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We explore the behavior of two-dimensional patchy colloidal particles with 8 or 10 symmetrically arranged patches by employing Monte-Carlo simulations. The particles interact according to an isotropic pair potential that possesses only one…

Soft Condensed Matter · Physics 2019-06-04 Anja Gemeinhardt , Miriam Martinsons , Michael Schmiedeberg

We present a combined experimental and theoretical study on the role of copolymer architecture in the self-assembly of binary PEO-PCL mixtures in water-THF, and show that altering the chain geometry and composition of the copolymers can…

Soft Condensed Matter · Physics 2011-07-06 M. J. Greenall , P. Schuetz , S. Furzeland , D. Atkins , D. M. A. Buzza , M. F. Butler , T. C. B. McLeish

This paper studies the straight skeleton of polyhedra in three dimensions. We first address voxel-based polyhedra (polycubes), formed as the union of a collection of cubical (axis-aligned) voxels. We analyze the ways in which the skeleton…

Computational Geometry · Computer Science 2008-05-02 Gill Barequet , David Eppstein , Michael T. Goodrich , Amir Vaxman

Hypothesis: Colloidal molecules with anisotropic shapes and interactions are powerful model systems for deciphering the behavior of real molecules and building units for creating materials with designed properties. While many strategies for…

Soft Condensed Matter · Physics 2022-07-19 Yogesh Shelke , Susana Marín-Aguilar , Fabrizio Camerin , Marjolein Dijkstra , Daniela J. Kraft

We propose a two-level structural optimization method for obtaining an approximate optimal shape of piecewise developable surface without specifying internal boundaries between surface patches. The condition for developability of a…

Optimization and Control · Mathematics 2024-11-22 Makoto Ohsaki , Kentaro Hayakawa , Jingyao Zhang

The fabrication of versatile building blocks that are reliably self-assemble into desired ordered and disordered phases is amongst the hottest topics in contemporary material science. To this end, microscopic units of varying complexity,…

Soft Condensed Matter · Physics 2016-03-23 Lorenzo Rovigatti , Barbara Capone , Christos N. Likos

Despite tremendous progress in the research on self-assembled nanotechnological building blocks such as macromolecules, nanowires, and two-dimensional materials, synthetic self-assembly methods bridging nanoscopic to macroscopic dimensions…

We present a model for the joint self-assembly of amphiphilic polymers and small amphiphilic molecules (surfactants) in a dilute aqueous solution. The polymer is assumed to consist of a hydrophilic backbone and a large number of hydrophobic…

Soft Condensed Matter · Physics 2007-05-23 H. Diamant , D. Andelman

Living cells dynamically modulate the local morphologies of their actin cytoskeletons to perform biological functions, including force transduction, intracellular transport, and cell division. A major challenge is to understand how diverse…

Biological Physics · Physics 2018-12-07 Simon L. Freedman , Glen M. Hocky , Shiladitya Banerjee , Aaron R. Dinner

One of the frontiers of nanotechnology is advancing beyond the periodic self-assembly of materials. Icosahedral quasicrystals, aperiodic in all directions, represent one of the most challenging targets that have yet to be experimentally…

Soft Condensed Matter · Physics 2024-07-30 Diogo E. P. Pinto , Petr Šulc , Francesco Sciortino , John Russo

The mass reduction of satellite solar arrays results in significant panel flexibility, so possibly striking one another dynamically leading ultimately to structural damage. To prevent this, rubber snubbers are mounted at well chosen points…

Numerical Analysis · Mathematics 2010-01-11 Hamad Hazim , B. Rousselet , Neil Ferguson

While shape optimization using isogeometric shells exhibits appealing features by integrating design geometries and analysis models, challenges arise when addressing computer-aided design (CAD) geometries comprised of multiple non-uniform…

Optimization and Control · Mathematics 2024-07-02 Han Zhao , John T. Hwang , J. S. Chen

In the abstract Tile Assembly Model, self-assembling systems consisting of tiles of different colors can form structures on which colored patterns are ``painted.'' We explore the complexity, in terms of the numbers of unique tile types…

Emerging Technologies · Computer Science 2024-03-12 Phillip Drake , Matthew J. Patitz , Scott M. Summers , Tyler Tracy

Inspired by the quest for shape-shifting structures in a range of applications, we show how to create morphable structural materials using a neutrally stable unit cell as a building block. This unit cell is a self-stressed hinged structure…

Soft Condensed Matter · Physics 2021-10-18 Gaurav Chaudhary , S Ganga Prasath , Edward Soucy , L Mahadevan

Elastic sheets with macroscopic dimensions are easy to deform by bending and stretching. Yet shaping nanometric sheets by mechanical manipulation is hard. Here we show that nanoparticle self-assembly could be used to this end. We…

Soft Condensed Matter · Physics 2015-05-20 Josep C. Pàmies , Angelo Cacciuto

The assembly of filamentous bundles with controlled diameters is common in biological systems and desirable for the development of nanomaterials. We discuss dynamical simulations and free energy calculations on patchy spheres with chiral…

Soft Condensed Matter · Physics 2015-05-18 Yasheng Yang , Robert B. Meyer , Michael F. Hagan

Molecular self-assembly is a well-known technique to create highly functional nanostructures on surfaces. Self-assembly on two-dimensional materials is a developing field and has already resulted in the discovery of several rich and…

Mesoscale and Nanoscale Physics · Physics 2017-09-04 Avijit Kumar , Kaustuv Banerjee , Peter Liljeroth

Learning to autonomously assemble shapes is a crucial skill for many robotic applications. While the majority of existing part assembly methods focus on correctly posing semantic parts to recreate a whole object, we interpret assembly more…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Yun-Chun Chen , Haoda Li , Dylan Turpin , Alec Jacobson , Animesh Garg

Satisfiability of boolean formulae (SAT) has been a topic of research in logic and computer science for a long time. In this paper we are interested in understanding the structure of satisfiable and unsatisfiable sentences. In previous work…

Combinatorics · Mathematics 2021-05-25 Vaibhav Karve , Anil N. Hirani

We report the synthesis of complex salts made from the cationic surfactant dodecyltrimethyl-ammonium and diblock copolymers poly(acrylic acid)-block-poly(acrylamide) of different molecular weights. In water, the complex salts self-assemble…

Materials Science · Physics 2013-10-29 Leticia Vitorazi , Jean-Francois Berret , Watson Loh
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