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Long-Ranged Order and Flow Alignment in Sheared p-atic Liquid Crystals.

Luca Giomi1, John Toner2, Niladri Sarkar1

  • 1Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, Netherlands.

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We developed a hydrodynamic theory for p-atic liquid crystals, revealing novel behaviors in flowing anisotropic fluids. This new model explains long-ranged order and flow alignment previously unobserved in 2D liquid crystals.

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Area of Science:

  • Soft Matter Physics
  • Fluid Dynamics
  • Liquid Crystal Theory

Background:

  • Traditional liquid crystal theories often assume O(2) rotational symmetry.
  • Existing models struggle to explain behaviors in anisotropic fluids with discrete rotational symmetries.

Purpose of the Study:

  • To formulate a hydrodynamic theory for p-atic liquid crystals with generic p-fold rotational symmetry.
  • To uncover previously unknown aspects of flowing p-atic phases.

Main Methods:

  • Development of a novel order parameter tensor that captures discrete rotational symmetry.
  • Application of hydrodynamic theory to model the behavior of flowing p-atics.

Main Results:

  • Demonstration of the onset of long-ranged orientational order in p-atics under simple shear flow.
  • Identification of flow alignment as a possibility at large shear rates.
  • Unveiling phenomena not accounted for by O(2) symmetric theories.

Conclusions:

  • The new hydrodynamic theory provides a more comprehensive understanding of p-atic liquid crystals.
  • The findings highlight the importance of discrete rotational symmetry in fluid behavior.
  • This work opens new avenues for studying anisotropic fluid dynamics.