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0003460295
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G. P. Crawford, S. Žumer, Taylor & Francis, London
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Liquid Crystals in Complex Geometries, edited by G. P. Crawford and S. Žumer (Taylor & Francis, London, 1996).
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Liquid Crystals in Complex Geometries
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14
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0000781195
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and references therein
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O. D. Lavrentovich, Liq. Cryst. 24, 117 (1998), and references therein.
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Lavrentovich, O.D.1
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16
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0001583455
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The frustration caused by the mismatch of the easy axes across the surface of the cavity or any other external forces is external and should not be mistaken for intrinsic frustration, which pertains to the intermolecular interaction and is also present in some liquid-crystalline systems [see, e.g., E. Fontes, P. A. Heiney, and W. H. de Jeu, Phys. Rev. Lett. 61, 1202 (1988)].
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Fontes, E.1
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23
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11544322292
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The transition from uniform to distorted structure is direct only within the director description of nematic order. In the Landau–de Gennes theory, the two structures are separated by the biaxial structure characterized by uniform director field and nonuniform profiles of the degrees of order and biaxiality—the so-called eigenvalue exchange configuration [P. Palffy-Muhoray, E. C. Gartland, and J. R. Kelly, Liq. Cryst. 16, 713 (1994)
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24
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0000687559
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However, deep in the nematic phase the biaxial structure is stable in a very narrow range of thicknesses so that it can be neglected without compromising the basic physics of the hybrid cell
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A. Šarlah and S. Žumer, Phys. Rev. E 60, 1821 (1999)]. However, deep in the nematic phase the biaxial structure is stable in a very narrow range of thicknesses so that it can be neglected without compromising the basic physics of the hybrid cell.
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Šarlah, A.1
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27
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85036149188
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Note that (Formula presented) does not exist for arbitrary values of d, (Formula presented) and (Formula presented) because (Formula presented) (the inverse square of (Formula presented) can be negative at small (Formula presented)’s. Up to second order in q, this expression is given by (Formula presented) which becomes negative for (Formula presented)’s larger than (Formula presented) The partition function of fluctuations is undefined beyond the structural transition—which is continuous
-
Note that (Formula presented) does not exist for arbitrary values of d, (Formula presented) and (Formula presented) because (Formula presented) (the inverse square of (Formula presented) can be negative at small (Formula presented)’s. Up to second order in q, this expression is given by (Formula presented) which becomes negative for (Formula presented)’s larger than (Formula presented) The partition function of fluctuations is undefined beyond the structural transition—which is continuous.
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30
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0032582533
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S. Herminghaus, K. Jacobs, K. Mecke, J. Bischof, A. Fery, M. Ibn-Elhaj, and S. Schlagowski, Science 282, 916 (1998).
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34
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5244323713
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G. S. Iannacchione, G. P. Crawford, S. Qian, J. W. Doane, D. Finotello, and S. Žumer, Phys. Rev. E 53, 2402 (1996).
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Iannacchione, G.S.1
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G. S. Iannacchione, C. W. Garland, J. T. Mang, and T. P. Rieker, Phys. Rev. E 58, 5966 (1998).
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Iannacchione, G.S.1
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