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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

In micro- and nano-scale systems, particles can be moved by using an external force like gravity or a magnetic field. In the presence of adhesive particles that can attach to each other, the challenge is to decide whether a shape is…

Computational Geometry · Computer Science 2022-06-16 Jakob Keller , Christian Rieck , Christian Scheffer , Arne Schmidt

Self-assembly processes provide the means to achieve scalable and versatile metamaterials by "bottom-up" fabrication. Despite their enormous potential, especially as a platform for energy materials, self-assembled metamaterials are often…

Applied Physics · Physics 2023-03-09 Jelena Wohlwend , Georg Haberfehlner , Henning Galinski

The design space for a self-assembled multicomponent objects ranges from a solution in which every building block is unique to one with the minimum number of distinct building blocks that unambiguously define the target structure. Using a…

Soft Condensed Matter · Physics 2023-03-13 Joakim Bohlin , Andrew J. Turberfield , Ard A. Louis , Petr Šulc

The algorithmic self-assembly of shapes has been considered in several models of self-assembly. For the problem of \emph{shape construction}, we consider an extended version of the Two-Handed Tile Assembly Model (2HAM), which contains…

Computational Geometry · Computer Science 2016-08-18 Austin Luchsinger , Robert Schweller , Tim Wylie

Building structures with hierarchical order through the self-assembly of smaller blocks is not only a prerogative of nature, but also a strategy to design artificial materials with tailored functions. We explore in simulation the…

Soft Condensed Matter · Physics 2020-02-17 Santi Prestipino , Domenico Gazzillo , Gianmarco Munaò , Dino Costa

Mutually repelling particles form spontaneously ordered clusters when forced into confinement. The clusters may adopt similar spatial arrangements even if the underlying particle interactions are contrastingly different. Here we demonstrate…

Soft Condensed Matter · Physics 2026-02-13 P. D. S. de Lima , R. De La Cour , K. Gaff , J. M. de Araújo , S. J. Cox , M. S. Ferreira , S. Hutzler

We outline a basic strategy of how self-propulsion can be used to improve the yield of a typical colloidal self-assembly process. The success of this approach is predicated on the thoughtful design of the colloidal building block as well as…

Soft Condensed Matter · Physics 2016-08-24 S. A. Mallory , A. Cacciuto

Self-assembly is a fundamental concept in biology and of significant interest to nanotechnology. Significant progress has been made in characterizing and controlling the properties of the resulting structures, both experimentally and…

Soft Condensed Matter · Physics 2024-03-06 Florian M. Gartner , Erwin Frey

We develop a class of models with which we simulate the assembly of particles into T1 capsid-like objects using Newtonian dynamics. By simulating assembly for many different values of system parameters, we vary the forces that drive…

Biomolecules · Quantitative Biology 2009-11-11 Michael F. Hagan , David Chandler

The precise arrangement of microscopic objects is critical to the development of functional materials and ornately patterned surfaces. Here, we present an acoustics-based method for the rapid arrangement of microscopic particles into…

Soft Condensed Matter · Physics 2016-02-10 Crystal E. Owens , C. Wyatt Shields , Daniela F. Cruz , Patrick Charbonneau , Gabriel P. Lopez

The hallmark feature of polymorphic systems is their ability to assemble into many possible structures at the same thermodynamic state. Designer polymorphic materials can in principle be engineered via programmable self-assembly, but the…

Soft Condensed Matter · Physics 2025-05-23 Fan Chen , William M. Jacobs

Geometric frustration offers a pathway to soft matter self-assembly with controllable finite sizes. While the understanding of frustration in soft matter assembly derives almost exclusively from continuum elastic descriptions, a current…

Soft Condensed Matter · Physics 2023-08-08 Douglas M. Hall , Mark J. Stevens , Gregory M. Grason

Large protein complexes are assembled from protein subunits to form a specific structure. In our theoretic work, we propose that assembly into the correct structure could be reliably achieved through an assembly line with a specific…

Biological Physics · Physics 2022-03-23 Tyler S. Harmon , Frank Jülicher

We describe a computational model for studying the complexity of self-assembled structures with active molecular components. Our model captures notions of growth and movement ubiquitous in biological systems. The model is inspired by…

Data Structures and Algorithms · Computer Science 2013-01-15 Damien Woods , Ho-Lin Chen , Scott Goodfriend , Nadine Dabby , Erik Winfree , Peng Yin

Both biological and artificial self-assembly processes can take place by a range of different schemes, from the successive addition of identical building blocks, to hierarchical sequences of intermediates, all the way to the fully…

Soft Condensed Matter · Physics 2015-08-12 Jim Madge , Mark A. Miller

Spontaneous mechanical self-assembly of monodisperse bubbles generally leads to disordered foams at low density: producing crystalline structures such as Kelvin foams has proven to be challenging experimentally, despite them being a minimum…

Experiments have reached a monumental capacity for designing and synthesizing microscopic particles for self-assembly, making it possible to precisely control particle concentrations, shapes, and interactions. However, more physical insight…

Soft Condensed Matter · Physics 2026-02-19 Maximilian C. Hübl , Thomas E. Videbæk , Daichi Hayakawa , W. Benjamin Rogers , Carl P. Goodrich

We introduce a simple dynamical rule in which each particle locates a particle that is farthest from it and moves towards it. Repeated application of this algorithm results in the formation of unusual dynamical patterns: during the process…

Dynamical Systems · Mathematics 2019-09-24 Kulveer Singh , Yitzhak Rabin

Self-assembly is a ubiquitous process in synthetic and biological systems, broadly defined as the spontaneous organization of multiple subunits (e.g. macromolecules, particles) into ordered multi-unit structures. The vast majority of…

Soft Condensed Matter · Physics 2023-08-08 Michael F. Hagan , Gregory M. Grason
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