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We introduce a coshuffle comultiplication on the singular chain complex of configuration spaces, and we show that this structure endows the configuration space with the structure of a differential graded coalgebra (DGCoAlg). We then prove…

Algebraic Topology · Mathematics 2025-12-02 Byung Hee An

A binary mixture of particles interacting with spherically-symmetric potentials leading to microsegregation is studied by theory and molecular dynamics (MD) simulations. We consider spherical particles with equal diameters and volume…

Soft Condensed Matter · Physics 2020-11-20 O. Patsahan , M. Litniewski , A. Ciach

The self-organization of clusters of particles is a fundamental phenomenon across various physical systems, including hydrodynamic and colloidal systems. One example is that of dense spherical particles submerged in a fluid and subjected to…

Soft Condensed Matter · Physics 2024-06-17 T. J. J. M. van Overveld , W. G. Ellenbroek , J. M. Meijer , H. J. H. Clercx , M. Duran-Matute

Locally (re)structuring colloidal gels $\unicode{x2013}$ micron-sized particles forming a connected network with arrested dynamics $\unicode{x2013}$ enables precise tuning of the micromechanical and -rheological properties of the system. A…

Soft Condensed Matter · Physics 2022-11-07 Kim William Torre , Joost de Graaf

We demonstrate a variety of ordered patterns, including hexagonal structures and chains, formed by colloidal particles (droplets) at the free surface of a nematic liquid crystal (LC). The surface placement introduces a new type of particle…

Soft Condensed Matter · Physics 2009-11-10 I. I. Smalyukh , S. Chernyshuk , B. I. Lev , A. B. Nych , U. Ognysta , V. G. Nazarenko , O. D. Lavrentovich

Colloidal systems find important applications ranging from fabrication of photonic crystals to direct probing of phenomena typically encountered in atomic crystals and glasses. New applications - such as nanoantennas, plasmonic sensors, and…

Soft Condensed Matter · Physics 2016-12-30 Rahul P. Trivedi , Ivan I. Klevets , Bohdan Senyuk , Taewoo Lee , Ivan I. Smalyukh

The geometric shape, symmetry, and topology of colloidal particles often allow for controlling colloidal phase behavior and physical properties of these soft matter systems. In liquid crystalline dispersions, colloidal particles with low…

Soft Condensed Matter · Physics 2024-10-14 Ye Yuan , Ivan I. Smalyukh

Colloidal gels are a prototypical example of a heterogeneous network solid whose complex properties are governed by thermally-activated dynamics. In this Letter we experimentally establish the connection between the intermittent dynamics of…

Soft Condensed Matter · Physics 2017-05-10 Jan Maarten van Doorn , Jochem Bronkhorst , Ruben Higler , Ties van de Laar , Joris Sprakel

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

Micrometre sized colloidal particles can be viewed as large atoms with tailorable size, shape and interactions. These building blocks can assemble into extremely rich structures and phases, in which the thermal motions of particles can be…

Soft Condensed Matter · Physics 2017-11-10 Bo Li , Di Zhou , Yilong Han

A $configuration$ of a linkage $\Gamma$ is a possible positioning of $\Gamma$ in $\mathbb{R}^d$ and the collection of all such forms the configuration space $\mathcal{C}(\Gamma)$ of $\Gamma$. We here introduce the notion of the $symmetric…

Algebraic Topology · Mathematics 2022-07-19 David Blanc , Nir Shvalb

Multilevel self-assembly involving small structured groups of nano-particles provides new routes to development of functional materials with a sophisticated architecture. Apart from the inter-particle forces, the geometrical shapes and…

Physics and Society · Physics 2017-11-15 Milovan Suvakov , Miroslav Andjelkovic , Bosiljka Tadic

Architected materials derive their properties from the geometric arrangement of their internal structural elements. Their designs rely on continuous networks of members to control the global mechanical behavior of the bulk. Here, we…

We study direct and inverse scattering problem for systems of interacting particles, having web-like structure. Such systems consist of a finite number of semi-infinite chains attached to the central part formed by a finite number of…

Spectral Theory · Mathematics 2016-12-19 Isaac Alvarez-Romero , Yurii Lyubarskii

Limited bonding valence, usually accompanied by well-defined directional interactions and selective bonding mechanisms, is nowadays considered among the key ingredients to create complex structures with tailored properties: even though…

Soft Condensed Matter · Physics 2017-10-11 Emanuela Bianchi , Barbara Capone , Ivan Coluzza , Lorenzo Rovigatti , Peter D. J. van Oostrum

We introduce a scheme to design patchy particles so that a given target crystal is the global free-energy minimum at sufficiently low temperature. A key feature is a torsional component to the potential that only allows binding when…

Soft Condensed Matter · Physics 2019-12-17 Daniel F. Tracey , Eva G. Noya , Jonathan P. K. Doye

A numerical method is presented for first-principle simulations of charged colloidal dispersions in electrolyte solutions. Utilizing a smoothed profile for colloid-solvent boundaries, efficient mesoscopic simulations are enabled for…

Soft Condensed Matter · Physics 2007-05-23 Kang Kim , Ryoichi Yamamoto

Motivated by recent experiments on colloidal systems with competing attractive and repulsive interactions, we simulate a two-dimensional system of colloids with competing interactions that can undergo fragmentation. In the absence of any…

Soft Condensed Matter · Physics 2008-11-26 C. J. Olson Reichhardt , C. Reichhardt , A. R. Bishop

We investigate the structural and thermodynamic properties of a model of particles with $2$ patches of type $A$ and $10$ patches of type $B$. Particles are placed on the sites of a face centered cubic lattice with the patches oriented along…

Soft Condensed Matter · Physics 2015-06-18 J. M. Tavares , N. G. Almarza , M. M. Telo da Gama

Through extensive molecular simulations we determine a phase diagram of attractive, flexible polymer chains in two and three dimensions. A surprisingly rich collection of distinct crystal morphologies appear, which can be finely tuned…