Long-ranged order and flow alignment in sheared $p-$atic liquid crystals
Abstract
We formulate a hydrodynamic theory of atic liquid crystals, namely two-dimensional anisotropic fluids endowed with generic fold rotational symmetry. Our approach, based on an order parameter tensor that directly embodies the discrete rotational symmetry of atic phases, allows us to unveil several unknown aspects of flowing atics, that previous theories, characterized by 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.
Cite
@article{arxiv.2111.04720,
title = {Long-ranged order and flow alignment in sheared $p-$atic liquid crystals},
author = {Luca Giomi and John Toner and Niladri Sarkar},
journal= {arXiv preprint arXiv:2111.04720},
year = {2022}
}
Comments
6 pages, 5 figures. arXiv admin note: text overlap with arXiv:2106.11957