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The interplay between shape anisotropy and directed long-range interactions enables the self-assembly of complex colloidal structures. As a recent highlight, ellipsoidal particles polarized in an external electric field were observed to…

Both biological and artificial self-assembly processes can take place by a range of different schemes, from the successive addition of identical building blocks, to hierarchical sequences of intermediates, all the way to the fully…

Soft Condensed Matter · Physics 2015-08-12 Jim Madge , Mark A. Miller

Self-assembly materials are traditionally designed so that molecular or meso-scale components form a single kind of large structure. Here, we propose a scheme to create "multifarious assembly mixtures", which self-assemble many different…

Disordered Systems and Neural Networks · Physics 2015-06-22 Arvind Murugan , Zorana Zeravcic , Michael P. Brenner , Stanislas Leibler

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

Particles with directional interactions are promising building blocks for new functional materials and may serve as models for biological structures. Mutually attractive nanoparticles that are deformable due to flexible surface groups, for…

Soft Condensed Matter · Physics 2016-07-19 Chris H. J. Evers , Jurriaan A. Luiken , Peter G. Bolhuis , Willem K. Kegel

Designing heterogeneous, self-assembling systems is a central challenge in soft matter and biology. We present a framework that uses gradient-based optimization to invert an analytical yield calculation, tuning systems toward target…

Soft Condensed Matter · Physics 2025-10-21 Livia A. J. Guttieres , Ryan K. Krueger , Remi Drolet , Michael P. Brenner

The self-assembly of anisotropic building blocks into complex spatial architectures is an important design strategy in material science but the mechanisms by which the anisotropic interactions influence the early-stage growth and formation…

Soft Condensed Matter · Physics 2026-05-05 Dillip Kumar Mohapatra , Teun W. J. Verouden , Janne-Mieke Meijer

Ellipsoidal particles confined at liquid interfaces exhibit complex self-assembly behaviour due to quadrupolar capillary interactions induced by meniscus deformation. These interactions cause particles to attract each other in either…

Experiments have reached a monumental capacity for designing and synthesizing microscopic particles for self-assembly, making it possible to precisely control particle concentrations, shapes, and interactions. However, more physical insight…

Soft Condensed Matter · Physics 2026-02-19 Maximilian C. Hübl , Thomas E. Videbæk , Daichi Hayakawa , W. Benjamin Rogers , Carl P. Goodrich

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 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

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

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

This paper presents a multicomponent topology optimization method for designing structures assembled from additively-manufactured components, considering anisotropic material behavior for each component due to its build orientation,…

Computational Engineering, Finance, and Science · Computer Science 2019-11-26 Yuqing Zhou , Tsuyoshi Nomura , Kazuhiro Saitou

The inverse problem of designing component interactions to target emergent structure is fundamental to numerous applications in biotechnology, materials science, and statistical physics. Equally important is the inverse problem of designing…

Computational Physics · Physics 2020-11-20 Carl P. Goodrich , Ella M. King , Samuel S. Schoenholz , Ekin D. Cubuk , Michael Brenner

Self-assembly processes provide the means to achieve scalable and versatile metamaterials by "bottom-up" fabrication. Despite their enormous potential, especially as a platform for energy materials, self-assembled metamaterials are often…

Applied Physics · Physics 2023-03-09 Jelena Wohlwend , Georg Haberfehlner , Henning Galinski

The surface curvature of membranes, interfaces, and substrates plays a crucial role in shaping the self-assembly of particles adsorbed on these surfaces. However, little is known about the interplay between particle anisotropy and surface…

Soft Condensed Matter · Physics 2025-10-30 Gautam Bordia , Thomas P. Russell , Ahmad K. Omar

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

Thanks to a constant energy input, active matter can self-assemble into phases with complex architectures and functionalities such as living clusters that dynamically form, reshape and break-up, which are forbidden in equilibrium materials…

Soft Condensed Matter · Physics 2019-03-27 Falko Schmidt , Benno Liebchen , Hartmut Löwen , Giovanni Volpe

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