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1. Azimuthal Anchoring Strength in Photopatterned Alignment of a Nematic

   https://doi.org/10.3390/cryst11060675  

   Padmini, H. Nilanthi; Rajabi, Mojtaba; Shiyanovskii, Sergij V.; Lavrentovich, Oleg D. (June 2021, Crystals)

   null (Ed.)

   Spatially-varying director fields have become an important part of research and development in liquid crystals. Characterization of the anchoring strength associated with a spatially-varying director is difficult, since the methods developed for a uniform alignment are seldom applicable. Here we characterize the strength of azimuthal surface anchoring produced by the photoalignment technique based on plasmonic metamsaks. The measurements used photopatterned arrays of topological point defects of strength +1 and −1 in thin layers of a nematic liquid crystal. The integer-strength defects split into pairs of half-integer defects with lower elastic energy. The separation distance between the split pair is limited by the azimuthal surface anchoring, which allows one to determine the strength of the latter. The strength of the azimuthal anchoring is proportional to the UV exposure time during the photoalignment of the azobenzene layer. 

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2. Co-revolving topological defects in a nematic liquid crystal

   Susser, Adam L.; Kralj, Samo; Rosenblatt, Charles (November 2021, Soft Matter)

   A patterned surface defect of strength m = +1 and its associated disclination lines can decompose into a pair of surface defects and disclination lines of strength m = +1/2. For a negative dielectric anisotropy liquid crystal subjected to an applied ac electric field E , these half-integer defects are observed to wobble azimuthally for E > than some threshold field and, for sufficiently large fields, to co-revolve antipodally around a central point approximately midway between the two defects. This behavior is elucidated experimentally as a function of applied field strength E and frequency ν , where the threshold field for full co-revolution scales as ν 1/2 . Concurrently, nematic electrohydrodynamic instabilities were investigated. A complete field vs. frequency “phase diagram” compellingly suggests that the induced fluctuations and eventual co-revolutions of the ordinarily static defects are coupled strongly to—and driven by—the presence of the hydrodynamic instability. The observed behaviour suggests a Lehmann-like mechanism that drives the co-revolution. 

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3. Transition from escaped to decomposed nematic defects, and vice versa

   Susser, Adam L.; Harkai, Saša; Kralj, Samo; Rosenblatt, Charles (May 2020, Soft Matter)

   An escaped radial director profile in a nematic liquid crystal cell can be transformed into a pair of strength m = +1/2 surface defects (and their associated disclination lines) at a threshold electric field. Analogously, a half-integer defect pair can be transformed at a threshold electric field into a director profile that escapes into the third dimension. These transitions were demonstrated experimentally and numerically, and are discussed in terms of topologically discontinuous and continuous pathways that connect the two states. Additionally, we note that the pair of disclination lines associated with the m = +1/2 surface defects were observed to co-rotate around a common point for a sufficiently large electric field at a sufficiently low frequency. 

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4. Electric field-induced crossover from 3D to 2D topological defects in a nematic liquid crystal: Experimental verification

   https://doi.org/10.1039/c9sm01733j  

   Ferris, Andrew J.; Afghah, Sajedeh; Selinger, Jonathan V.; Selinger, Robin L.; Rosenblatt, Charles (January 2019, Soft Matter)

   A substrate was patterned with two pairs of half-integer strength topological defects, (+½, +½) and (+½, −½). In a sufficiently thick cell, a disclination line runs in an arch above the substrate connecting the two half integer defects within each pair. The director around the disclination line for the like-sign pair must rotate in 3D, whereas for the opposite-sign defect pair the director lies in the xy-plane parallel to the substrate. For a negative dielectric anisotropy nematic, an electric field applied normal to the substrate drives the director into the xy-plane, forcing the arch of the disclination line of the like-sign pair to become extended along the z-axis. For sufficiently large field the arch splits, resulting in two nearly parallel disclination lines traversing the cell from one substrate to the other. The opposite-sign defect pair is largely unaffected by the electric field as the director already already lies in the xy-plane. Experimental results are presented, which are consistent with numerical simulations. 

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5. Fluctuations can induce local nematic order and extensile stress in monolayers of motile cells

   https://doi.org/10.1039/D0SM02027C  

   Vafa, Farzan; Bowick, Mark J.; Shraiman, Boris I.; Marchetti, M. Cristina (March 2021, Soft Matter)

   null (Ed.)

   Recent experiments in various cell types have shown that two-dimensional tissues often display local nematic order, with evidence of extensile stresses manifest in the dynamics of topological defects. Using a mesoscopic model where tissue flow is generated by fluctuating traction forces coupled to the nematic order parameter, we show that the resulting tissue dynamics can spontaneously produce local nematic order and an extensile internal stress. A key element of the model is the assumption that in the presence of local nematic alignment, cells preferentially crawl along the nematic axis, resulting in anisotropy of fluctuations. Our work shows that activity can drive either extensile or contractile stresses in tissue, depending on the relative strength of the contractility of the cortical cytoskeleton and tractions by cells on the extracellular matrix. 

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