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The recently developed Perturbed-Chain Statistical Associating Fluid Theory (PC-SAFT) is investigated for a wide range of model parameters including the parameter m representing the chain length and the thermodynamic temperature T and…

Soft Condensed Matter · Physics 2009-11-11 L. Yelash , M. Mueller , W. Paul , K. Binder

Patchy particles have proven to be a prominent model for studying the self-assembly behavior of various systems, ranging from finite clusters to bulk crystal assemblies, and from synthetic colloidal particles to viruses. The patchy particle…

Soft Condensed Matter · Physics 2025-10-13 Gregory Snyder , Chrisy Xiyu Du

We critically discuss the application of the Wertheim's theory to classes of complex associating fluids that can be today engineered in the laboratory as patchy colloids and to the prediction of their peculiar gas-liquid phase diagrams. Our…

Soft Condensed Matter · Physics 2016-01-06 Riccardo Fantoni , Giorgio Pastore

The rapid progress in precisely designing the surface decoration of patchy colloidal particles offers a new, yet unexperienced freedom to create building entities for larger, more complex structures in soft matter systems. However, it is…

Soft Condensed Matter · Physics 2012-06-14 G. Doppelbauer , E. G. Noya , E. Bianchi , G. Kahl

In this work we develop the first theory to model self assembling mixtures of single patch colloids and colloids with spherically symmetric attractions. In the development of the theory we restrict the interactions such that there are short…

Soft Condensed Matter · Physics 2013-09-18 B. D. Marshall , W. G. Chapman

We report theoretical and numerical evaluations of the phase diagram for a model of patchy particles. Specifically we study hard-spheres whose surface is decorated by a small number f of identical sites ("sticky spots'') interacting via a…

Soft Condensed Matter · Physics 2009-11-13 Emanuela Bianchi , Piero Tartaglia , Emanuela Zaccarelli , Francesco Sciortino

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

We present a microscopic theory that describes the ordering of two distinct ligands on the surface of a faceted nanoparticle. The theory predicts that when one type of ligand is significantly bulkier than all others, the larger ligands…

Computational Physics · Physics 2015-06-03 Aaron Santos , Jaime Andres Millan , Sharon C. Glotzer

In this paper, we develop a thermodynamic perturbation theory to describe the self-assembly of patchy colloids which exhibit both patch-patch attractions as well as patch / non-patch attractions. That is, patches attract other patches as…

Soft Condensed Matter · Physics 2017-09-14 Bennett D. Marshall

Patchy colloids with highly directional interactions are ideal building blocks to control the local arrangements resulting from their spontaneous self-organization. Here we propose their use, combined with substrates and nonequilibrium…

Soft Condensed Matter · Physics 2013-03-21 C. S. Dias , N. A. M. Araújo , M. M. Telo da Gama

A new theory is developed to describe the equilibrium adsorption and self-assembly of patchy colloids in microchannels. The adsorption theory is developed in classical density functional theory, with the adsorbed phase and fluid phase…

Soft Condensed Matter · Physics 2016-08-24 Bennett D. Marshall

We numerically study a simple fluid composed of particles having a hard-core repulsion, complemented by two short-ranged attractive (sticky) spots at the particle poles, which provides a simple model for equilibrium polymerization of linear…

Soft Condensed Matter · Physics 2009-11-13 F. Sciortino , E. Bianchi , J. F. Douglas , P. Tartaglia

Learning and analyzing 3D point clouds with deep networks is challenging due to the sparseness and irregularity of the data. In this paper, we present a data-driven point cloud upsampling technique. The key idea is to learn multi-level…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Lequan Yu , Xianzhi Li , Chi-Wing Fu , Daniel Cohen-Or , Pheng-Ann Heng

We report on self-assemblies formed from spherical patchy particles interacting by a long-range attraction through a patch region in a two-dimensional system. We performed Monte Carlo simulations to find stable structures in a system with…

Soft Condensed Matter · Physics 2019-09-05 Masahide Sato

Point cloud upsampling is to densify a sparse point set acquired from 3D sensors, providing a denser representation for the underlying surface. Existing methods divide the input points into small patches and upsample each patch separately,…

Computer Vision and Pattern Recognition · Computer Science 2022-07-13 Chen Long , Wenxiao Zhang , Ruihui Li , Hao Wang , Zhen Dong , Bisheng Yang

Inverse patchy colloids are nano- to micro-scale particles with a surface divided into differently charged regions. This class of colloids combines directional, selective bonding with a relatively simple particle design: owing to the…

Soft Condensed Matter · Physics 2021-01-22 Emanuela Bianchi , Peter D. J. van Oostrum , Christos N. Likos , Gerhard Kahl

Nanoparticles with "sticky patches" have long been proposed as building blocks for the self-assembly of complex structures. The synthetic realizability of such patchy particles, however, greatly lags behind predictions of patterns they…

Soft Condensed Matter · Physics 2013-10-03 Michael Grünwald , Phillip L. Geissler

Spurred by recent development of fracton topological phases, unusual topological phases possessing fractionalized quasi-particles with mobility constraints, the concept of symmetries has been renewed. In particular, in accordance with the…

Strongly Correlated Electrons · Physics 2024-05-24 Hiromi Ebisu , Masazumi Honda , Taiichi Nakanishi

Symmetric edge polytopes are lattice polytopes associated with finite simple graphs that are of interest in both theory and applications. We investigate the facet structure of symmetric edge polytopes for various models of random graphs.…

Combinatorics · Mathematics 2024-02-14 Benjamin Braun , Kaitlin Bruegge , Matthew Kahle

New model equations are derived for dynamics of self-aggregation of finite-size particles. Differences from standard Debye-Huckel and Keller-Segel models are: a) the mobility $\mu$ of particles depends on the locally-averaged particle…

Pattern Formation and Solitons · Physics 2009-11-11 Darryl D. Holm , Vakhtang Putkaradze
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