English
Related papers

Related papers: Three simple scenarios for high-dimensional sphere…

200 papers

We simulate a strongly size-disperse hard-sphere fluid confined between two parallel, hard walls. We find that confinement induces crystallization into n-layered hexagonal lattices and a novel honeycomb-shaped structure, facilitated by…

Soft Condensed Matter · Physics 2020-08-12 Gerhard Jung , Charlotte F. Petersen

Although much is known about the metastable liquid branch of hard spheres--from low dimension $d$ up to ${d\to\infty}$--its crystal counterpart remains largely unexplored for $d>3$. In particular, it is unclear whether the crystal phase is…

Statistical Mechanics · Physics 2022-05-03 Patrick Charbonneau , Caitlin M. Gish , Robert S. Hoy , Peter K. Morse

Classical hard spheres crystallize at equilibrium at high enough density. Crystals made up of stackings of 2-dimensional hexagonal close-packed layers (e.g. fcc, hcp, etc.) differ in entropy by only about $10^{-3}k_B$ per sphere (all…

Statistical Mechanics · Physics 2009-10-31 Siun-Chuon Mau , David A. Huse

The equation of state of a hard sphere fluid at high density should exhibit a simple pole at the random close packing limit. Here we show that trying to obtain a compact semi-empirical equation of state simultaneously compatible with that…

Soft Condensed Matter · Physics 2019-08-14 Richard Bonneville

In a recent paper (cond-mat/0506445) we derived an expression for the replicated free energy of a liquid of hard spheres based on the HNC free energy functional. An approximate equation of state for the glass and an estimate of the random…

Statistical Mechanics · Physics 2009-11-11 G. Parisi , F. Zamponi

Over the past two decades, a large number of studies addressed the topic of crystal nucleation in suspensions of hard spheres. The shared result of all these efforts is that, at low super-saturations, experimentally observed nucleation…

Soft Condensed Matter · Physics 2022-06-22 Wilkin Wöhler , Tanja Schilling

We performed dynamic simulations of spheres with short-range attractive interactions for many values of interaction strength and range. Fast crystallization occurs in a localized region of this parameter space, but the character of…

Soft Condensed Matter · Physics 2015-07-27 Thomas K. Haxton , Lester O. Hedges , Stephen Whitelam

The phase behavior of helical packings of thermoresponsive microspheres inside glass capillaries is studied as a function of volume fraction. Stable packings with long-range orientational order appear to evolve abruptly to disordered states…

Soft Condensed Matter · Physics 2010-04-14 Matthew A. Lohr , Ahmed M. Alsayed , Bryan G. Chen , Zexin Zhang , Randall D. Kamien , Arjun G. Yodh

Using molecular dynamics calculations and the Voronoi tessellation, we study the evolution of the local structure of a soft-sphere glass versus temperature starting from the liquid phase at different quenching rates. This study is done for…

Disordered Systems and Neural Networks · Physics 2009-10-31 Philippe Jund , Remi Jullien

By molecular-dynamics simulations, we have studied the devitrification (or crystallization) of aged hard-sphere glasses. First, we find that the dynamics of the particles are intermittent: Quiescent periods, when the particles simply…

Soft Condensed Matter · Physics 2014-04-03 Eduardo Sanz , Chantal Valeriani , Emanuela Zaccarelli , Wilson C K Poon , Michael E Cates , Peter N Pusey

The fluid - crystal equilibria of polydisperse mixtures of hard spheres have been studied by computer simulation of the solid phase and using an accurate equation of state for the fluid. A new scheme has been developed to evaluate the…

Statistical Mechanics · Physics 2007-05-23 N. G. Almarza , E. Enciso

We report a detailed experimental study of the structure and dynamics of glassy states in hard spheres with short-range attraction. The system is a suspension of nearly-hard-sphere colloidal particles and non-adsorbing linear polymer which…

Soft Condensed Matter · Physics 2009-11-10 K. N. Pham , S. U. Egelhaaf , P. N. Pusey , W. C. K. Poon

Extensive molecular dynamics simulations show that a short-range central potential, suited to model C60, undergoes a high temperature transition to a glassy phase characterized by the positional disorder of the constituent particles.…

Soft Condensed Matter · Physics 2007-05-23 Maria C. Abramo , Carlo Caccamo , Dino Costa , Romina Ruberto

Dating from experiments more than 20 years ago, it has been realized that the crystallization of hard colloidal particles in the vicinity of dynamical arrest has several anomalies, that render the conventional nucleation and growth model…

Disordered Systems and Neural Networks · Physics 2011-02-25 Davide Cellai , Andrzej Z. Fima , Aonghus Lawlor , Kenneth A. Dawson

We study the optimal packing of hard spheres in an infinitely long cylinder, using simulated annealing, and compare our results with the analogous problem of packing disks on the unrolled surface of a cylinder. The densest structures are…

Soft Condensed Matter · Physics 2015-06-04 A. Mughal , H. K. Chan , D. Weaire , S. Hutzler

We show that hard spheres confined between two parallel hard plates pack denser with periodic adaptive prismatic structures which are composed of alternating prisms of spheres. The internal structure of the prisms adapts to the slit height…

We study jammed configurations of hard spheres as a function of compression speed using an event-driven molecular dynamics algorithm. We find that during the compression, the pressure follows closely the metastable liquid branch until the…

Soft Condensed Matter · Physics 2016-05-19 Michiel Hermes , Marjolein Dijkstra

The packing of hard spheres (HS) of diameter $\sigma$ in a cylinder has been used to model experimental systems, such as fullerenes in nanotubes and colloidal wire assembly. Finding the densest packings of HS under this type of confinement,…

Soft Condensed Matter · Physics 2016-02-24 Lin Fu , William Steinhardt , Hao Zhao , Joshua E. S. Socolar , Patrick Charbonneau

Hard sphere systems in two dimensions are examined for arbitrary density. Simulation results are compared to the theoretical predictions for both the low and the high density limit, where the system is either disordered or ordered,…

Statistical Mechanics · Physics 2009-11-07 S. Luding

We study the phase behavior of hard spheres confined between two parallel hard plates using extensive computer simulations. We determine the full equilibrium phase diagram for arbitrary densities and plate separations from one to five…

Soft Condensed Matter · Physics 2009-11-11 Andrea Fortini , Marjolein Dijkstra