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

Abstract

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 $\mathrm{O}(2)$ 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.

6 pages, 5 figures. arXiv admin note: text overlap with arXiv:2106.11957

References in corpus (3)

• Locomotion and transport in a hexatic liquid crystal
• Hydrodynamic theory of $p-$atic liquid crystals
• Driven active and passive nematics

Cited by in corpus (9)

• Hydrodynamic theory of $p-$atic liquid crystals
• Enhancing (quasi-)long-range order in a two-dimensional driven crystal
• Long-range translational order and hyperuniformity in two-dimensional chiral active crystal
• Hydrodynamic Enhancement of $p$-atic Defect Dynamics
• Massive Higher-Spin Fields in the Fractional Quantum Hall Effect
• Hydrodynamic stability and pattern formation in hexatic epithelial layers
• Collective epithelial migration mediated by the unbinding of hexatic defects
• Defect Interactions Through Periodic Boundaries in Two-Dimensional $p$-atics
• Control of collective activity to crystallize an oscillator gas