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One emerging approach for the fabrication of complex architectures on the nanoscale is to utilize particles customized to intrinsically self-assemble into a desired structure. Inverse methods of statistical mechanics have proven…

Materials Science · Physics 2017-09-08 R. B. Jadrich , B. A. Lindquist , T. M. Truskett

While colloids are promising building blocks for the self-assembly of materials with novel microstructures, their numerous tunable parameters inhibit brute force searching for appropriate parameter combinations that yield self-assembly of a…

Soft Condensed Matter · Physics 2020-03-13 Beth A Lindquist

Isotropic pairwise interactions that promote the self assembly of complex particle morphologies have been discovered by inverse design strategies derived from the molecular coarse-graining literature. While such approaches provide an avenue…

Statistical Mechanics · Physics 2019-10-15 Beth A. Lindquist , Ryan B. Jadrich , Michael P. Howard , Thomas M. Truskett

The synthesis of complex materials through the self-assembly of particles at the nanoscale provides opportunities for the realization of novel material properties. However, the inverse design process to create experimentally feasible…

Soft Condensed Matter · Physics 2022-03-01 Carl S. Adorf , James Antonaglia , Julia Dshemuchadse , Sharon C. Glotzer

Inverse methods of statistical mechanics have facilitated the discovery of pair potentials that stabilize a wide variety of targeted lattices at zero temperature. However, such methods are complicated by the need to compare, within the…

Statistical Mechanics · Physics 2016-09-19 Beth A. Lindquist , Ryan B. Jadrich , Thomas M. Truskett

Porous mesophases, where well-defined particle-depleted 'void' spaces are present within a particle-rich background fluid, can be self-assembled from colloidal particles interacting via isotropic pair interactions with competing attractions…

Soft Condensed Matter · Physics 2017-02-16 Beth A. Lindquist , Sayantan Dutta , Ryan B. Jadrich , Delia J. Milliron , Thomas M. Truskett

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

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

Colloidal self-assembly -- the spontaneous organization of colloids into ordered structures -- has been considered key to produce next-generation materials. However, the present-day staggering variety of colloidal building blocks and the…

Soft Condensed Matter · Physics 2021-06-29 Gabriele Maria Coli , Emanuele Boattini , Laura Filion , Marjolein Dijkstra

We use inverse methods of statistical mechanics to explore trade-offs associated with designing interactions to stabilize self-assembled structures against changes in density or temperature. Specifically, we find isotropic,convex-repulsive…

Soft Condensed Matter · Physics 2018-01-10 William D. Piñeros , Michael Baldea , Thomas M. Truskett

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

Knowledge of exact analytical functional forms for the pair correlation function $g_2(r)$ and its corresponding structure factor $S(k)$ of disordered many-particle systems is limited. For fundamental and practical reasons, it is highly…

Soft Condensed Matter · Physics 2024-01-02 Haina Wang , Salvatore Torquato

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

Functional soft materials, comprising colloidal and molecular building blocks that self-organize into complex structures as a result of their tunable interactions, enable a wide array of technological applications. Inverse methods provide…

Soft Condensed Matter · Physics 2020-04-13 Zachary M. Sherman , Michael P. Howard , Beth A. Lindquist , Ryan B. Jadrich , Thomas M. Truskett

Inverse design can be a useful strategy for discovering interactions that drive particles to spontaneously self-assemble into a desired structure. Here, we extend an inverse design methodology--relative entropy optimization--to determine…

Soft Condensed Matter · Physics 2018-03-16 William D. Piñeros , Beth A. Lindquist , Ryan B. Jadrich , Thomas M. Truskett

Inverse design of slender elastic structures underlies a wide range of applications in computer graphics, flexible electronics, biomedical devices, and soft robotics. Traditional optimization-based approaches, however, are often orders of…

Graphics · Computer Science 2025-12-09 Jiahao Li , Mingchao Liu , Haiyi Liang , HengAn Wu , Weicheng Huang

We investigate a set of design principles that link specific features of interparticle interactions to predictable structural and dynamic outcomes in two-dimensional self-assembly, a framework relevant to soft matter and biological…

Soft Condensed Matter · Physics 2026-01-06 Cecilia Bores , Antonio Diaz-Pozuelo , Enrique Lomba

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

We propose an optimisation method for the inverse structural design of self-assembly of anisotropic patchy particles. The anisotropic interaction can be expressed by the spherical harmonics of the surface pattern on a patchy particle, and…

Soft Condensed Matter · Physics 2025-02-21 Uyen Tu Lieu , Natsuhiko Yoshinaga

In simple colloidal suspensions, clusters are various multimers that result from colloid self-association and exist in equilibrium with monomers.There are two types of potentials that are known to produce clusters: a) potentials that result…

Soft Condensed Matter · Physics 2016-03-08 A. Baumketner , W. Cai
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