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Generally, the normal displacement-based formation control has a sensing mode that requires the agent not only to have certain knowledge of its direction, but also to gather its local information characterized by nonnegative coupling…

Optimization and Control · Mathematics 2023-06-06 Zhen Li , Yang Tang , Yongqing Fan , Tingwen Huang

We simulate colloids (radius $R \sim 1\mu$m) trapped at the interface between a cholesteric liquid crystal and an immiscible oil, at which the helical order (pitch p) in the bulk conflicts with the orientation induced at the interface,…

Soft Condensed Matter · Physics 2013-11-11 J. S. Lintuvuori , A. C. Pawsey , K. Stratford , M. E. Cates , P. S. Clegg , D. Marenduzzo

We investigate two-dimensional crystal assemblies formed by a binary mixture of colloidal particles with a size ratio of 0.88 and driven by short-ranged depletion interactions. Our experiments show that the orientational order of the…

Soft Condensed Matter · Physics 2025-08-18 S. k. Tahmid Shahriar , Chris Feltman , Sean Machler , Nabila Tanjeem

Angle-constrained formation control has attracted much attention from control community due to the advantage that inter-edge angles are invariant under uniform translations, rotations, and scalings of the whole formation. However, almost…

Systems and Control · Electrical Eng. & Systems 2024-02-08 Kun Li , Zhixi Shen , Gangshan Jing , Yongduan Song

The self-assembly of nanocrystals enables new classes of materials whose properties are controlled by the periodicities of the assembly, as well as by the size, shape and composition of the nanocrystals. While self-assembly of spherical…

We formulate statistical-mechanical inverse methods in order to determine optimized interparticle interactions that spontaneously produce target many-particle configurations. Motivated by advances that give experimentalists greater and…

Soft Condensed Matter · Physics 2007-05-23 Mikael C. Rechtsman , Salvatore Torquato , Frank H. Stillinger

Algorithmic self-assembly, a generalization of crystal growth processes, has been proposed as a mechanism for autonomous DNA computation and for bottom-up fabrication of complex nanostructures. A `program' for growing a desired structure…

Materials Science · Physics 2010-01-08 Rebecca Schulman , Erik Winfree

The field of complex self-assembly is moving toward the design of multi-particle structures consisting of thousands of distinct building blocks. To exploit the potential benefits of structures with such `addressable complexity,' we need to…

Soft Condensed Matter · Physics 2015-06-02 William M. Jacobs , Aleks Reinhardt , Daan Frenkel

Recently it has been shown that an aggregation of Thermostatically Controlled Loads (TCLs) can be utilized to provide fast regulating reserve service for power grids and the behavior of the aggregation can be captured by a stochastic…

Systems and Control · Computer Science 2014-04-09 Borhan M. Sanandaji , He Hao , Kameshwar Poolla , Tyrone L. Vincent

Evaporative self-assembly offers a simple, cost-effective method for producing functional nanostructured materials. However, achieving tunable and ordered assemblies remains challenging, especially when working with complex building blocks…

Soft Condensed Matter · Physics 2025-08-14 Arun Dadwal , Meenu Prasher , Nitin Kumar

Rational design strategies for self-assembly require a detailed understanding of both the equilibrium state and the assembly kinetics. While the former is starting to be well understood, the latter remains a major theoretical challenge,…

Soft Condensed Matter · Physics 2026-03-03 Maximilian C. Hübl , Carl P. Goodrich

Active colloidal particles typically exhibit a pronounced affinity for accumulating and being captured at boundaries. Here, we engineer long-range repulsive interactions between colloids that self-propel under an electric field and…

Soft Condensed Matter · Physics 2025-01-03 Carolina van Baalen , Stefania Ketzetzi , Anushka Tintor , Lucio Isa

Non-aligning self-propelled particles with purely repulsive excluded volume interactions undergo athermal motility-induced phase separation into a dilute gas and a dense cluster phase. Here, we use enhanced sampling computational methods…

Soft Condensed Matter · Physics 2016-10-05 Gabriel S. Redner , Caleb G. Wagner , Aparna Baskaran , Michael F. Hagan

A multiple-image method is developed to accurately calculate the electrostatic interaction between neutral dielectric particles and a uniformly charged dielectric substrate. The difference in dielectric constants between the particle and…

Soft Condensed Matter · Physics 2024-12-18 Xin Li , Changhao Li , Xiangui Chen , Zaixin Wang , Sun Min , Decai Huang

We show that two-dimensional bidisperse assemblies of colloids with strictly repulsive interactions exhibit stripe, cluster, and partially crystallized states when driven over a quenched random substrate. The nonequilibrium states on a…

Soft Condensed Matter · Physics 2009-11-11 C. Reichhardt , C. J. Olson Reichhardt

The possibility to align and organize faceted particles in the bulk offers intriguing possibilities for the design and discovery of materials and architectures exhibiting novel functional properties. The growth of ice crystals can be used…

Materials Science · Physics 2015-07-01 Florian Bouville , Eric Maire , Sylvain Deville

If particles interact according to isotropic pair potentials that favor multiple length scales, in principle a large variety of different complex structures can be achieved by self-assembly. We present, motivate, and discuss a conjecture…

Soft Condensed Matter · Physics 2018-11-07 Erdal C. Oğuz , Aleksandar Mijailović , Michael Schmiedeberg

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

Molecular self-assembly on surfaces constitutes a powerful method for creating tailor-made surface structures with dedicated functionalities. Varying the intermolecular interactions allows for tuning the resulting molecular structures in a…

Mesoscale and Nanoscale Physics · Physics 2020-07-24 Christoph Schiel , Maximilian Vogtland , Ralf Bechstein , Angelika Kühnle , Philipp Maass

It is widely accepted that self-assembling building blocks is one of the promising ways for engineering new materials. Recent years reveal substantial progress in fabricating colloidal particles, polymer blocks and supramolecular aggregates…

Materials Science · Physics 2007-05-23 N. Berdunov , G. Mariotto , K. Balakrishnan , I. V. Shvets