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The goal of inverse self-assembly is to design inter-particle interactions capable of assembling the units into a desired target structure. The effective assembly of complex structures often requires the use of multiple components, each new…

Soft Condensed Matter · Physics 2023-11-08 Camilla Beneduce , Francesco Sciortino , Petr Sulc , John Russo

We address the inverse problem of designing isotropic pairwise particle interaction potentials that lead to the formation of a desired lattice when a system of particles is cooled. The design problem is motivated by the desire to produce…

Adaptation and Self-Organizing Systems · Physics 2009-05-13 Philip du Toit , Katalin Grubits , Jerrold Marsden , Sorin Costiner

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

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

Controlled micro- to meso-scale porosity is a common materials design goal with possible applications ranging from molecular gas adsorption to particle size selective permeability or solubility. Here, we use inverse methods of statistical…

Soft Condensed Matter · Physics 2016-03-11 Beth A. Lindquist , Ryan B. Jadrich , Thomas M. Truskett

We devise an inverse statistical-mechanical methodology to find optimized interaction potentials that lead spontaneously to a target many-particle configuration. Target structures can possess varying degrees of disorder, thus extending the…

Soft Condensed Matter · Physics 2009-11-11 Mikael Rechtsman , Frank Stillinger , Salvatore Torquato

Throughout the physical sciences, entropy stands out as a pivotal but enigmatic concept that, in materials design, often takes a backseat to energy. Here, we demonstrate how to precisely engineer entropy to achieve desired colloidal…

Soft Condensed Matter · Physics 2019-07-23 Yina Geng , Greg van Anders , Paul M. Dodd , Julia Dshemuchadse , Sharon C. Glotzer

The research of metamaterials has achieved enormous success in the manipulation of light in an artificially prescribed manner using delicately designed sub-wavelength structures, so-called meta-atoms. Even though modern numerical methods…

Optics · Physics 2019-01-31 Wei Ma , Feng Cheng , Yihao Xu , Qinlong Wen , Yongmin Liu

We present a direct method for solving the inverse problem of designing isotropic potentials that cause self-assembly into target lattices. Each potential is constructed by matching its energy spectrum to the reciprocal representation of…

Materials Science · Physics 2015-03-19 Erik Edlund , Oskar Lindgren , Martin Nilsson Jacobi

Inverse design of morphing slender structures with programmable curvature has significant applications in various engineering fields. Most existing studies formulate it as an optimization problem, which requires repeatedly solving the…

Soft Condensed Matter · Physics 2025-08-28 JiaHao Li , Weicheng Huang , YinBo Zhu , Luxia Yu , Xiaohao Sun , Mingchao Liu , HengAn Wu

We study the inverse problem of tuning interaction parameters between charged colloidal particles interacting with a hard-core repulsive Yukawa potential, so that they assemble into specified crystal structures. Here, we target the…

Soft Condensed Matter · Physics 2019-10-02 Rajneesh Kumar , Gabriele M. Coli , Marjolein Dijkstra , Srikanth Sastry

Multi-component self-assembly mixtures offer the possibility of encoding multiple target structures with the same set of interacting components. Selective retrieval of one of the stored structures has been attempted by preparing an initial…

Soft Condensed Matter · Physics 2022-03-23 Arunkumar Bupathy , Daan Frenkel , Srikanth Sastry

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

In this study, a variational method for the inverse problem of self-assembly, i.e., a reconstruction of the interparticle interaction potential of a given structure, is applied to three-dimensional crystals. According to the method, the…

Soft Condensed Matter · Physics 2021-01-22 Masashi Torikai

We demonstrate that inverse statistical mechanical optimization can be used to discover simple (e.g., short-range, isotropic, and convex-repulsive) pairwise interparticle potentials with three-dimensional diamond or simple cubic lattice…

Soft Condensed Matter · Physics 2013-03-19 Avni Jain , Jeffrey R. Errington , Thomas M. Truskett

Assembly of spherical colloidal particles into extended structures, including linear strings, in the absence of directional interparticle bonding interactions or external perturbation could facilitate the design of new functional materials.…

Soft Condensed Matter · Physics 2019-10-15 Debapriya Banerjee , Beth A. Lindquist , Ryan B. Jadrich , Thomas M. Truskett

A new theoretical approach is described for the inverse self-assembly problem, i.e., the reconstruction of the interparticle interaction from a given structure. This theory is based on the variational principle for the functional that is…

Soft Condensed Matter · Physics 2015-04-10 Masashi Torikai

Conventional wisdom presumes that low-coordinated crystal ground states require directional interactions. Using our recently introduced optimization procedure to achieve self-assembly of targeted structures (Phys. Rev. Lett. 95, 228301…

Soft Condensed Matter · Physics 2009-11-11 Mikael C. Rechtsman , Frank H. Stillinger , Salvatore Torquato

Inverse patchy colloids are nano- to micro-scale particles with a surface divided into differently charged regions. This class of colloids combines directional, selective bonding with a relatively simple particle design: owing to the…

Soft Condensed Matter · Physics 2021-01-22 Emanuela Bianchi , Peter D. J. van Oostrum , Christos N. Likos , Gerhard Kahl

Self-assembly in the laboratory can now yield `information-rich' nanostructures in which each component is of a distinct type and has a defined spatial position. Ensuring the thermodynamic stability of such structures requires…

Biological Physics · Physics 2016-03-22 Stephen Whitelam