English
Related papers

Related papers: Optimal program-size complexity for self-assembly …

200 papers

In contrast to most self-assembling synthetic materials, which undergo unbounded growth, many biological self-assembly processes are self-limited. That is, the assembled structures have one or more finite dimensions that are much larger…

Soft Condensed Matter · Physics 2022-05-25 Huang Fang , Botond Tyukodi , W. Benjamin Rogers , Michael F. Hagan

We show how to design a universal shape replicator in a self-assembly system with both attractive and repulsive forces. More precisely, we show that there is a universal set of constant-size objects that, when added to any unknown hole-free…

Computational Geometry · Computer Science 2016-08-02 Cameron Chalk , Erik D. Demaine , Martin L. Demaine , Eric Martinez , Robert Schweller , Luis Vega , Tim Wylie

The cytoplasm is a heterogeneous mixture containing many types of proteins that self-assemble into a wide variety of complexes. The accuracy and speed of cytoplasmic self-assembly is astonishing because it involves the correct…

Statistical Mechanics · Physics 2025-11-21 Félix Benoist , Pablo Sartori

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

Self-assembled monolayers of microparticles encoding Archimedean and non-regular tessellations promise unprecedented structure-property relationships for a wide spectrum of applications in fields ranging from optoelectronics to surface…

Recent advancements in microbiology have motivated the study of the production of nanostructures with applications such as biomedical computing and molecular robotics. One way to construct these structures is to construct branched DNA…

Ordered nanoarrays, i.e. regular patterns of quantum structures at the nanometre scale, have recently been synthesized in a wide range of systems. Here I explore a possible route to technological exploitation: assuming a simple form of…

Other Condensed Matter · Physics 2007-05-23 Simon C. Benjamin

A shape optimization problem arising from the optimal reinforcement of a membrane by means of one-dimensional stiffeners or from the fastest cooling of a two-dimensional object by means of ``conducting wires'' is considered. The criterion…

Analysis of PDEs · Mathematics 2020-07-14 Giuseppe Buttazzo , Francesco Paolo Maiale

Glycine on Cu(001) is used as an example to illustrate the critical role of molecular polarity and finite temperature effect in self-assembly of biomolecules at a metal surface. A unified picture for glycine self-assembly on Cu(001) is…

Materials Science · Physics 2012-11-27 Jing Xu , Zheshuai Lin , Sheng Meng , Lifang Xu , Enge Wang

Colloidal particles can spontaneously self-assemble into ordered structures, which not only can manipulate the propagation of light, but also vibration or phonons. Using Monte Carlo simulation, we study the self-assembly of perfectly…

Soft Condensed Matter · Physics 2024-03-11 Ji-Dong Hu , Ting Wang , Qun-Li Lei , Yu-qiang Ma

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

Recent advances in synthetic methods enable designing subunits that self-assemble into structures with precise, finite sizes and well-defined architectures, but yields are frequently suppressed by the formation of off-target metastable…

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

This paper introduces a method to generate highly selective encodings that can be magnetically "programmed" onto physical modules to enable them to self-assemble in chosen configurations. We generate these encodings based on Hadamard…

Robotics · Computer Science 2022-08-09 Martin Nisser , Yashaswini Makaram , Faraz Faruqi , Ryo Suzuki , Stefanie Mueller

We consider zero temperature packings of soft spheres, that undergo a jamming to unjamming transition as a function of packing fraction. We compare differences in the structure, as measured from the contact statistics, of a finite subsystem…

Soft Condensed Matter · Physics 2019-08-14 Daniel Hexner , Pierfrancesco Urbani , Francesco Zamponi

Recent advances enable the creation of nanoscale building blocks with complex geometries and interaction specificities for self-assembly. This nearly boundless design space necessitates design principles for defining the mutual interactions…

Soft Condensed Matter · Physics 2024-03-29 Daichi Hayakawa , Thomas E. Videbæk , Gregory M. Grason , W. Benjamin Rogers

The demand for the three-dimensional (3D) integration of electronic components is on a steady rise. The through-silicon-via (TSV) technique emerges as the only viable method for integrating single-crystalline device components in a 3D…

In this paper we introduce the \emph{robust random number generation} problem where the goal is to design an abstract tile assembly system (aTAM system) whose terminal assemblies can be split into $n$ partitions such that a resulting…

Formal Languages and Automata Theory · Computer Science 2016-08-01 Cameron Chalk , Bin Fu , Eric Martinez , Robert Schweller , Tim Wylie

Inverse methods of statistical mechanics have facilitated the discovery of pair potentials that stabilize a wide variety of targeted lattices at zero temperature. However, such methods are complicated by the need to compare, within the…

Statistical Mechanics · Physics 2016-09-19 Beth A. Lindquist , Ryan B. Jadrich , Thomas M. Truskett

The regulation of temperature at the macro and microscale is a major energy-consuming process of humankind. Modern cooling systems account for 15% of the global energy consumption and are responsible for 10% of greenhouse gas emissions. Due…