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We propose a mathematical model of DNA self-assembly using 2D tiles to form 3D nanostructures. This is the first work to combine studies in self-assembly and nanotechnology in 3D, just as Rothemund and Winfree did in the 2D case. Our model…

Computational Complexity · Computer Science 2007-05-23 Ming-Yang Kao , Vijay Ramachandran

Self-limiting assembly of particles represents the state-of-the-art controllability in nanomanufacturing processes where the assembly stops at a designated stage1,2, providing a desirable platform for applications requiring delicate…

Atomic and Molecular Clusters · Physics 2021-11-02 Liang Zhao , Bchara Sidnawi , Jichao Fan , Ruiyang Chen , Thomas Scully , Scott Dietrich , Weilu Gao , Qianhong Wu , Bo Li

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…

In order to study the unstable step motion on vicinal crystal surfaces we devise vicinal Cellular Automata. Each cell from the colony has value equal to its height in the vicinal, initially the steps are regularly distributed. Another array…

We use computational modeling to investigate the assembly thermodynamics of a particle-based model for geometrically frustrated assembly, in which the local packing geometry of subunits is incompatible with uniform, strain-free large-scale…

Soft Condensed Matter · Physics 2021-09-06 Botond Tyukodi , Farzaneh Mohajerani , Douglas M. Hall , Gregory M. Grason , 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

This paper explores the use of negative (i.e., repulsive) interaction the abstract Tile Assembly Model defined by Winfree. Winfree postulated negative interactions to be physically plausible in his Ph.D. thesis, and Reif, Sahu, and Yin…

Data Structures and Algorithms · Computer Science 2015-05-18 David Doty , Lila Kari , Benoit Masson

It is now widely accepted that the CMOS technology implementing irreversible logic will hit a scaling limit beyond 2016, and that the increased power dissipation is a major limiting factor. Reversible computing can potentially require…

Information Theory · Computer Science 2007-07-13 P. Oscar Boykin , Vwani P. Roychowdhury

We consider non cooperative binding in so called `temperature 1', in deterministic (here called {\it confluent}) tile self-assembly systems (1-TAS) and prove the standing conjecture that such systems do not have universal computational…

Computational Complexity · Computer Science 2019-01-25 Jérôme Durand-Lose , Hendrik Jan Hoogeboom , Nataša Jonoska

We show here that a model called directed self-assembly at temperature 1 is unable to do complex computations like the ones of a Turing machine. Since this model can be seen as a generalization of finite automata to 2D languages, a logical…

Computational Complexity · Computer Science 2020-11-20 Pierre-Étienne Meunier , Damien Regnault

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 ability to design and synthesize ever more complicated colloidal particles opens the possibility of self-assembling a zoo of complex structures, including those with one or more self-limited length scales. An undesirable feature of…

Soft Condensed Matter · Physics 2022-03-02 Thomas E. Videbæk , Huang Fang , Daichi Hayakawa , Botond Tyukodi , Michael F. Hagan , W. Benjamin Rogers

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 ability to control forces between sub-micron-scale building blocks offers considerable potential for designing new materials through self-assembly. A typical paradigm is to first identify a particular (crystal) structure that has some…

Soft Condensed Matter · Physics 2024-04-24 Mengjie Zu , Carl Goodrich

Silanization bases on the adsorption, selfassembly and covalent binding of silane molecules onto surfaces, resulting in a densely packed self-assembled monolayer (SAM). Following standard recipes, however, the quality of the monolayer is…

Environmental noise (e.g.heat, ionized particles, etc.) causes transient faults in hardware, which lead to corruption of stored values. Mission-critical devices require such faults to be mitigated by fault-tolerance --- a combination of…

Cryptography and Security · Computer Science 2014-10-28 Filippo Del Tedesco , David Sands , Alejandro Russo

We use a coarse-grained model of DNA-functionalized particles to understand the role of DNA chain length on their self-assembly. We find that the increasing chain length for a given particle size decreases the propensity to form ordered…

Soft Condensed Matter · Physics 2020-01-07 Runfang Mao , Jeetain Mittal

We demonstrate existence of a tile assembly system that self-assembles the statistically self-similar Sierpinski Triangle in the Winfree-Rothemund Tile Assembly Model. This appears to be the first paper that considers self-assembly of a…

Computational Complexity · Computer Science 2011-07-21 Aaron Sterling

Today's hardware technology presents a new challenge in designing robust systems. Deep submicron VLSI technology introduced transient and permanent faults that were never considered in low-level system designs in the past. Still, robustness…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-19 Danny Dolev , Matthias Fuegger , Christoph Lenzen , Ulrich Schmid

We consider the self-assembly of composite structures from a group of nanocomponents, each consisting of particles within an $N$-atom system. Self-assembly pathways and rates for nanocomposites are derived via a multiscale analysis of the…

Biological Physics · Physics 2014-01-06 Stephen Pankavich , Peter Ortoleva
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