Emergence of mixed orientational ordering in quasi-one-dimensional superdisk and superball fluids

Abstract

We report the discovery of a mixed orientational structure in the quasi-one-dimensional fluid of hard non-spherical bodies with the exact calculation of the thermodynamic and structural quantities using the transfer operator method. The mixed arrangement, which is spatially uniform, but orientionally ordered, cannot be identified with conventional mesophases such as tetratic, cubatic and nematic. It is found that the particles form a mixed orientational arrangement with preferred parallel and perpendicular orientations in a channel, where the number of parallel and perpendicularly oriented particles is not equal even at the close packing density. The mixed structure can be stabilized with hard bodies having equal side lengths in parallel and perpendicular orientations along the channel. These conditions can be realized with colloidal superdisks (superballs) if the curvature of neighboring sides (faces) are different. We show that even a small stretching of the superparticle destabilizes mixed ordering due to perfect nematic order evolving upon approaching close-packing.