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Related papers: Freezing and clustering transitions for penetrable…

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We study a lattice-gas model of penetrable particles on a square-lattice substrate with same-site and nearest-neighbor interactions. Penetrability implies that the number of particles occupying a single lattice site is unlimited and the…

Soft Condensed Matter · Physics 2020-08-21 Derek Frydel , Yan Levin

We consider homogeneous crystallisation rates in confocal microscopy experiments on colloidal nearly hard spheres at the single particle level. These we compare with Brownian dynamics simuations by carefully modelling the softness in the…

Soft Condensed Matter · Physics 2017-12-27 Jade Taffs , Stephen R. Williams , Hajime Tanaka , C. Patrick Royall

The pressure-temperature phase diagram of a one-component system, with particles interacting through a spherically symmetric pair potential in two dimensions is studied. The interaction consists of a hard core plus an additional repulsion…

Statistical Mechanics · Physics 2009-10-31 E. A. Jagla

Extending mode-coupling theory, we elaborate a microscopic theory for the glass transition of liquids confined between two parallel flat hard walls. The theory contains the standard MCT equations in bulk and in two dimensions as limiting…

Soft Condensed Matter · Physics 2010-09-15 Simon Lang , Vitalie Botan , Martin Oettel , David Hajnal , Thomas Franosch , Rolf Schilling

The role of saturation for cluster formation in finite systems such as atomic nuclei is analyzed by considering three length-scale ratios, and performing deformation-constrained self-consistent mean-field calculations. The effect of…

Nuclear Theory · Physics 2015-06-18 Jean-Paul Ebran , Elias Khan , Tamara Niksic , Dario Vretenar

Employing Monte-Carlo simulation techniques we investigate the statistical properties of equally charged particles confined in a one-dimensional box trap and detect a crossover from a crystalline to a cluster phase with increasing…

Statistical Mechanics · Physics 2013-04-23 A. V. Zampetaki , F. K. Diakonos , P. Schmelcher

We report on a large scale computer simulation study of crystal nucleation in hard spheres. Through a combined analysis of real and reciprocal space data, a picture of a two-step crystallization process is supported: First dense, amorphous…

Soft Condensed Matter · Physics 2015-05-18 T. Schilling , H. J. Schope , M. Oettel , G. Opletal , I. Snook

We investigate the behaviour of a system of particles with the different character of interaction. The approach makes it possible to describe systems of interacting particles by statistical methods taking into account a spatial…

Condensed Matter · Physics 2007-05-23 Volodymyr Krasnoholovets , Bohdan Lev

The effect of polydispersity on the freezing transition of hard spheres is examined within a moment description. At low polydispersities a single fluid-to-crystal transition is recovered. With increasing polydispersity we find a density…

Soft Condensed Matter · Physics 2007-05-23 Paul Bartlett , Patrick B. Warren

We discuss a simple model of particles hopping in one dimension with attractive interactions. Taking a hydrodynamic limit in which the interaction strength increases with the system size, we observe the formation of multiple clusters of…

Statistical Mechanics · Physics 2017-05-05 Matthew Burman , Daniel Carpenter , Robert L. Jack

The penetrable-sphere model has been introduced in the literature to describe the peculiar thermodynamic behavior of some colloidal systems. In this model the interaction potential is $\phi(r)=\epsilon>0$ if the two spheres are overlapped…

Statistical Mechanics · Physics 2014-11-10 Andres Santos

The conventional theory of homogeneous and heterogeneous nucleation in a supersaturated vapor is tested by Monte Carlo simulations of the lattice gas (Ising) model with nearest-neighbor attractive interactions on the simple cubic lattice.…

Soft Condensed Matter · Physics 2013-05-07 Fabian Schmitz , Peter Virnau , Kurt Binder

Confinement can have a dramatic effect on the behavior of all sorts of particulate systems and it therefore is an important phenomenon in many different areas of physics and technology. Here, we investigate the role played by the softness…

Cluster concepts have been extremely useful in elucidating many problems in physics. Percolation theory provides a generic framework to study the behavior of the cluster distribution. In most cases the theory predicts a geometrical…

Statistical Mechanics · Physics 2016-09-15 Antonio Coniglio , Annalisa Fierro

We consider an interacting particle system in continuous configuration space. The pair interaction has an attractive part. We show that, at low density, the system behaves approximately like an ideal mixture of clusters (droplets): we prove…

Mathematical Physics · Physics 2012-06-25 S. Jansen , W. König

We consider a fluid of hard spheres bearing one or two uniform circular adhesive patches, distributed so as not to overlap. Two spheres interact via a ``sticky'' Baxter potential if the line joining the centers of the two spheres intersects…

Statistical Mechanics · Physics 2009-11-13 Riccardo Fantoni , Domenico Gazzillo , Achille Giacometti , Mark A. Miller , Giorgio Pastore

We present computer simulations of a system of purely repulsive soft colloidal particles interacting via the Hertz potential and constrained to a two-dimensional plane. This potential describes the elastic interaction of weakly deformable…

Soft Condensed Matter · Physics 2018-09-26 Yu. D. Fomin , E. A. Gaiduk , E. N. Tsiok , V. N. Ryzhov

On the basis of microscopic statistical mechanics of simple liquids the orientational interaction between clusters consisting of a particle and its nearest neighbors is estimated. It is shown that there are ranges of density and temperature…

Disordered Systems and Neural Networks · Physics 2009-11-10 N. M. Chtchelkatchev , V. N. Ryzhov , T. I. Schelkacheva , E. E. Tareyeva

In experimental systems, colloidal particles are virtually always at least somewhat polydisperse, which can have profound effects on their ability to crystallize. Unfortunately, accurately predicting the effects of polydispersity on phase…

Soft Condensed Matter · Physics 2025-10-09 Antoine Castagnède , Laura Filion , Frank Smallenburg

In seasonally ice-covered seas and along the margins of perennial ice pack, i.e. in regions with medium ice concentrations, the ice cover typically consists of separate floes interacting with each other by inelastic collisions. In this…

Other Condensed Matter · Physics 2011-11-15 Agnieszka Herman