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Related papers: Static and dynamical properties of a hard-disk flu…

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Disks moving in a narrow channel have many features in common with the glassy behavior of hard spheres in three dimensions. In this paper we study the caging behavior of the disks which sets in at characteristic packing fraction $\phi_d$.…

Disordered Systems and Neural Networks · Physics 2016-03-09 J. F. Robinson , M. J. Godfrey , M. A. Moore

A system of inelastic hard disks in a thin pipe capped by hot walls is studied with the aim of investigating velocity correlations between particles. Two effects lead to such correlations: inelastic collisions help to build localized…

patt-sol · Physics 2009-10-31 Tong Zhou

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 an exact transfer-matrix approach to compute the equilibrium properties of a system of hard disks of diameter $\sigma$ confined to a two-dimensional channel of width $1.95\,\sigma$ at constant longitudinal applied force. At this…

Disordered Systems and Neural Networks · Physics 2015-02-19 M. J. Godfrey , M. A. Moore

From the theory of topological defect formation proposed for the early universe, the so called Kibble mechanism, it follows that the density correlation functions of defects and anti-defects in a given system should be completely determined…

High Energy Physics - Phenomenology · Physics 2009-11-07 Rajarshi Ray , Ajit M. Srivastava

The structural properties of confined single-file hard-disk fluids are studied analytically by means of a mapping of the original system onto a one-dimensional mixture of non-additive hard rods, the mapping being exact in the polydisperse…

Soft Condensed Matter · Physics 2023-07-25 Ana M. Montero , Andrés Santos

We show that a system of hard discs confined to a narrow channel exhibits a fragile-strong fluid crossover located at the maximum of the isobaric heat capacity and that the relaxation times for different channel widths fall onto a single…

Soft Condensed Matter · Physics 2012-10-23 Mahdi Zaeifi Yamchi , S. S. Ashwin , Richard K. Bowles

We employ inhomogeneous integral equation theory to investigate the equilibrium properties of hard disks confined to a channel of width $L$ by hard parallel walls. If the channel width is narrowed below two disk diameters, then the system…

Soft Condensed Matter · Physics 2026-03-10 J. M. Brader , E. Di Bernardo , S. M. Tschopp

Hydrodynamic interactions between particles confined in a liquid-filled linear channel are known to be screened beyond a distance comparable to the channel width. Using a simple analytical theory and lattice-Boltzmann simulations, we show…

Soft Condensed Matter · Physics 2010-07-06 Derek Frydel , Haim Diamant

Dense non-Brownian suspension flows of hard particles display mystifying properties: as the jamming threshold is approached, the viscosity diverges, as well as a length scale that can be identified from velocity correlations. To unravel the…

Statistical Mechanics · Physics 2015-06-16 Gustavo Düring , Edan Lerner , Matthieu Wyart

We examine the structural and dynamic properties of confined binary hard-sphere mixtures designed to mimic realizable colloidal thin films. Using computer simulations, governed by either Newtonian or overdamped Langevin dynamics, together…

Soft Condensed Matter · Physics 2015-05-01 Jonathan A. Bollinger , Avni Jain , James Carmer , Thomas M. Truskett

The thermodynamic and dynamical behavior of a gas of hard disks in a narrow channel is studied theoretically and numerically. Using a virial expansion we find that the pressure and collision frequency curves exhibit a singularity at a…

Statistical Mechanics · Physics 2009-11-10 Ch. Forster , D. Mukamel , H. A. Posch

We simulate a model of self-propelled disks with soft repulsive interactions confined to a box in two dimensions. For small rotational diffusion rates, monodisperse disks spontaneously accumulate at the walls. At low densities, interaction…

Soft Condensed Matter · Physics 2014-03-05 Xingbo Yang , M. Lisa Manning , M. Cristina Marchetti

We study various temporal correlation functions of a tagged particle in one-dimensional systems of interacting point particles evolving with Hamiltonian dynamics. Initial conditions of the particles are chosen from the canonical thermal…

Statistical Mechanics · Physics 2015-06-25 Anjan Roy , Abhishek Dhar , Onuttom Narayan , Sanjib Sabhapandit

This study examines the transverse and longitudinal properties of hard disks confined in narrow channels. Employing an exact mapping of the system onto a one-dimensional polydisperse, nonadditive mixture of hard rods with equal chemical…

Soft Condensed Matter · Physics 2024-08-13 Ana M. Montero , Andrés Santos

We investigate dynamical heterogeneities in the collective relaxation of a concentrated microgel system, for which the packing fraction can be conveniently varied by changing the temperature. The packing fraction dependent mechanical…

Soft Condensed Matter · Physics 2011-05-31 David A. Sessoms , Irmgard Bischofberger , Luca Cipelletti , Véronique Trappe

Although density functional theory provides reliable predictions for the static properties of simple fluids under confinement, a theory of comparative accuracy for the transport coefficients has yet to emerge. Nonetheless, there is evidence…

Hard spheres confined to narrow quasi-one-dimensional cylindrical channels form perfect helical structures at close packing. Here, we use molecular dynamics simulation to show that the thermodynamics, structure and dynamics of the fluid…

Soft Condensed Matter · Physics 2024-12-17 Mahdi Zarif , Richard K. Bowles

We study a system of particles in the interval $[0,\epsilon^{-1}] \cap \mathbb Z$, $\epsilon^{-1}$ a positive integer. The particles move as symmetric independent random walks (with reflections at the endpoints); simultaneously new…

Probability · Mathematics 2013-12-04 Gioia Carinci , Anna De Masi , Cristian Giardinà , Errico Presutti

The hard-disk model plays a role of touchstone for testing and developing the transport theory. By large scale molecular dynamics simulations of this model, three important autocorrelation functions, and as a result the corresponding…

Statistical Mechanics · Physics 2016-05-24 Hanqing Zhao , Hong Zhao
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