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Continuous Rotation of Achiral Nematic Liquid Crystal Droplets Driven by Heat Flux

Jordi Ignés-Mullol, Guilhem Poy, and Patrick Oswald
Phys. Rev. Lett. 117, 057801 – Published 27 July 2016
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Abstract

Suspended droplets of cholesteric (chiral nematic) liquid crystals spontaneously rotate in the presence of a heat flux due to a temperature gradient, a phenomenon known as the Lehmann effect. So far, it is not clear whether this effect is due to the chirality of the phase and the molecules or only to the chirality of the director field. Here, we report the continuous rotation in a temperature gradient of nematic droplets of a lyotropic chromonic liquid crystal featuring a twisted bipolar configuration. The achiral nature of the molecular components leads to a random handedness of the spontaneous twist, resulting in the coexistence of droplets rotating in the two senses, with speeds proportional to the temperature gradient and inversely proportional to the droplet radius. This result shows that a macroscopic twist of the director field is sufficient to induce a rotation of the droplets, and that the phase and the molecules do not need to be chiral. This suggests that one can also explain the Lehmann rotation in cholesteric liquid crystals without introducing the Leslie thermomechanical coupling—only present in chiral mesophases. An explanation based on the Akopyan and Zeldovich theory of thermomechanical effects in nematics is proposed and discussed.

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  • Received 28 March 2016

DOI:https://doi.org/10.1103/PhysRevLett.117.057801

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Polymers & Soft MatterFluid Dynamics

Authors & Affiliations

Jordi Ignés-Mullol1,2,*, Guilhem Poy1, and Patrick Oswald1,†

  • 1Univ Lyon, ENS de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F-69342 Lyon, France
  • 2Universitat de Barcelona, Institute of Nanoscience and Nanotechnology (IN2UB) and Departament de Química Física, Martí i Franquès 1, 08028 Barcelona, Spain

  • *jignes@ub.edu
  • patrick.oswald@ens-lyon.fr

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Issue

Vol. 117, Iss. 5 — 29 July 2016

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Images

  • Figure 1
    Figure 1

    Optical micrograph of two twisted bipolar droplets of radius 25μm rotating in opposite directions. (a) t=0; (b) t=10s. TNI=45°C and ΔT=20°C. Images are taken using unpolarized red light illumination. The axis of the droplets lays on the image plane.

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  • Figure 2
    Figure 2

    (a) Period of rotation, Θ, as a function of droplet radius, R, for different temperature difference ΔT, and their fit to a straight line passing through the origin. (b) Product ΘΔT as a function of R. TNI=45°C.

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  • Figure 3
    Figure 3

    Period of rotation as a function of the radius at ΔT=20°C and different concentrations of SSY corresponding to different TNI. Circle: TNI=35°C, SSY conc. 0.88  mol/kg; Triangle: TNI=45°C, SSY conc. 0.95  mol/kg; Square: TNI=53°C, SSY conc. 1.0  mol/kg.

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  • Figure 4
    Figure 4

    Ratios of the splay (i=1), twist (i=2), and bend (i=3) integrals Ji over the dissipation integral Jd as a function of the twist angle α0. The value of i is indicated beside each curve. Inset: angle α0 and director surface field lines in a twisted bipolar droplet. The ζ axis is the bipole axis and the z axis is perpendicular to the glass plates and parallel to the temperature gradient.

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