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We introduce a new model of algorithmic tile self-assembly called size-dependent assembly. In previous models, supertiles are stable when the total strength of the bonds between any two halves exceeds some constant temperature. In this…

Computational Geometry · Computer Science 2015-09-24 Sándor P. Fekete , Robert T. Schweller , Andrew Winslow

The observation by Ke et al. [Science 338, 1177 (2012)] that large numbers of short, pre-designed DNA strands can assemble into three-dimensional target structures came as a great surprise, as no colloidal self-assembling system has ever…

Soft Condensed Matter · Physics 2014-06-12 Aleks Reinhardt , Daan Frenkel

Co-assembly of inorganic nanoparticles (NPs) and nanostructured polymer matrix represents an intricate interplay of enthalpic or entropic forces. Particle size largely affects the phase behavior of the nanocomposite. Theoretical studies…

Soft Condensed Matter · Physics 2022-04-25 Le Ma , Hejin Huang , Peter Ercius , Alfredo Alexander-Katz , Ting Xu

Equilibrium self-assembly and conventional materials processing techniques fall far short of mimicking dynamic self-actuating processes that are commonplace throughout biology. To bridge the gap between living and synthetic matter, we study…

Anticipating the low energy arrangements of atoms in space is an indispensable scientific task. Modern stochastic approaches to searching for these configurations depend on the optimisation of structures to nearby local minima in the energy…

Materials Science · Physics 2019-02-07 Chris J. Pickard

We show that the self-assembly of a diverse collection of building blocks can be understood within a common physical framework. These building blocks, which form periodic honeycomb networks and nonperiodic variants thereof, range in size…

Quantum vacuum forces dictate the interaction between individual atoms and dielectric surfaces at nanoscale distances. For example, their large strengths typically overwhelm externally applied forces, which makes it challenging to…

Quantum Physics · Physics 2015-06-17 D. E. Chang , K. Sinha , J. M. Taylor , H. J. Kimble

Natural ceramic composites present complex microstructures that lead to tortuous crack paths and confer them high toughness. Current microreinforced composites do not yet reach the same level of complexity in their microstructures,…

Materials Science · Physics 2022-01-14 Xin Ying Chan , Clarence Chua , Sharlene Tan , Hortense Le Ferrand

Nature has engineered complex designs to achieve advanced properties and functionalities through evolution, over millions of years. Many organisms have adapted to their living environment producing extremely efficient materials and…

A key feature of mechanical structures ranging from crumple zones in cars to padding in packaging is their ability to provide protection by absorbing mechanical energy. Designing structures to efficiently meet these needs has profound…

This article reviews recent inverse statistical-mechanical methodologies that we have devised to optimize interaction potentials in soft matter systems that correspond to stable "target" structures. We are interested in finding the…

Soft Condensed Matter · Physics 2008-11-05 Salvatore Torquato

Robotic assembly tasks involve complex and low-clearance insertion trajectories with varying contact forces at different stages. While the nominal motion trajectory can be easily obtained from human demonstrations through kinesthetic…

Robotics · Computer Science 2021-03-11 Yan Wang , Cristian C. Beltran-Hernandez , Weiwei Wan , Kensuke Harada

The growth of multicomponent structures in simulations and experiments often results in kinetically trapped, nonequilibrium objects. In such cases we have no general theoretical framework for predicting the outcome of the growth process.…

Soft Condensed Matter · Physics 2016-08-10 Ranjan V. Mannige , Stephen Whitelam

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

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

Self-shaping of curved structures, especially those involving flexible thin layers, has attracted increasing attention because of their broad potential applications in e.g. nanoelectromechanical/micro-electromechanical systems (NEMS/MEMS),…

Soft Condensed Matter · Physics 2015-12-17 Zi Chen , Gaoshan Huang , Ian Trase , Xiaomin Han , Yongfeng Mei

Shape assembly composes complex shapes geometries by arranging simple part geometries and has wide applications in autonomous robotic assembly and CAD modeling. Existing works focus on geometry reasoning and neglect the actual physical…

Computer Vision and Pattern Recognition · Computer Science 2023-03-14 Yichen Li , Kaichun Mo , Yueqi Duan , He Wang , Jiequan Zhang , Lin Shao , Wojciech Matusik , Leonidas Guibas

Nanochains of atoms, molecules and polymers have gained recent interest in the experimental sciences. This article contributes to an advanced mathematical modeling of the mechanical properties of nanochains that allow for heterogenities,…

Analysis of PDEs · Mathematics 2019-09-17 Laura Lauerbach , Stefan Neukamm , Mathias Schäffner , Anja Schlömerkemper

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

Anisotropy at the level of the inter-particle interaction provides the particles with specific instructions for the self-assembly of target structures. The ability to synthesize non-spherical colloids, together with the possibility of…

Soft Condensed Matter · Physics 2020-01-03 Carina Karner , Christoph Dellago , Emanuela Bianchi
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