Phase behaviour of V-shaped liquid crystal/polymer mixture

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Abstract

The phase behavior of mixtures of linear flexible polymers and V-shaped liquid crystals is inspected using a combination of Flory – Huggins theory of polymer solutions and Landau – de Gennes theory of nematic ordering. The influence of the architecture of V-shaped molecules on the system’s phase diagrams is examined.

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About the authors

M. A. Aliev

Emanuel Institute of Biochemical Physics, Russian Academy of Sciences

Author for correspondence.
Email: maasept@yandex.ru
Russian Federation, Moscow

S. B. Bibikov

Emanuel Institute of Biochemical Physics, Russian Academy of Sciences

Email: maasept@yandex.ru
Russian Federation, Moscow

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Supplementary files

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2. Fig. 1. Model of a V-shaped molecule formed by two rigid segments connected at an external angle α. The molecule consists of monomer units (designated as 1, 2… NA), the total number of which is equal to NA.

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3. Fig. 2. Phase diagrams of a polymer/V-shaped LC mixture at φ = 1/2 and different external angles between the LC segments: a – a = 0, b – a = 0.524 rad, c – a = 0.611 rad, d – a = 0.6106. Binodals are shown as solid lines, liquid–liquid spinodal – as a dotted line, liquid–nematic phase spinodal – as a dashed-dotted line. The letters C, E, and P denote, respectively, the critical point, the eutectic point, and the point corresponding to the smallest value X of the mixture composition at which the single-phase nematic state N is realized.

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4. Fig. 3. a – Phase diagram for a mixture of symmetric V-shaped molecules at a = 1.32 rad, NA = 4, NB = 10; b – behavior of eigenvalues ​​of tensor (2) depending on temperature. The solid line corresponds to the smallest ES, different from the other two coinciding ES (shown by the dotted line).

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5. Fig. 4. Phase diagrams of a polymer/V-shaped LC mixture at a fixed value of the angle between the segments (a = p/6) for different degrees of asymmetry φ of the liquid crystal: (a) φ = 0, (b) φ = 1/6, (c) φ = 1/3 and (d) φ = 1/2. The notations are the same as in Fig. 2.

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