arXiv subjects

Sakineh Mizani

Publications and source records attributed to Sakineh Mizani.

5 recordsLinked to original sources

arXiv2026

Structural crossovers of quasi-one-dimensional patchy hard superellipses

We study a quasi-one-dimensional associating fluid composed of hard superellipses carrying two patches interacting through a directional Kern--Frenkel potential. Using the Transfer Operator Method, we show that the selective patch--patch association promotes horizontal alignment and chain formation at low-to-intermediate densities, whereas hard-core interaction favours vertical alignment without bonds at high densities. The competition between these two mechanisms drives a structural crossover upon compression from a horizontally aligned bonded chain structure to a completely unbonded, vertically aligned structure. While patchy ellipses undergo a tilted-to-vertical realignment, patchy rectangle-like superellipses exhibit a horizontal-to-vertical change. These structural changes manifest as a plateau in the equation of state. To capture these properties, we generalise Wertheim's first-order thermodynamic perturbation theory by introducing an orientation-dependent fraction of sites not in a bond. When combined with the Parsons--Lee hard-body theory, the orientationally resolved perturbation theory provides quantitatively reliable results for the structural properties and phase behaviour. Therefore, the generalised Wertheim theory together with Parsons-Lee theory can be suitable in higher dimensions, too.

cond-mat.soft↗

arXiv2026

Orientational ordering and close packing properties of quasi-one-dimensional hard Gaussian overlap particles

We investigate the orientational ordering and close-packing behavior of hard Gaussian overlap (HGO) particles, which are confined into a quasi-one-dimensional (q1D) channel. In the channel, particles are allowed to move along the channel and to rotate in three dimensions. Using the transfer operator method, we show that oblate particles align with their short axes along the channel, while prolate particles favor planar alignment perpendicular to the axis of the channel. While perfect orientational ordering develops in the fluid of oblate particles, the ordering is just partial in the fluid of prolate ones even at the close-packing density. The pressure ratio of freely rotating and parallel particles (P / P_parallel), which is an effective marker of structural changes, exhibits a single peak for oblate particles and no peak for prolate ones with increasing density. The close-packing behavior is characterized by exponents for the divergence of pressure (P ~ alpha P_parallel), the decay of orientational fluctuations (<(theta_p - theta)^2> ~ P^beta), and the behavior of the orientational correlation length (xi ~ P^gamma). The obtained values are beta = -1 and gamma = 0 for both oblate and prolate particles, while alpha = 2 for oblate and alpha = 1.5 for prolate particles. Moreover, prolate particles belong to the universality class of hard superellipses, where the combinations alpha + beta = 1/2 and beta + gamma = -1 hold exactly for any k > 1 (S. Mizani et al., Phys. Rev. E 111, 064121 (2025)). However, oblate particles do not belong to this universal class because alpha + beta = 1.

cond-mat.soft↗

arXiv2025

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

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.

cond-mat.soft↗

arXiv2025

Competition between shape anisotropy and deformation in the ordering and close packing properties of quasi-one-dimensional hard superellipse fluids

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

cond-mat.soft↗

arXiv2024

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

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.

cond-mat.soft↗