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We re-examine the ordering behavior of a one-dimensional fluid of freely rotating hard needles, where the centers of mass of the particles are restricted to a line. Analytical equations are obtained for the equation of state, order…

Statistical Mechanics · Physics 2013-05-29 Péter Gurin , Szabolcs Varga

The phase behavior and structural properties of hard anisotropic particles (prisms and dumbbells) are examined in one-dimensional channels using the Parsons--Lee (PL) theory, and the transfer-matrix and neighbor-distribution methods. The…

Soft Condensed Matter · Physics 2023-10-24 Ana M. Montero , Andrés Santos , Péter Gurin , Szabolcs Varga

Snapshots of colloidal particles moving on disordered two-dimensional substrates can be used to extract equal-time many-body correlations in their positions. To understand the systematics of these correlations, we perform Monte Carlo…

Soft Condensed Matter · Physics 2019-10-23 N. Shankaraiah , Surajit Sengupta , Gautam I. Menon

Positional ordering of a two-dimensional fluid of hard disks is examined in such narrow tubes where only the nearest-neighbor interactions take place. Using the exact transfer-matrix method the transverse and longitudinal pressure…

Statistical Mechanics · Physics 2015-05-30 S. Varga , G. Balló , P. Gurin

We use a series of molecular dynamics simulations, and analytical theory, to demonstrate that a system of hard spheres confined to a narrow cylindrical channel exhibits a continuous phase transition from an isotropic fluid at low densities,…

Soft Condensed Matter · Physics 2014-09-18 Mahdi Zaeifi Yamchi , Richard K. Bowles

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…

Soft Condensed Matter · Physics 2025-10-13 Sakineh Mizani , Martin Oettel , Péter Gurin , Szabolcs Varga

Exploring structural order in disordered systems including liquids and glasses is an intriguing but challenging issue in condensed matter physics. Here we construct a new parameter based on the angular distribution function of particles and…

Soft Condensed Matter · Physics 2018-06-11 Xiunan Yang , Wei-Hua Wang , Ke Chen

The analytical canonical NLT partition function of a quasi-one dimensional (q1D) system of hard disks [J. Chem Phys. v.153, 144111 (2020)] provides a direct analytical description of the thermodynamics and ordering in this system (a pore)…

Disordered Systems and Neural Networks · Physics 2022-06-14 V. M. Pergamenshchik , T. M. Bryk , A. D. Trokhymchuk

We present extensive molecular dynamics simulations of a liquid of symmetric dumbbells, for constant packing fraction, as a function of temperature and molecular elongation. For large elongations, translational and rotational degrees of…

Soft Condensed Matter · Physics 2009-11-11 Angel J. Moreno , Song-Ho Chong , Walter Kob , Francesco Sciortino

The orientational dynamics of inertialess anisotropic particles transported by two-dimensional convective turbulent flows display a coexistence of regular and chaotic features. We numerically demonstrate that very elongated particles (rods)…

Soft Condensed Matter · Physics 2020-03-10 Enrico Calzavarini , Linfeng Jiang , Chao Sun

We study the dynamics of a one-dimensional fluid of orientable hard rectangles with a non-coarse-grained microscopic mechanism of facilitation. The length occupied by a rectangle depends on its orientation, which is coupled to an external…

Disordered Systems and Neural Networks · Physics 2011-12-09 Jeferson J. Arenzon , Deepak Dhar , Ronald Dickman

Motivated by the structure of networks of cross-linked cytoskeletal biopolymers, we study the orientationally ordered phases in two-dimensional networks of randomly cross-linked semiflexible polymers. We consider permanent cross-links which…

Soft Condensed Matter · Physics 2011-03-08 Martin Kiemes , Panayotis Benetatos , Annette Zippelius

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…

Soft Condensed Matter · Physics 2025-01-29 Sakineh Mizani , Martin Oettel , Péter Gurin , Szabolcs Varga

The interaction-site-density-fluctuation correlators, the dipole-relaxation functions, and the mean-squared displacements of a system of symmetric dumbbells of fused hard spheres are calculated for two representative elongations of the…

Soft Condensed Matter · Physics 2009-11-07 S. -H. Chong , W. Gotze

We investigate the orientational properties of a homogeneous and inhomogeneous tetrahedral 4-patch fluid (Kern--Frenkel model). Using integral equations, either (i) HNC or (ii) a modified HNC scheme with simulation input, the full…

Soft Condensed Matter · Physics 2025-01-07 Alessandro Simon , Luc Belloni , Daniel Borgis , Martin Oettel

Despite their considerable practical and biological applications, the link between molecular properties, assembly conditions and self-organized structure in confined polymer solutions remains elusive. Here, we explore the lyotropic nematic…

Soft Condensed Matter · Physics 2023-03-21 Maxime M. C. Tortora , Daniel Jost

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…

Soft Condensed Matter · Physics 2026-03-03 Sakineh Mizani , Péter Gurin , Szabolcs Varga

We show that a point process of hard spheres exhibits long-range orientational order. This process is designed to be a random perturbation of a three-dimensional lattice that satisfies a specific rigidity property, examples include the FCC…

Probability · Mathematics 2019-11-07 Alexisz Tamás Gaál

We numerically study two-dimensional athermal chiral active particles at high densities. The particles in this system perform the circular motion with frequency $\Omega$. We show that the system crystallizes at high densities even in two…

Soft Condensed Matter · Physics 2025-03-04 Yuta Kuroda , Takeshi Kawasaki , Kunimasa Miyazaki

The relationship between the polymer orientation and the chaotic flow, in a dilute solution of rigid rodlike polymers at low Reynolds number, is investigated by means of direct numerical simulations. It is found that the rods tend to align…

Fluid Dynamics · Physics 2024-09-12 Leonardo Puggioni , Stefano Musacchio
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