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We present a quantitative measure of physical complexity, based on the amount of information required to build a given physical structure through self-assembly. Our procedure can be adapted to any given geometry, and thus to any given type…

Statistical Mechanics · Physics 2010-09-02 S. E. Ahnert , I. G. Johnston , T. M. A. Fink , J. P. K. Doye , A. A. Louis

The precise arrangement of microscopic objects is critical to the development of functional materials and ornately patterned surfaces. Here, we present an acoustics-based method for the rapid arrangement of microscopic particles into…

Soft Condensed Matter · Physics 2016-02-10 Crystal E. Owens , C. Wyatt Shields , Daniela F. Cruz , Patrick Charbonneau , Gabriel P. Lopez

Self-assembly due to capillary forces is a common method for generating 2D mesoscale structures from identical floating particles at the liquid-air interface. Designing building blocks to obtain a desired mesoscopic structure is a…

Soft Condensed Matter · Physics 2014-02-11 M. Poty , G. Lumay , N. Vandewalle

Mutually repelling particles form spontaneously ordered clusters when forced into confinement. The clusters may adopt similar spatial arrangements even if the underlying particle interactions are contrastingly different. Here we demonstrate…

Soft Condensed Matter · Physics 2026-02-13 P. D. S. de Lima , R. De La Cour , K. Gaff , J. M. de Araújo , S. J. Cox , M. S. Ferreira , S. Hutzler

Motivated by targeted drug delivery, we investigate the gathering of particles in the full tilt model of externally controlled motion planning: A set of particles is located at the tiles of a polyomino with all particles reacting uniformly…

Computational Geometry · Computer Science 2026-03-04 Sándor P. Fekete , Jonas Friemel , Peter Kramer , Jan-Marc Reinhardt , Christian Rieck , Christian Scheffer

The fabrication of versatile building blocks that are reliably self-assemble into desired ordered and disordered phases is amongst the hottest topics in contemporary material science. To this end, microscopic units of varying complexity,…

Soft Condensed Matter · Physics 2016-03-23 Lorenzo Rovigatti , Barbara Capone , Christos N. Likos

The ability to synthesize shape-controlled polymer particles will benefit a wide range of applications including targeted drug delivery and metamaterials with reconfigurable structures, but existing synthesis approaches are commonly…

Soft Condensed Matter · Physics 2025-10-02 Apoorva Jain , Soumyamouli Pal , Nicholas L. Abbott , Rong Yang

In this paper, we present a 2D numerical model developed to simulate the dynamics of soft, deformable particles. To accommodate significant particle deformations, the particle surface is represented as a narrow shell composed of mass points…

Computational Physics · Physics 2025-04-01 Yohann Trivino , Vincent Richefeu , Farhang Radjai , Komlanvi Lampoh , Jean-Yves Delenne

Motivated by advances is nanoscale applications and simplistic robot agents, we look at problems based on using a global signal to move all agents when given a limited number of directional signals and immovable geometry. We study a model…

Computational Geometry · Computer Science 2020-03-31 David Caballero , Angel A. Cantu , Timothy Gomez , Austin Luchsinger , Robert Schweller , Tim Wylie

Self-assembly of complex and functional materials remains a grand challenge in soft material science. Efficient assembly depends on a delicate balance between thermodynamic and kinetic effects, requiring fine-tuning affinities and…

Soft Condensed Matter · Physics 2024-11-14 Wei-Shao Wei , Anthony Trubiano , Christian Sigl , Stefan Paquay , Hendrik Dietz , Michael F. Hagan , Seth Fraden

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

Ordering nanoparticles into a desired super-structure is often crucial for their technological applications. We use molecular dynamics simulations to study the assembly of nanoparticles in a polymer brush randomly grafted to a planar…

Soft Condensed Matter · Physics 2017-12-11 Shengfeng Cheng , Mark J. Stevens , Gary S. Grest

We show how to design a universal shape replicator in a self-assembly system with both attractive and repulsive forces. More precisely, we show that there is a universal set of constant-size objects that, when added to any unknown hole-free…

Computational Geometry · Computer Science 2016-08-02 Cameron Chalk , Erik D. Demaine , Martin L. Demaine , Eric Martinez , Robert Schweller , Luis Vega , Tim Wylie

In this work, we study theoretical models of \emph{programmable matter} systems. The systems under consideration consist of spherical modules, kept together by magnetic forces and able to perform two minimal mechanical operations (or…

Data Structures and Algorithms · Computer Science 2017-03-14 Othon Michail , George Skretas , Paul G. Spirakis

The new insights into the atomic structure empower one to develop materials by a bottom-up approach. The study of colloids is profitable in many ways. Considering the research in this field is beneficial. Developing tiny metallic particles…

Materials Science · Physics 2026-05-20 Mubarak Ali

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

Self-assembly is a phenomenon observed in nature at all scales where autonomous entities build complex structures, without external influences nor centralised master plan. Modelling such entities and programming correct interactions among…

Computational Complexity · Computer Science 2013-09-26 German Terrazas , Hector Zenil , Natalio Krasnogor

In this paper we create a model of particle motion on a three-dimensional lattice using discrete random walk with small steps. We rigorously construct a probability space of the particle trajectories. Unlike deterministic approach in…

Probability · Mathematics 2022-03-04 Farida Kachapova , Ilias Kachapov

In three-dimensional electromagnetic configurations that result from unstable resistive tearing modes particles can efficiently be accelerated to relativistic energies. To prove this resistive magnetohydrodynamic simulations are used as…

Astrophysics · Physics 2009-11-07 Christoph Nodes , Guido T. Birk , Harald Lesch , R. Schopper

Assembly planning is a fundamental problem in robotics and automation, which involves designing a sequence of motions to bring the separate constituent parts of a product into their final placement in the product. Assembly planning is…

Computational Geometry · Computer Science 2023-03-23 Pankaj K. Agarwal , Boris Aronov , Tzvika Geft , Dan Halperin