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An optimal control strategy is developed to construct nanostructures of desired geometry along line segments by means of directed self-assembly of charged particles. Such a control strategy determines the electric potentials of a set of…

Dynamical Systems · Mathematics 2016-03-02 Arash Komaee , Paul I. Barton

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

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 envision programmable matter as a system of nano-scale agents (called particles) with very limited computational capabilities that move and compute collectively to achieve a desired goal. We use the geometric amoebot model as our…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-15 Joshua J. Daymude , Robert Gmyr , Kristian Hinnenthal , Irina Kostitsyna , Christian Scheideler , Andréa W. Richa

The field of complex self-assembly is moving toward the design of multi-particle structures consisting of thousands of distinct building blocks. To exploit the potential benefits of structures with such `addressable complexity,' we need to…

Soft Condensed Matter · Physics 2015-06-02 William M. Jacobs , Aleks Reinhardt , Daan Frenkel

We prove a Pumping Lemma for the noncooperative abstract Tile Assembly Model, a model central to the theory of algorithmic self-assembly since the beginning of the field. This theory suggests, and our result proves, that small differences…

Computational Complexity · Computer Science 2020-02-11 Pierre-Étienne Meunier , Damien Regnault , Damien Woods

We introduce allostery-mimetic building blocks model for self-assembly of 3D structures. We represent the building blocks as patchy particles, where each binding site (patch) can be irreversibly activated or deactivated by binding of the…

Computational Physics · Physics 2024-03-19 Joshua Evans , Petr Šulc

Recent experimental utilization of liquid substrate in the production of two-dimensional crystals, such as graphene, together with a general interest in amorphous materials, raises the following question: is it beneficial to use a liquid…

Statistical Mechanics · Physics 2022-03-14 Deborah Schwarcz , Stanislav Burov

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

We report numerical investigations of a three-dimensional model of diffusive growth of fine particles, the internal structure of which corresponds to different crystal lattices. A growing cluster (particle) is immersed in, and exchanges…

Statistical Mechanics · Physics 2010-10-12 Vyacheslav Gorshkov , Alexandr Zavalov , Vladimir Privman

Functional nanoparticles (NPs) have gained significant attention as a promising application in various fields, including sensor, smart coating, drug delivery, and more. Here, we propose a novel mechanism assisted by machine-learning…

Soft Condensed Matter · Physics 2024-08-06 Changhuang Huang , Kechun Bai , Yanyan Zhu , David Andelman , Xingkun Man

Techniques to reliably pick and place single nanoparticles into functional assemblies are required to incorporate exotic nanoparticles into standard electronic circuits. In this paper we explore the use of electric fields to drive and…

Mesoscale and Nanoscale Physics · Physics 2013-09-24 Benjamin F Porter , Leon Abelmann , Harish Bhaskaran

3D printing enables the fabrication of complex architectures by automating long sequences of additive steps. The increasing sophistication of printers, materials, and generative design promises to make geometric complexity a non-issue in…

Computational Engineering, Finance, and Science · Computer Science 2018-05-30 Matthew K. Gelber , Greg Hurst , Rohit Bhargava

Micro- and nanorobots are often controlled by global input signals, such as an electromagnetic or gravitational field. These fields move each robot maximally until it hits a stationary obstacle or another stationary robot. This paper…

Robotics · Computer Science 2014-02-18 Aaron Becker , Erik D. Demaine , Sándor P. Fekete , James McLurkin

We introduce constructible directed complexes, a combinatorial presentation of higher categories inspired by constructible complexes in poset topology. Constructible directed complexes with a greatest element, called atoms, encompass common…

Category Theory · Mathematics 2019-09-18 Amar Hadzihasanovic

At the cutting edge of materials science, matter is designed to self-organize into structures that perform a wide range of functions. The past two decades have witnessed major innovations in the versatility of building blocks, ranging from…

Soft Condensed Matter · Physics 2022-09-26 Angus McMullen , Maitane Muñoz Basagoiti , Zorana Zeravcic , Jasna Brujic

In particle simulations, the weights of particles determine how many physical particles they represent. Adaptively adjusting these weights can greatly improve the efficiency of the simulation, without creating severe nonphysical artifacts.…

Computational Physics · Physics 2014-11-05 Jannis Teunissen , Ute Ebert

The regular polyhedra have the highest order of 3D symmetries and are exceptionally at- tractive templates for (self)-assembly using minimal types of building blocks, from nano-cages and virus capsids to large scale constructions like glass…

Computational Geometry · Computer Science 2015-07-31 Muhibur Rasheed , Chandrajit Bajaj

In living cells, proteins self-assemble into large functional structures based on specific interactions between molecularly complex patches. Due to this complexity, protein self-assembly results from a competition between a large number of…

Soft Condensed Matter · Physics 2024-12-10 Lara Koehler , Pierre Ronceray , Martin Lenz

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