Surface and finite-size effects on 
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 phase transitions in free-standing films

Oliveira, E. J. L. de; Melo, Djair; Pereira, Maria S. S.; Evangelista, L. R.; Oliveira, I. N. de

doi:10.1103/physreve.102.022702

Cited by 3 publications

(3 citation statements)

References 58 publications

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“…Both of these predictions could be experimentally tested on, e.g., free-standing liquid crystal films [37][38][39][40][41][42]. The latter is a powerful and well established setting, in which a thin film of liquid crystal is suspended in a wire frame and, possibly, set in motion by shearing the frame.…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic theory ofp-atic liquid crystals

2022

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We formulate a comprehensive hydrodynamic theory of two-dimensional liquid crystals with generic p-fold rotational symmetry, also known as p-atics, of which nematics (p = 2) and hexatics (p = 6) are the two best known examples. Previous hydrodynamic theories of p-atics are characterized by continuous O(2) rotational symmetry, which is higher than the discrete rotational symmetry of p-atic phases. By contrast, here we demonstrate that the discrete rotational symmetry allows the inclusion of additional terms in the hydrodynamic equations, which, in turn, lead to novel phenomena, such as the possibility of flow alignment at high shear rates, even for p > 2. Furthermore, we show that any finite imposed shear will induce long-ranged orientational order in any p-atic liquid crystal, in contrast to the quasi-long-ranged order that occurs in the absence of shear. The induced order parameter scales like a nonuniversal power of the applied shear rate at small shear rates.

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Section: Introductionmentioning

confidence: 99%

Hydrodynamic theory ofp-atic liquid crystals

2022

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“…Furthermore, using fluctuating hydrodynamics, we have demonstrated that a shear flow of arbitrary finite shear rate has the remarkable effect of turning quasi-long-ranged orientational order, i.e., the hallmark of two-dimensional liquid crystals at equilibrium, into long-ranged order. Our theory could be experimentally tested on, e.g., freestanding liquid crystal films [26][27][28][29][30][31]. It could also serve as a starting point for the development of a hydrodynamic description of epithelial tissues (see Ref.…”

Section: -3mentioning

confidence: 99%

Long-Ranged Order and Flow Alignment in Shearedp‐atic Liquid Crystals

2022

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We formulate a hydrodynamic theory of p-atic liquid crystals, namely, two-dimensional anisotropic fluids endowed with generic p-fold rotational symmetry. Our approach, based on an order parameter tensor that directly embodies the discrete rotational symmetry of p-atic phases, allows us to unveil several unknown aspects of flowing p-atics, that previous theories, characterized by O(2) rotational symmetry, could not account for. This includes the onset of long-ranged orientational order in the presence of a simple shear flow of arbitrary shear rate, as opposed to the standard quasi-long-ranged order of two-dimensional liquid crystals, and the possibility of flow alignment at large shear rates.

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“…the hallmark of two-dimensional liquid crystals at equilibrium, into long-ranged order. Our theory could be experimentally tested on, e.g., free-standing liquid crystal films [25][26][27][28][29][30]. It could also serve as a starting point for the development of a hydrodynamic description of epithelial tissues, in light of the remarkable link between epithelia and hexatic liquid crystals established in Ref.…”

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confidence: 92%

Long-ranged order and flow alignment in sheared $p-$atic liquid crystals

Giomi,

Toner,

Sarkar

2021

Preprint

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We formulate a hydrodynamic theory of p−atic liquid crystals, namely two-dimensional anisotropic fluids endowed with generic p−fold rotational symmetry. Our approach, based on an order parameter tensor that directly embodies the discrete rotational symmetry of p−atic phases, allows us to unveil several unknown aspects of flowing p−atics, that previous theories, characterized by O(2) rotational symmetry, could not account for. This includes the onset of long-ranged orientational order in the presence of a simple shear flow of arbitrary shear rate, as opposed to the standard quasi-long-ranged order of two-dimensional liquid crystals, and the possibility of flow alignment at large shear rates.

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Surface and finite-size effects on N−Sm−A−Sm−C phase transitions in free-standing films

Cited by 3 publications

References 58 publications

Hydrodynamic theory ofp-atic liquid crystals

Hydrodynamic theory ofp-atic liquid crystals

Long-Ranged Order and Flow Alignment in Shearedp‐atic Liquid Crystals

Long-ranged order and flow alignment in sheared $p-$atic liquid crystals

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