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Related papers: Designing isotropic interactions for self-assembly…

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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

Building on a recently introduced inverse strategy, isotropic and convex repulsive pair potentials were designed that favor assembly of particles into kagome and equilateral snub square lattices. The former interactions were obtained by…

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

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 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

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

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

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

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

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

Using ground-state and relative-entropy based inverse design strategies, isotropic interactions with an attractive well are determined to stabilize and promote as- sembly of particles into two-dimensional square, honeycomb, and kagome…

Soft Condensed Matter · Physics 2018-01-10 William D. Piñeros , Ryan B. Jadrich , Thomas M. Truskett

We present a method that systematically simplifies isotropic interactions designed for targeted self-assembly. The uncertainty principle is used to show that an optimal simplification is achieved by a combination of heat kernel smoothing…

Soft Condensed Matter · Physics 2013-12-19 Erik Edlund , Oskar Lindgren , Martin Nilsson Jacobi

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

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

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

Using inverse statistical-mechanical optimization techniques, we have discovered isotropic pair interaction potentials with strongly repulsive cores that cause the tetrahedrally coordinated diamond and wurtzite lattices to stabilize, as…

Soft Condensed Matter · Physics 2007-09-25 Mikael C. Rechtsman , Frank H. Stillinger , Salvatore Torquato

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 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

Sophisticated statistical mechanics approaches and human intuition have demonstrated the possibility to self-assemble complex lattices or finite size constructs, but have mostly only been successful in silico. The proposed strategies quite…

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