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This work is devoted to the exact statistical mechanics treatment of simple inhomogeneous few-body systems. The system of two Hard Spheres (HS) confined in a hard spherical pore is systematically analyzed in terms of its dimensionality >.…

Statistical Mechanics · Physics 2010-05-06 Ignacio Urrutia , Leszek Szybisz

Melting of two dimensional (2D) clusters of classical particles is studied using Brownian dynamics and Langevin molecular dynamics simulations. The particles are confined by a circular hard wall or a parabolic external potential and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 I. V. Schweigert , V. A. Schweigert , F. M. Peeters

We model two-dimensional crystals by a configuration space in which every admissible configuration is a hard disk configuration and a perturbed version of some triangular lattice with side length one. In this model we show that, under the…

Mathematical Physics · Physics 2014-05-14 Alexisz Tamás Gaál

The correlation between local structure and the propensity for structural rearrangements has been widely investigated in glass forming liquids and glasses. In this paper we use the excess two-body entropy $S_2$ and tetrahedrality $\n_{tet}$…

Statistical Mechanics · Physics 2022-03-14 Saheli Mitra , Susana Marin-Aguilar , Srikanth Sastry , Frank Smallenburg , Giuseppe Foffi

Recent theories predict that when a supercooled liquid approaches the glass transition, particle clusters with a special "amorphous order" nucleate within the liquid, which lead to static correlations dictating the dramatic slowdown of…

Soft Condensed Matter · Physics 2016-03-04 Bo Zhang , Xiang Cheng

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

Pair distributions of fluids confined between two surfaces at close distance are of fundamental importance for a variety of physical, chemical, and biological phenomena, such as interactions between macromolecules in solution, surface…

Soft Condensed Matter · Physics 2013-11-01 Kim Nygård , Sten Sarman , Roland Kjellander

The sudden arrest of motion due to confinement is commonly observed via the clogging transition in the flow of particles through a constriction. We present results of a simple experiment to elucidate a similar transition in the…

Soft Condensed Matter · Physics 2020-04-07 Emily A. Hobbs , Alexander Christensen , Brian C. Utter

We investigate the structural, thermodynamic and dynamic behavior of of a two dimensional core-corona system using Langevin Dynamics simulations. The particles are modeled using a core-softened potential that exhibits waterlike anomalies…

Soft Condensed Matter · Physics 2018-02-14 José Rafael Bordin , Marcia C. Barbosa

Using the Fundamental-Measure Density Functional Theory, we have studied theoretically the phase behavior of extremely confined mixtures of parallel hard squares in slit geometry. The pore width is chosen such that configurations consisting…

Soft Condensed Matter · Physics 2020-01-09 Yuri Martinez-Raton , Enrique Velasco

In the supercooled regime at elevated pressure two forms of liquid water, high-density (HDL) and low-density (LDL), have been proposed to be separated by a coexistence line ending at a critical point, but a connection to ambient conditions…

Soft Condensed Matter · Physics 2011-06-27 K. T. Wikfeldt , A. Nilsson , L. G. M. Pettersson

The channel size distribution in hard sphere systems, based on the local neighbor correlation of four particle positions, is investigated for all volume fractions up to jamming. For each particle, all three particle combinations of…

Disordered Systems and Neural Networks · Physics 2015-06-19 Vitaliy Ogarko , Nicolas Rivas , Stefan Luding

We simulate binary soft disk systems in two dimensions, and investigate how the dynamics slow as the area fraction is increased toward the glass transition. The "fragility" quantifies how sensitively the relaxation time scale depends on the…

Soft Condensed Matter · Physics 2010-10-12 Rei Kurita , Eric R. Weeks

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

Hyperuniform many-particle distributions possess a local number variance that grows more slowly than the volume of an observation window, implying that the local density is effectively homogeneous beyond a few characteristic length scales.…

Statistical Mechanics · Physics 2015-05-27 Chase E. Zachary , Yang Jiao , Salvatore Torquato

Using confocal-microscopy we investigate the structure of binary mixtures of colloidal hard spheres with size ratio q=0.61. As a function of the packing fraction of the two particle species, we observe a marked change of the dominant…

Soft Condensed Matter · Physics 2007-10-04 Jörg Baumgartl , Roel P. A. Dullens , Marjolein Dijkstra , Roland Roth , Clemens Bechinger

A line of hard spheres confined by a transverse harmonic potential, with hard walls at its ends, exhibits a variety of buckled structures as it is compressed longitudinally. Here we show that these may be conveniently observed in a rotating…

Soft Condensed Matter · Physics 2019-09-24 Jens Winkelmann , Adil Mughal , Denis Weaire , Stefan Hutzler

The search for local structures within a disordered medium has led to proposals of several methods for probing transient short-range symmetry in a homogeneous mono-atomic liquid. We offer a comparison of different characterizations of such…

Soft Condensed Matter · Physics 2020-05-04 Linsey Nowack , Stuart A. Rice

Liquid crystals can self-organize into a layered smectic phase. While the smectic layers are typically straight forming a lamellar pattern in bulk, external confinement may drastically distort the layers due to the boundary conditions…

A two-dimensional system of 10000 hard disks with square periodic boundary conditions, at a density in the middle of the 2-phase region predicted from equation-of-state data, when subjected to a weak external uniform force, is seen to phase…

Statistical Mechanics · Physics 2008-06-09 Leslie V Woodcock