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We investigate general properties of non-deterministic self-assembly with asymmetric interactions, using a computational model and DNA tile assembly experiments. By contrasting symmetric and asymmetric interactions we show that the latter…

Soft Condensed Matter · Physics 2016-08-24 S. Tesoro , K. Göpfrich , T. Kartanas , U. F. Keyser , S. E. Ahnert

We report many different nano-structures which are formed when model nano-particles of different sizes (diameter {\sigma} n ) are allowed to aggregate in a background matrix of semi-flexible self assembled polymeric worm like micellar…

Soft Condensed Matter · Physics 2015-06-23 Shaikh Mubeena , Apratim Chatterji

Patchy particles have proven to be a prominent model for studying the self-assembly behavior of various systems, ranging from finite clusters to bulk crystal assemblies, and from synthetic colloidal particles to viruses. The patchy particle…

Soft Condensed Matter · Physics 2025-10-13 Gregory Snyder , Chrisy Xiyu Du

We apply a simple model system of patchy particles to study monodisperse self-assembly, using the Platonic solids as target structures. We find marked differences between the assembly behaviours of the different systems. Tetrahedra,…

Soft Condensed Matter · Physics 2010-01-21 Alex W. Wilber , Jonathan P. K. Doye , Ard A. Louis

The self-assembly of polymer grafted nanoparticles is more and more used in the field of functional materials. However, there is still a lack of analysis on the dynamic transformation paths of different self-assembly morphologies, which…

Soft Condensed Matter · Physics 2026-02-09 Guoqing Meng , Liyuan Chen , Sihang Guo , Junxing Pan , Yingying Wang , Jinjun Zhang

In living cells, proteins self-assemble into large functional structures based on specific interactions between molecularly complex patches. Due to this complexity, protein self-assembly results from a competition between a large number of…

Soft Condensed Matter · Physics 2024-12-10 Lara Koehler , Pierre Ronceray , Martin Lenz

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

A theory describing the forces governing the self-assembly of nanoparticles at the solid-liquid interface is developed. In the process, new theoretical results are derived to describe the effect that the field penetration of a point-like…

Mesoscale and Nanoscale Physics · Physics 2017-09-19 Ryan-Rhys Griffiths

Biomolecular condensates self-assemble when proteins and nucleic acids spontaneously demix to form droplets within the crowded intracellular milieu. This simple mechanism underlies the formation of a wide variety of membraneless…

Statistical Mechanics · Physics 2021-06-30 William M. Jacobs

Colloidal particles can spontaneously self-assemble into ordered structures, which not only can manipulate the propagation of light, but also vibration or phonons. Using Monte Carlo simulation, we study the self-assembly of perfectly…

Soft Condensed Matter · Physics 2024-03-11 Ji-Dong Hu , Ting Wang , Qun-Li Lei , Yu-qiang Ma

We consider the self-assembly of fractals in one of the most well-studied models of tile based self-assembling systems known as the Two-handed Tile Assembly Model (2HAM). In particular, we focus our attention on a class of fractals called…

Emerging Technologies · Computer Science 2018-10-12 Jacob Hendricks , Joseph Opseth

The lattice cluster theory (LCT) for strongly interacting, self-assembling telechelic polymers provides a theoretical tool that enables establishing the connections between important microscopic molecular details of self-assembling polymers…

Soft Condensed Matter · Physics 2016-05-31 Wen-Sheng Xu , Karl F. Freed

We review some recent results related to the self-assembly of infinite structures in the Tile Assembly Model. These results include impossibility results, as well as novel tile assembly systems in which shapes and patterns that represent…

Computational Complexity · Computer Science 2009-06-19 Matthew J. Patitz , Scott M. Summers

We study the phase diagram of a binary mixture of patchy particles which has been designed to form a reversible gel. For this we perform Monte Carlo and molecular dynamics simulations to investigate the thermodynamics of such a system and…

Soft Condensed Matter · Physics 2014-12-17 Sándalo Roldán-Vargas , Frank Smallenburg , Walter Kob , Francesco Sciortino

The self-assembly of submerged cold-plasma-treated polyethylene beads is reported. The plasma-treated immersed millimetrically-sized polyethylene beads formed well-ordered 2D quasi-crystalline structures. The submerged floating of light…

We present a sufficient criterion for the emergence of cluster phases in an ensemble of interacting classical particles with repulsive two-body interactions. Through a zero-temperature analysis in the low density region we determine the…

Soft Condensed Matter · Physics 2025-02-25 Alejandro Mendoza-Coto , Rómulo Cenci , Guido Pupillo , Rogelio Díaz-Méndez , Egor Babaev

This paper answers a long-standing open question in tile-assembly theory, namely that it is possible to strictly assemble discrete self-similar fractals (DSSFs) in the abstract Tile-Assembly Model (aTAM). We prove this in 2 separate ways,…

Computational Geometry · Computer Science 2024-10-11 Florent Becker , Daniel Hader , Matthew J. Patitz

We systematically study the design of simple patchy sphere models that reversibly self-assemble into monodisperse icosahedral clusters. We find that the optimal patch width is a compromise between structural specificity (the patches must be…

Soft Condensed Matter · Physics 2007-09-03 Alex W. Wilber , Jonathan P. K. Doye , Ard A. Louis , Eva G. Noya , Mark A. Miller , Pauline Wong

The simulated self-assembly of molecular building blocks into functional complexes is a key area of study in computational biology and materials science. Self-assembly simulations of proteins using physically-motivated potentials for…

Soft Condensed Matter · Physics 2025-09-03 Ivan Spirandelli , Arnur Nigmetov , Dmitriy Morozov , Myfanwy E. Evans

We study the self-assembly of magnetic colloids using the Stockmayer (SM) model characterized by short-range Lennard-Jones interactions and long-range dipole-dipole interactions. Using molecular dynamics simulations, we design cooling…

Soft Condensed Matter · Physics 2025-06-30 Anuj Kumar Singh , Sanjay Puri , Varsha Banerjee