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Spontaneous self-assembly in molecular systems is a fundamental route to both biological and engineered soft matter. Simple micellisation, emulsion formation, and polymer mixing principles are well understood. However, the principles behind…

Soft Condensed Matter · Physics 2021-09-21 Alberto Scacchi , Sousa Javan Nikkhah , Maria Sammalkorpi , Tapio Ala-Nissila

Flexibility governs the many properties of materials and is crucial for the function of proteins and biopolymers. However, how the self-assembly of flexibly bonded particles can lead to larger structures with global reconfigurability is…

Soft Condensed Matter · Physics 2024-06-28 Yogesh Shelke , Daniel J. G. Pearce , Daniela J. Kraft

Self-assembly is a fundamental concept in biology and of significant interest to nanotechnology. Significant progress has been made in characterizing and controlling the properties of the resulting structures, both experimentally and…

Soft Condensed Matter · Physics 2024-03-06 Florian M. Gartner , Erwin Frey

The self-assembly of particles into organized structures is a key feature of living organisms and a major engineering challenge. While it may proceed through the binding of perfectly matched, puzzle-pieces-like particles, many other…

Soft Condensed Matter · Physics 2024-04-08 Hugo Le Roy , M. Mert Terzi , Martin lenz

Tile-based self-assembly systems are capable of universal computation and algorithmically-directed growth. Systems capable of such behavior typically make use of "glue cooperation" in which the glues on at least $2$ sides of a tile must…

Emerging Technologies · Computer Science 2019-03-15 Daniel Hader , Matthew J. Patitz

We introduce staged self-assembly of Wang tiles, where tiles can be added dynamically in sequence and where intermediate constructions can be stored for later mixing. This model and its various constraints and performance measures are…

Computational Geometry · Computer Science 2008-03-04 Erik D. Demaine , Martin L. Demaine , Sandor P. Fekete , Mashhood Ishaque , Eynat Rafalin , Robert T. Schweller , Diane Souvaine

Self-assembly processes are widespread in nature, and lie at the heart of many biological and physical phenomena. The characteristics of self-assembly building blocks determine the structures that they form. Two crucial properties are the…

Soft Condensed Matter · Physics 2018-09-11 S. Tesoro , S. E. Ahnert , A. S. Leonard

A major goal in nanoscience and nanotechnology is the self-assembly of any desired complex structure with a system of particles interacting through simple potentials. To achieve this objective, intense experimental and theoretical efforts…

Soft Condensed Matter · Physics 2014-09-11 Daniel Salgado-Blanco , Carlos I. Mendoza

Thin-film self-assembly of three-dimensional (3D) microsystems presents a compelling route to integrate complex functionalities into ultra-compact volumes, yet strategies for incorporating tunable ion-conducting elements remain limited.…

At the cutting edge of materials science, matter is designed to self-organize into structures that perform a wide range of functions. The past two decades have witnessed major innovations in the versatility of building blocks, ranging from…

Soft Condensed Matter · Physics 2022-09-26 Angus McMullen , Maitane Muñoz Basagoiti , Zorana Zeravcic , Jasna Brujic

The Tile Automata (TA) model describes self-assembly systems in which monomers can build structures and transition with an adjacent monomer to change their states. This paper shows that seeded TA is a non-committal intrinsically universal…

Cellular Automata and Lattice Gases · Physics 2024-07-17 Tim Gomez , Elise Grizzell , Asher Haun , Ryan Knobel , Tom Peters , Robert Schweller , Tim Wylie

We propose a general framework for solving inverse self-assembly problems, i.e. designing interactions between elementary units such that they assemble spontaneously into a predetermined structure. Our approach uses patchy particles as…

Soft Condensed Matter · Physics 2022-07-13 John Russo , Flavio Romano , Lukas Kroc , Francesco Sciortino , Lorenzo Rovigatti , Petr Sulc

Self-assembly is the mechanism that controls the formation of well defined structures from disordered pre-existing parts. Despite the importance of self-assembly as a manufacturing method and the increasingly large number of experimental…

Soft Condensed Matter · Physics 2007-08-15 Emanuela Bianchi , Emilia La Nave , Piero Tartaglia , Francesco Sciortino

The cytoplasm is a heterogeneous mixture containing many types of proteins that self-assemble into a wide variety of complexes. The accuracy and speed of cytoplasmic self-assembly is astonishing because it involves the correct…

Statistical Mechanics · Physics 2025-11-21 Félix Benoist , Pablo Sartori

In the self-assembly process which drives the formation of cellular membranes, micelles, and capsids, a collection of separated subunits spontaneously binds together to form functional and more ordered structures. In this work, we study the…

Biological Physics · Physics 2021-05-04 Mobolaji Williams

Patterned self-assembly is a process whereby coloured tiles self-assemble to build a rectangular coloured pattern. We propose self-assembly (SA) hypergraph automata as an automata-theoretic model for patterned self-assembly. We investigate…

Discrete Mathematics · Computer Science 2013-02-13 Lila Kari , Steffen Kopecki , Amirhossein Simjour

The recently introduced Thermodynamic Binding Networks (TBN) model was developed with the purpose of studying self-assembling systems by focusing on their thermodynamically favorable final states, and ignoring the kinetic pathways through…

Emerging Technologies · Computer Science 2018-02-09 Cameron Chalk , Jacob Hendricks , Matthew J. Patitz , Michael Sharp

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 abstract models of algorithmic self-assembly, synchronization between attachments has emerged as a crucial distinction between the classical asynchronous model (aTAM) and a new synchronous model, the syncTAM. This paper presents recent…

Computational Geometry · Computer Science 2026-05-28 Florent Becker , Phillip Drake , Matthew J. Patitz , Ryder Smith

We introduce a new property of tile self-assembly systems that we call size-separability. A system is size-separable if every terminal assembly is a constant factor larger than any intermediate assembly. Size-separability is motivated by…

Computational Geometry · Computer Science 2014-04-30 Andrew Winslow