English
Related papers

Related papers: Optimizing directed self-assembled morphology

200 papers

The Cahn-Hilliard system has been used to describe a wide number of phase separation processes, from co-polymer systems to lipid membranes. In this work the convergence properties of a closest-point based scheme is investigated. In place of…

Numerical Analysis · Mathematics 2017-02-28 Prerna Gera , David Salac

We investigate the evolutionary dynamics of an idealised model for the robust self-assembly of two-dimensional structures called polyominoes. The model includes rules that encode interactions between sets of square tiles that drive the…

Populations and Evolution · Quantitative Biology 2013-09-03 Iain G. Johnston , Sebastian A. Ahnert , Jonathan P. K. Doye , Ard A. Louis

Designing complex physical systems, including photonic structures, is typically a tedious trial-and-error process that requires extensive simulations with iterative sweeps in multi-dimensional parameter space. To circumvent this…

Optics · Physics 2019-02-08 Zhaocheng Liu , Lakshmi Raju , Dayu Zhu , Wenshan Cai

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

Achieving precise control of colloidal self-assembly into specific patterns remains a longstanding challenge due to the complex process dynamics. Recently, machine learning-based state representation and reinforcement learning-based control…

Soft Condensed Matter · Physics 2025-12-19 Andres Lizano-Villalobos , Fangyuan Ma , Wentao Tang , Wei Sun , Xun Tang

Stripe patterns are ubiquitous in nature and everyday life. While the synthesis of these patterns has been thoroughly studied in the literature, their potential to control the mechanics of structured materials remains largely unexplored. In…

Graphics · Computer Science 2023-05-24 Juan Montes Maestre , Yinwei Du , Ronan Hinchet , Stelian Coros , Bernhard Thomaszewski

Nearly thirty years after its inception, the field of DNA-programmed colloidal self-assembly has begun to realize its initial promise. In this review, we summarize recent developments in designing effective interactions and understanding…

Soft Condensed Matter · Physics 2025-05-08 William M. Jacobs , W. Benjamin Rogers

Model merging has emerged as a practical paradigm for integrating multiple independently trained models into a single model without joint retraining. Previous studies have demonstrated the effectiveness of combining parameters through…

Machine Learning · Computer Science 2025-12-02 Zhikang Chen , Sen Cui , Deheng Ye , Min Zhang , Gang Niu , Yu Zhang , Masashi Sugiyama , Tingting Zhu

Molecular building blocks interacting at the nanoscale organize spontaneously into stable mono- layers that display intriguing long-range ordering motifs on the surface of atomic substrates. The patterning process, if appropriately…

Mesoscale and Nanoscale Physics · Physics 2011-02-18 Marta Balbás Gambra , Carsten Rohr , Kathrin Gruber , Bianca Hermann , Thomas Franosch

Controlling the topology of structures self-assembled from a set of heterogeneous building blocks is highly desirable for many applications, but is poorly understood theoretically. Here we show that the thermodynamic theory of self-assembly…

Soft Condensed Matter · Physics 2021-03-04 Andrei A. Klishin , Michael P. Brenner

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

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 study the problem of aggregating polygons by covering them with disjoint representative regions, thereby inducing a clustering of the polygons. Our objective is to minimize a weighted sum of the total area and the total perimeter of the…

Complex nonequilibrium self-assembly enables the formation of materials with specific patterns and functions from the bottom up. How to directionally control the assembly to form the target configuration is a challenge. Here, we propose a…

Soft Condensed Matter · Physics 2026-01-29 Chaoqun Du , Zhiyu Cao , Zhonghuai Hou

Self-assembly driven by phase separation coupled to Coulombic interactions is fundamental to a wide range of applications, examples of which include soft matter lithography via di-block copolymers, membrane design using polyelectrolytes,…

Analysis of PDEs · Mathematics 2016-09-06 Nir Gavish , Idan Versano , Arik Yochelis

The recently developed evolutionary algorithm USPEX proved to be a tool that enables accurate and reliable prediction of structures for a given chemical composition. Here we extend this method to predict the crystal structure of polymers by…

Materials Science · Physics 2019-01-03 Qiang Zhu , Vinit Sharma , Artem R Oganov , Rampi Ramprasad

The regular polyhedra have the highest order of 3D symmetries and are exceptionally at- tractive templates for (self)-assembly using minimal types of building blocks, from nano-cages and virus capsids to large scale constructions like glass…

Computational Geometry · Computer Science 2015-07-31 Muhibur Rasheed , Chandrajit Bajaj

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

Assembly theory has received considerable attention in the recent past. Here we analyze the formal framework of this model and show that assembly pathways coincide with certain minimal hyperpaths in B-hypergraphs. This makes it possible to…

Discrete Mathematics · Computer Science 2025-05-30 Christoph Flamm , Daniel Merkle , Peter F. Stadler

We demonstrate a simple method by which time-dependent interactions can be exploited to improve self-assembly in colloidal systems. We apply this method to two systems: a model colloid with short-ranged attractive potentials that undergoes…

Soft Condensed Matter · Physics 2017-09-13 Christopher J. Fullerton , Robert L. Jack