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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 apply a simple model system of patchy particles to study monodisperse self-assembly, using the Platonic solids as target structures. We find marked differences between the assembly behaviours of the different systems. Tetrahedra,…

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

We use computer simulations to study a model, first proposed by Wales [1], for the reversible and monodisperse self-assembly of simple icosahedral virus capsid structures. The success and efficiency of assembly as a function of…

Biomolecules · Quantitative Biology 2010-02-24 Iain G. Johnston , Ard A. Louis , Jonathan P. K. Doye

Colloidal particles can self-assemble into various ordered structures in fluid flows that have potential applications in biomedicine, materials synthesis and encryption. These dynamic processes are also of fundamental interest for probing…

Soft Condensed Matter · Physics 2017-01-31 Yu Abe , Bo Zhang , Leonardo Gordillo , Alireza Mohammad Karim , Lorraine F. Francis , Xiang Cheng

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 central dogma of molecular biology is the principal framework for understanding how nucleic acid information is propagated and used by living systems to create complex biomolecules. Here, by integrating the structural and dynamic…

Biological Physics · Physics 2018-10-04 Jihoon Shin , Junghoon Kim , Sung Ha Park , Tai Hwan Ha

Sophisticated statistical mechanics approaches and human intuition have demonstrated the possibility to self-assemble complex lattices or finite size constructs, but have mostly only been successful in silico. The proposed strategies quite…

We use numerical simulations to show how noninteracting hard particles binding to a deformable elastic shell may self-assemble into a variety of linear patterns. This is a result of the nontrivial elastic response to deformations of shells.…

Soft Condensed Matter · Physics 2011-02-25 Andela Šarić , Angelo Cacciuto

We present a technique for calculating free-energy profiles for the nucleation of multicomponent structures that contain as many species as building blocks. We find that a key factor is the topology of the graph describing the connectivity…

Soft Condensed Matter · Physics 2015-01-12 William M. Jacobs , Aleks Reinhardt , Daan Frenkel

This project mathematically models the self-assembly of DNA nanostructures in the shape of select Archimedean graphs using the flexible tile model. Under three different sets of restrictions called scenarios, we employ principles of linear…

Biomolecules · Quantitative Biology 2025-04-04 Tabitha Merrithew , Jessica Sorrells

Molecular simulations of the self-assembly of cone-shaped particles with specific, attractive interactions are performed. Upon cooling from random initial conditions, we find that the cones self assemble into clusters and that clusters…

Materials Science · Physics 2009-11-11 Ting Chen , Zhenli Zhang , Sharon C. Glotzer

Self-assembly of complex and functional materials remains a grand challenge in soft material science. Efficient assembly depends on a delicate balance between thermodynamic and kinetic effects, requiring fine-tuning affinities and…

Soft Condensed Matter · Physics 2024-11-14 Wei-Shao Wei , Anthony Trubiano , Christian Sigl , Stefan Paquay , Hendrik Dietz , Michael F. Hagan , Seth Fraden

The self-assembly of DNA-coated colloids into highly-ordered structures offers great promise for advanced optical materials. However, control of disorder, defects, melting, and crystal growth is hindered by the lack of a microscopic…

Soft Condensed Matter · Physics 2022-05-18 Fan Cui , Sophie Marbach , Jeana Aojie Zheng , Miranda Holmes-Cerfon , David J. Pine

We simulate structural phase behavior of polymer-grafted colloidal particles by molecular Monte Carlo technique. Interparticle potential, which has a finite repulsive square-step outside a rigid core of the colloid, was previously confirmed…

Soft Condensed Matter · Physics 2015-03-19 Yuki Norizoe , Toshihiro Kawakatsu

We introduce a new DNA tile self-assembly model: the Surface Flexible Tile Assembly Model (SFTAM), where 2D tiles are placed on host 3D surfaces made of axis-parallel unit cubes glued together by their faces, called polycubes. The bonds are…

Discrete Mathematics · Computer Science 2023-06-19 Florent Becker , Shahrzad Heydarshahi

DNA is now firmly established as a versatile and robust platform for achieving synthetic nanostructures. While the folding of single molecules into complex structures is routinely achieved through engineering basepair sequences, much less…

Soft Condensed Matter · Physics 2025-05-15 Soumen De Karmakar , Thomas Speck

We consider a model of algorithmic self-assembly of geometric shapes out of square Wang tiles studied in SODA 2010, in which there are two types of tiles (e.g., constructed out of DNA and RNA material) and one operation that destroys all…

Computational Complexity · Computer Science 2010-07-09 Erik D. Demaine , Matthew J. Patitz , Robert T. Schweller , Scott M. Summers

A construction method for duplex cage structures with icosahedral sym- metry made out of single-stranded DNA molecules is presented and applied to an icosidodecahedral cage. It is shown via a mixture of analytic and computer techniques that…

Biomolecules · Quantitative Biology 2013-04-09 N. E. Grayson , A. Taormina , R. Twarock

The development of novel strategies for self-assembly in the field of nanotechnology has witnessed remarkable progress in recent years. Here, we present a DNA-driven programmable self-assembly to fabricate the targeted nanophotonic…

Manipulating the way in which colloidal particles self-organise is a central challenge in the design of functional soft materials. Meeting this challenge requires the use of building blocks that interact with one another in a highly…

Soft Condensed Matter · Physics 2021-03-30 Joe G Donaldson , Peter Schall , Laura Rossi
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