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For the study of crystal formation and dynamics we introduce a simple two-dimensional monatomic model system with a parametrized interaction potential. We find in molecular dynamics simulations that a surprising variety of crystals, a…

Other Condensed Matter · Physics 2007-07-03 Michael Engel , Hans-Rainer Trebin

Nanoparticle self-assembly is an efficient bottom-up strategy for the creation of nanostructures. In the standard approach, ligands are grafted on the surfaces of nanoparticles to keep them separated and control interparticle interactions.…

Shape-controlled synthesis of multiply twinned nanostructures is heavily emphasized in nanoscience, in large part due to the desire to control the size, shape, and terminating facets of metal nanoparticles for applications in catalysis.…

We study more than $10^4$ random aggregates of $10^6$ monodisperse sticky hard spheres each, generated by various static algorithms. Their packing fraction varies from 0.370 up to 0.593. These aggregates are shown to be based on two types…

Disordered Systems and Neural Networks · Physics 2019-09-30 M. Blétry , V. Russier , E. Barbé , J. Blétry

Optically trapped mixed-species single atom arrays with arbitrary geometries are an attractive and promising platform for various applications, because tunable quantum systems with multiple components provide extra degrees of freedom for…

In this paper, the binary random packing fraction of similar particles with size ratios ranging from unity to well over 2 is studied. The classic excluded volume model for spherocylinders and cylinders proposed by Onsager [1] is revisited…

Other Condensed Matter · Physics 2024-06-28 H. J. H. Brouwers

We study the optimal packing of short, hard spherocylinders confined to lie tangential to a spherical surface, using simulated annealing and molecular dynamics simulations. For clusters of up to twelve particles, we map out the changes in…

Soft Condensed Matter · Physics 2016-05-25 Frank Smallenburg , Hartmut Löwen

During directional solidification of the solvent in a colloidal suspension, the colloidal particles segregate from the growing solid, forming high-particle-density regions with structure on a hierarchy of length scales ranging from that of…

Soft Condensed Matter · Physics 2011-03-09 Melissa Spannuth , S. G. J. Mochrie , S. S. L. Peppin , J. S. Wettlaufer

Dense packings have served as useful models of the structure of liquid, glassy and crystal states of matter, granular media, heterogeneous materials, and biological systems. Probing the symmetries and other mathematical properties of the…

Statistical Mechanics · Physics 2015-05-14 S. Torquato , Y. Jiao

Suppose one has a collection of disks of various sizes with disjoint interiors, a packing in the plane, and suppose the ratio of the smallest radius divided by the largest radius lies between $1$ and $q$. In his 1964 book Regular Figures…

Metric Geometry · Mathematics 2023-03-21 Robert Connelly , Maurice Pierre

The impact of confinement on self-assembly of particles interacting with short-range attraction and long-range repulsion (SALR) potential is studied for thermodynamic states corresponding to local ordering of clusters or layers in the bulk.…

Soft Condensed Matter · Physics 2014-11-17 Jakub Pękalski , Alina Ciach , Noé G. Almarza

Motivated by observations of heterogeneous domain structure on the surface of cells, we consider a minimal model to describe the dynamics of phase separation on the surface of a spherical particle. Finite-size effects on the curved particle…

Soft Condensed Matter · Physics 2016-07-13 Matthias C. Bott , Joseph M. Brader

Differential shrinkage in particulate quasi-brittle materials causes microcracking which reduces durability in these materials by increasing their mass transport properties. A hydro-mechanical three-dimensional periodic network approach was…

Materials Science · Physics 2017-10-13 Ignatios Athanasiadis , Simon J. Wheeler , Peter Grassl

We present algorithmic results for the parallel assembly of many micro-scale objects in two and three dimensions from tiny particles, which has been proposed in the context of programmable matter and self-assembly for building high-yield…

Data Structures and Algorithms · Computer Science 2017-09-20 Aaron T. Becker , Sándor P. Fekete , Phillip Keldenich , Dominik Krupke , Christian Rieck , Christian Scheffer , Arne Schmidt

The density limit is investigated in the DIII-D negative triangularity (NT) plasmas which lack a standard H-mode edge. We find the limit may not be a singular disruptive boundary but a multifaceted density saturation phenomenon governed by…

We analytically investigate a 1d branching-coalescing model with reflecting boundaries in a canonical ensemble where the total number of particles on the chain is conserved. Exact analytical calculations show that the model has two…

Statistical Mechanics · Physics 2009-11-10 F. H. Jafarpour , S. R. Masharian

We study analytically the development of gravitational instability in an expanding shell having finite thickness. We consider three models for the radial density profile of the shell: (i) an analytic uniform-density model, (ii) a…

Astrophysics of Galaxies · Physics 2015-05-19 Richard Wunsch , James E. Dale , Jan Palous , Anthony P. Whitworth

Co-assembly of inorganic nanoparticles (NPs) and nanostructured polymer matrix represents an intricate interplay of enthalpic or entropic forces. Particle size largely affects the phase behavior of the nanocomposite. Theoretical studies…

Soft Condensed Matter · Physics 2022-04-25 Le Ma , Hejin Huang , Peter Ercius , Alfredo Alexander-Katz , Ting Xu

We study the self-assembly behaviour of patchy particles with `protein-like' interactions that can be considered as a minimal model for the assembly of viral capsids and other shell-like protein complexes. We thoroughly explore the…

Soft Condensed Matter · Physics 2010-01-21 Alex W. Wilber , Jonathan P. K. Doye , Ard A. Louis , Anna C. F. Lewis

Membrane budding and wrapping of particles, such as viruses and nano-particles, play a key role in intracellular transport and have been studied for a variety of biological and soft matter systems. We study nano-particle wrapping by…

Soft Condensed Matter · Physics 2013-07-25 Sabyasachi Dasgupta , Thorsten Auth , Gerhard Gompper
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