Competition between shape anisotropy and deformation in the ordering and close packing properties of quasi-one-dimensional hard superellipse fluids
arXiv:2503.18534 · doi:10.1103/jszf-cvdn
Abstract
We investigate the orientational ordering and close-packing behavior of a quasi-one-dimensional (q1D) system of hard superellipses, where the centers of the particles are confined to a line, but they can rotate freely within a two-dimensional plane. The particle shape is tuned between an ellipse and a rectangle by varying the deformation parameter (n). The elongation of the particle is changed using the aspect ratio (k). The pressure ratio between freely rotating and parallel hard superellipses, which displays a single peak, serves as an effective marker for the continuous structural change from quasi-isotropic to nematic ordering. Our findings reveal a competition between the parameters k and n, with k promoting nematic alignment and n favoring tetratic ordering. Notably, in the close-packing regime, the packing properties become independent of k, as the relevant exponents depend solely on n. Furthermore, certain combinations of these exponents exhibit universality, remaining invariant with respect to particle shape
References in corpus (27)
- Two-step melting in two dimensions: First-order liquid-hexatic transition
- 2D Melting: From Liquid-Hexatic Coexistence to Continuous Transitions
- Hard-disk equation of state: First-order liquid-hexatic transition in two dimensions with three simulation methods
- Crystalline Assemblies and Densest Packings of a Family of Truncated Tetrahedra and the Role of Directional Entropic Forces
- Entropically Patchy Particles: Engineering Valence through Shape Entropy
- Tetratic Order in the Phase Behavior of a Hard-Rectangle System
- Colloidal Hard Spheres: Triumphs, Challenges and Mysteries
- Hard-body models of bulk liquid crystals
- Revisiting the phase diagram of hard ellipsoids
- Self-diffusion in two-dimensional hard ellipsoid suspensions
- Phase diagram of two-dimensional hard ellipses
- Hard ellipses: Equation of state, structure and self-diffusion
- Understanding the ideal glass transition: Lessons from an equilibrium study of hard disks in a channel
- Static and dynamical properties of a hard-disk fluid confined to a narrow channel
- Glass-like behavior of a hard-disk fluid confined to a narrow channel
- The Inherent Structure Landscape Connection Between Liquids, Granular materials and the Jamming Phase Diagram
- One-dimensional gas of hard needles
- Correlation lengths in quasi-one-dimensional systems via transfer matrices
- Phase behaviour of hard cylinders
- Universality in the jamming limit for elongated hard particles in one dimension
- Marginally jammed states of hard disks in a one-dimensional channel
- Comment on "Kosterlitz-Thouless-type caging-uncaging transition in a quasi-one-dimensional hard disk system" [Phys. Rev. Research 2, 033351 (2020)]
- Equation of state of hard-disk fluids under single-file confinement
- Three-step melting of hard superdisks in two dimensions
- Demixing and tetratic ordering in some binary mixtures of hard superellipses
- Universality of the close packing properties and markers of isotropic-to-tetratic crossover in quasi-one-dimensional superdisk fluid
- In pursuit of the tetratic phase in hard rectangles