Universality of the close packing properties and markers of isotropic-to-tetratic crossover in quasi-one-dimensional superdisk fluid

Abstract

We study equilibrium states and ordering regimes of a quasi-one-dimensional system of hard superdisks (anisotropic particles interpolating between disks and squares) where the centers of the particles are constrained to move on a line. A continuous change from a quasi-isotropic to a tetratic regime is found upon increasing the density. Somewhat unexpected, for isobaric states, systems with larger and more anisotropic particles in the tetratic regime are denser than systems with smaller and less anisotropic particles in a quasi-isotropic regime. Close packing behaviour is characterised by exponents describing the behaviour of the pressure, the angular fluctuations and the angular correlation length. We obtain two universal, shape-independent relations between them.

Submission to SciPost

References in corpus (14)

• Dense Packings of Superdisks and the Role of Symmetry
• Hard-body models of bulk liquid crystals
• Understanding the ideal glass transition: Lessons from an equilibrium study of hard disks in a channel
• One-dimensional gas of hard needles
• Marginally jammed states of hard disks in a one-dimensional channel
• Universality in the jamming limit for elongated hard particles in one dimension
• 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
• Structural properties of hard-disk fluids under single-file confinement
• Three-step melting of hard superdisks in two dimensions
• One-dimensional fluids with second nearest-neighbor interactions
• Exploring anisotropic pressure and spatial correlations in strongly confined hard-disk fluids. Exact results
• Ordering properties of anisotropic hard bodies in one-dimensional channels
• On a conjecture concerning the Fisher--Widom line and the line of vanishing excess isothermal compressibility in simple fluids

Cited by in corpus (3)

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• Ordering and association of patchy particles in quasi-one-dimensional channel