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Directed self-assembly (DSA) of block-copolymers (BCPs) is one of the most promising developments in the cost-effective production of nanoscale devices. The process makes use of the natural tendency for BCP mixtures to form nanoscale…

Optimization and Control · Mathematics 2023-04-26 Dingcheng Luo , Lianghao Cao , Peng Chen , Omar Ghattas , J. Tinsley Oden

Curved structures in soft matter and biological systems commonly emerge as a result of self-assembly processes where building blocks aggregate in a controlled manner, giving rise to specific system structure and properties. Learning how to…

Soft Condensed Matter · Physics 2025-02-24 Andraž Gnidovec , Simon Čopar

This work presents a general and unified theory describing block copolymer self-assembly in the presence of free surfaces and nanoparticles in the context of Self-Consistent Filed Theory. Specifically, the derived theory applies to free and…

Soft Condensed Matter · Physics 2021-12-17 Daniil Bochkov , Ivana Bagaric , Gaddiel Ouaknin , Frederic Gibou

The goal of inverse self-assembly is to design inter-particle interactions capable of assembling the units into a desired target structure. The effective assembly of complex structures often requires the use of multiple components, each new…

Soft Condensed Matter · Physics 2023-11-08 Camilla Beneduce , Francesco Sciortino , Petr Sulc , John Russo

Self-consistent field theory (SCFT) and strong segregation theory (SST) are used to explore the parameter space governing the self-assembly of cylinder forming block copolymers (BCPs) on a modulated substrate. The stability of in-plane…

Materials Science · Physics 2018-11-16 Karim Gadelrab , Alfredo Alexander-Katz

A generalized self-consistent field approach for polymer networks with fixed topology is developed. It is shown that the theory reproduces the localization of crosslinks which is characteristic for gels. The theory is then used to study the…

Soft Condensed Matter · Physics 2015-06-17 Friederike Schmid

This paper introduces a new shape-matching methodology, combinative matching, to combine interlocking parts for geometric shape assembly. Previous methods for geometric assembly typically rely on aligning parts by finding identical surfaces…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Nahyuk Lee , Juhong Min , Junhong Lee , Chunghyun Park , Minsu Cho

Colloidal self-assembly -- the spontaneous organization of colloids into ordered structures -- has been considered key to produce next-generation materials. However, the present-day staggering variety of colloidal building blocks and the…

Soft Condensed Matter · Physics 2021-06-29 Gabriele Maria Coli , Emanuele Boattini , Laura Filion , Marjolein Dijkstra

The rational design of novel polymers with tailored material properties has been a long-standing challenge in the field due to the large number of possible polymer design variables. To accelerate this design process, there is a critical…

Soft Condensed Matter · Physics 2025-04-11 Vinson Liao , Arthi Jayaraman

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

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

Diblock copolymers blended with homopolymer may self-assemble into spherical, cylindrical or lamellar aggregates. Transitions between these structures may be driven by varying the homopolymer molecular weight or the molecular weight or…

Statistical Mechanics · Physics 2011-06-28 M. J. Greenall , D. M. A. Buzza , T. C. B. McLeish

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

In this paper we introduce a new method to design interparticle interactions to target arbitrary crystal structures via the process of self-assembly. We show that it is possible to exploit the curvature of the crystal nucleation free-energy…

Soft Condensed Matter · Physics 2010-12-21 William L. Miller , Angelo Cacciuto

Using Monte Carlo simulations, we investigate the self-assembly of model nanoparticles inside a matrix of model equilibrium polymers (or matrix of Wormlike micelles) as a function of the polymeric matrix density and the excluded volume…

Soft Condensed Matter · Physics 2018-04-03 Sk. Mubeena , Apratim Chatterji

We prove for the first time that, if a linear inverse problem exhibits a group symmetry structure, gradient-based optimizers can be designed to exploit this structure for faster convergence rates. This theoretical finding demonstrates the…

Optimization and Control · Mathematics 2025-05-21 Junqi Tang , Guixian Xu

In this paper, we introduce the following problem in the theory of algorithmic self-assembly: given an input shape as the seed of a tile-based self-assembly system, design a finite tile set that can, in some sense, uniquely identify whether…

Computational Complexity · Computer Science 2010-06-16 Matthew J. Patitz , Scott M. Summers

Block copolymer (BCP) melt assembly has been the subject of decades of study, with focus largely on self-organized spatial patterns of periodically-ordered segment density. In this study, we demonstrate that underlying these otherwise…

Soft Condensed Matter · Physics 2017-06-21 Ishan Prasad , Youngmi Seo , Lisa M. Hall , Gregory M. Grason

Self-folding is an emerging paradigm for the inverse design of three-dimensional structures. While most efforts have concentrated on the shape of the net, our approach introduces a new design dimension-bond specificity between the edges. We…

Soft Condensed Matter · Physics 2025-01-14 Diogo E. P. Pinto , Nuno A. M. Araújo , Petr Šulc , John Russo

Self-assembly of ordered nanometer-scale patterns is interesting in itself, but its practical value depends on the ability to predict and control pattern formation. In this paper we demonstrate theoretically and numerically that engineering…

Soft Condensed Matter · Physics 2020-06-30 Bjarke Frost Nielsen , Gaute Linga , Amalie Christensen , Joachim Mathiesen