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We have formulated a theory of self-assembly based on the notion of local gauge invariance at the mesoscale. Local gauge invariance at the mesoscale generates the required long- range entropic forces responsible for self-assembly in binary…

Soft Condensed Matter · Physics 2007-05-23 Shirish M. Chitanvis

The self-assembly of complex structures from engineered subunits is a major goal of nanotechnology, but controlling their size becomes increasingly difficult in larger assemblies. Existing strategies present significant challenges, among…

The efficient and controlled assembly of complex structures from macromolecular building blocks is a critical open question in both biological systems and nanoscience. Using molecular dynamics simulations we study the self-assembly of…

Soft Condensed Matter · Physics 2014-06-10 Shengfeng Cheng , Mark J. Stevens

Molecular self-assembly is a well-known technique to create highly functional nanostructures on surfaces. Self-assembly on two-dimensional materials is a developing field and has already resulted in the discovery of several rich and…

Mesoscale and Nanoscale Physics · Physics 2017-09-04 Avijit Kumar , Kaustuv Banerjee , Peter Liljeroth

Active fault tolerance is essential for robot swarms to retain long-term autonomy. Previous work on swarm fault tolerance focuses on reacting to electro-mechanical faults that are spontaneously injected into robot sensors and actuators.…

Robotics · Computer Science 2024-10-28 James O'Keeffe , Alan Gregory Millard

A guiding principle in self-assembly is that, for high production yield, nucleation of structures must be significantly slower than their growth. However, details of the mechanism that impedes nucleation are broadly considered irrelevant.…

Biological Physics · Physics 2020-03-19 Florian M. Gartner , Isabella R. Graf , Patrick Wilke , Philipp M. Geiger , Erwin Frey

Self-assembly in natural and synthetic molecular systems can create complex aggregates or materials whose properties and functionality rises from their internal structure and molecular arrangement. The key microscopic features that control…

Soft Condensed Matter · Physics 2021-09-03 Alberto Scacchi , Maria Sammalkorpi , Tapio Ala-Nissila

Proteinaceous aggregation occurs through self-assembly-- a process not entirely understood. In a recent article [1], an analytical theory for amyloid fibril growth via secondary rather than primary nucleation was presented. Remarkably, with…

Biological Physics · Physics 2010-06-16 Barry D. Ganapol

Self-assembly is traditionally described as the process through which an initially disordered system relaxes towards an equilibrium ordered phase only driven by local interactions between its building blocks. However, This definition is too…

Soft Condensed Matter · Physics 2015-06-15 Lorenzo Di Michele , Francesco Varrato , Jurij Kotar , Simon H. Nathan , Giuseppe Foffi , Erika Eiser

We introduce fault-tolerant (FT) architectures for error correction with the XZZX cluster state based on performing measurements of two-qubit Pauli operators $Z\otimes Z$ and $X\otimes X$, or fusions, on a collection of few-body entangled…

Quantum Physics · Physics 2023-09-26 Kaavya Sahay , Jahan Claes , Shruti Puri

The present study reports on the structure formation in thin epitaxial nickel-aluminum films (Ni1-xAlx; Al atomic fraction x up to x=0.24) grown on MgO(001) substrates by magnetron sputtering. Experimental and computational data demonstrate…

Self-assembly is the autonomous organization of components into patterns or structures: an essential ingredient of biology and a desired route to complex organization. At equilibrium, the structure is encoded through specific interactions,…

Soft Condensed Matter · Physics 2018-10-03 Antoine Aubret , Mena Youssef , Stefano Sacanna , Jérémie Palacci

We ask the question of how small a self-assembling set of tiles can be yet have interesting computational behaviour. We study this question in a model where supporting walls are provided as an input structure for tiles to grow along: we…

Emerging Technologies · Computer Science 2021-06-24 Matthew Cook , Tristan Stérin , Damien Woods

In order to build a scalable quantum computer error correction will be required to reduce the impact of errors. Implementing error correction in the framework of measurement based computation manifests itself as the construction of fault…

Quantum Physics · Physics 2018-10-24 Naomi Nickerson , Héctor Bombín

We have revisited the epitaxial growth modes of Fe on W(110) and Mo(110), and propose an overview or our contribution to the field. We show that the Stranski-Krastanov growth mode, recognized for a long time in these systems, is in fact…

Two-Phase TMR conserves energy by partitioning redundancy operations into two stages and making the execution of the third task copy optional, yet it remains susceptible to permanent faults. Reactive-TMR (R-TMR) counters this by isolating…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-30 Yiming Hu

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

Cytoskeletal filaments are capable of self-assembly in the absence of externally supplied chemical energy, but the rapid turnover rates essential for their biological function require a constant flux of ATP or GTP hydrolysis. The same is…

Biological Physics · Physics 2019-08-26 Robert Marsland , Jeremy England

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

We study the self-assembly of halogen-based organic molecules on a passivated silicon surface. The room temperature adsorption of 2,4,6-tris(4-iodophenyl)-1,3,5-triazine (TIPT) on the Si(111)-$\surd$3$\times$$\surd$3-Ag surface is…

Materials Science · Physics 2024-10-07 R Liu , D. Marchese , R. C. Mawhinney , M. C. Gallagher
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