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Experiments on vertically oscillated granular layers in an evacuated container reveal a sequence of well-defined pattern bifurcations as the container acceleration is increased. Period doublings of the layer center of mass motion and a…

patt-sol · Physics 2009-10-28 Francisco Melo , Paul Umbanhowar , Harry L. Swinney

The nonequilibrium dynamical behaviour that arises when two ordered two-dimensional monolayers of particles are sheared over each other is studied in Brownian dynamics simulations. A curious sequence of nonequilibrium states is observed as…

Soft Condensed Matter · Physics 2009-11-07 Moumita Das , Sriram Ramaswamy , G. Ananthakrishna

A simple phenomenological model of a binary granular mixture is developed and investigated numerically. We attempt to model the experimental system of [1,2] where a horizontally vibrated binary monolayer was found to exhibit a transition…

Statistical Mechanics · Physics 2009-11-10 George C. M. A. Ehrhardt , Andrew Stephenson , Pedro M. Reis

We experimentally study the crystallization of a monolayer of vibrated discs with a built-in polar asymmetry, a model system of active liquids, and contrast it with that of vibrated isotropic discs. Increasing the packing fraction $\phi$,…

Soft Condensed Matter · Physics 2016-09-05 G. Briand , O. Dauchot

A simple model of a vibrated granular monolayer is studied. It consists of inelastic hard spheres confined between two parallel hard plates separated a distance smaller than twice the diameter of the particles. Both walls are elastic and…

Statistical Mechanics · Physics 2019-12-20 P. Maynar , M. I. García de Soria , J. J. Brey

We characterize the order-disorder transition in a model lipid bilayer using molecular dynamics simulations. We find that the ordered phase is hexatic. In particular, in-plane structures possess a finite concentration of 5-7 disclination…

Ridged, orthorhombic two-dimensional atomic crystals with a bulk {\em Pnma} structure such as black phosphorus and monochalcogenide monolayers are an exciting and novel material platform for a host of applications. Key to their…

We describe experiments on monodisperse spherical particles in an annular cell geometry, vibrated from below and sheared from above. This system shows a freezing/melting transition such that under sufficient vibration a crystallized state…

Soft Condensed Matter · Physics 2007-05-23 Karen E. Daniels , Robert P. Behringer

Order-disorder transitions take place in many physical systems, but observing them in detail in real materials is difficult. In two- or quasi-two-dimensional systems, the transition has been studied by computer simulations and…

Superconductivity · Physics 2015-04-14 M. Zehetmayer

Mixed-order phase transitions display a discontinuity in the order parameter like first-order transitions yet feature critical behavior like second-order transitions. Such transitions have been predicted for a broad range of equilibrium and…

Statistical Mechanics · Physics 2017-12-07 Ricard Alert , Pietro Tierno , Jaume Casademunt

Melting in two spatial dimensions, as realized in thin films or at interfaces, represents one of the most fascinating phase transitions in nature, but it remains poorly understood. Even for the fundamental hard-disk model, the melting…

Soft Condensed Matter · Physics 2015-03-13 Etienne P. Bernard , Werner Krauth

We study the influence of quenched disorder on the two-dimensional melting behavior by using both video-microscopy of superparamagnetic colloidal particles and computer simulations of repulsive parallel dipoles. Quenched disorder is…

Soft Condensed Matter · Physics 2015-06-16 Sven Deutschländer , Tobias Kruppa , Hartmut Löwen , Georg Maret , Peter Keim

We perform extensive simulations of $10^4$ Lennard-Jones particles to study the effect of particle size dispersity on the thermodynamic stability of two-dimensional solids. We find a novel phase diagram in the dispersity-density parameter…

Materials Science · Physics 2009-10-30 M. Reza Sadr-Lahijany , Purusattam Ray , H. Eugene Stanley

We report the observation of the homogenous nucleation of crystals in a dense layer of steel spheres confined between two horizontal plates vibrated vertically. Above a critical vibration amplitude, two-layer crystals with square symmetry…

Soft Condensed Matter · Physics 2009-11-10 Alexis Prevost , Paul Melby , David A. Egolf , Jeffrey S. Urbach

We study melting in a two-dimensional system of classical particles with Gaussian-core interactions in disordered environments. The pure system validates the conventional two-step melting with a hexatic phase intervening between the solid…

Soft Condensed Matter · Physics 2023-08-01 Prashanti Jami , Pinaki Chaudhuri , Chandan Dasgupta , Amit Ghosal

The orientational order in vertically agitated granular rod monolayers is investigated experimentally and compared quantitatively with equilibrium Monte Carlo simulations and density functional theory. At sufficiently high number density,…

Soft Condensed Matter · Physics 2015-09-18 Thomas Müller , Daniel de las Heras , Ingo Rehberg , Kai Huang

The pressure and the viscosity in two-dimensional sheared granular assemblies are investigated numerically. The behavior of both pressure and viscosity is smoothly changing qualitatively when starting from a mono-disperse hard-disk system…

Statistical Mechanics · Physics 2010-07-20 Michio Otsuki , Hisao Hayakawa , Stefan Luding

Experiments and theory have shown that cell monolayers and epithelial tissues exhibit solid-liquid and glass-liquid transitions. These transitions are biologically relevant to our understanding of embryonic development, wound healing, and…

Soft Condensed Matter · Physics 2020-07-22 Benjamin Loewe , Michael Chiang , Davide Marenduzzo , M. Cristina Marchetti

There are strong evidences that the melting in two dimensions depends crucially on the form and range of the interaction potentials between particles. We study with Monte Carlo simulations the phase diagram and the melting of a monolayer of…

Statistical Mechanics · Physics 2013-01-09 Martial Mazars

Orientational and positional ordering properties of liquid crystal monolayers are examined by means of Fundamental-Measure Density Functional Theory. Particles forming the monolayer are modeled as hard parallelepipeds of square section of…

Soft Condensed Matter · Physics 2015-06-19 Yuri Martinez-Raton , Szabolcs Varga y Enrique Velasco