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Point defects in self-assembled crystals, such as vacancies and interstitials, attract each other and form stable clusters. This leads to a phase separation between perfect crystalline structures and defect conglomerates at low…

Quantum Gases · Physics 2015-12-03 Wolfgang Lechner , Fabio Cinti , Guido Pupillo

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 propose a numerically efficient `adjoint' inverse design method to optimize a planar structure of dipole scatterers, to manipulate the radiation from an electric dipole emitter. Several examples are presented: modification of the…

Optics · Physics 2021-09-21 J. R. Capers , S. J. Boyes , A. P. Hibbins , S. A. R. Horsley

A key challenge towards the goal of multi-part assembly tasks is finding robust sensorimotor control methods in the presence of uncertainty. In contrast to previous works that rely on a priori knowledge on whether two parts match, we aim to…

Robotics · Computer Science 2021-05-12 Peter A. Zachares , Michelle A. Lee , Wenzhao Lian , Jeannette Bohg

We propose a novel method for the determination of the effective interaction potential between the amino acids of a protein. The strategy is based on the combination of a new optimization procedure and a geometrical argument, which also…

Soft Condensed Matter · Physics 2009-10-31 Jort van Mourik , Cecilia Clementi , Amos Maritan , Flavio Seno , J. R. Banavar

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 chemical self-assembly has been considered as one of most important scientific problems in the 21th Century; however, since the process of self-assembly is very complex, there is few mathematic theory for it currently. This paper…

Optimization and Control · Mathematics 2018-10-01 Zheng Ning , Ge Chen , Francesco Bullo

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…

The ability to control forces between sub-micron-scale building blocks offers considerable potential for designing new materials through self-assembly. A typical paradigm is to first identify a particular (crystal) structure that has some…

Soft Condensed Matter · Physics 2024-04-24 Mengjie Zu , Carl Goodrich

The simulated self-assembly of molecular building blocks into functional complexes is a key area of study in computational biology and materials science. Self-assembly simulations of proteins using physically-motivated potentials for…

Soft Condensed Matter · Physics 2025-09-03 Ivan Spirandelli , Arnur Nigmetov , Dmitriy Morozov , Myfanwy E. Evans

Molecular self-assembly on surfaces constitutes a powerful method for creating tailor-made surface structures with dedicated functionalities. Varying the intermolecular interactions allows for tuning the resulting molecular structures in a…

Mesoscale and Nanoscale Physics · Physics 2020-07-24 Christoph Schiel , Maximilian Vogtland , Ralf Bechstein , Angelika Kühnle , Philipp Maass

There is evidence that the self-assembly of complex molecular systems often proceeds hierarchically, by first building subunits that later assemble in larger entities, in a process that can repeat multiple times. Yet, our understanding of…

Soft Condensed Matter · Physics 2025-09-15 Miranda Holmes-Cerfon , Matthieu Wyart

The design space for a self-assembled multicomponent objects ranges from a solution in which every building block is unique to one with the minimum number of distinct building blocks that unambiguously define the target structure. Using a…

Soft Condensed Matter · Physics 2023-03-13 Joakim Bohlin , Andrew J. Turberfield , Ard A. Louis , Petr Šulc

An optimal control strategy is developed to construct nanostructures of desired geometry along line segments by means of directed self-assembly of charged particles. Such a control strategy determines the electric potentials of a set of…

Dynamical Systems · Mathematics 2016-03-02 Arash Komaee , Paul I. Barton

In living cells, proteins self-assemble into large functional structures based on specific interactions between molecularly complex patches. Due to this complexity, protein self-assembly results from a competition between a large number of…

Soft Condensed Matter · Physics 2024-12-10 Lara Koehler , Pierre Ronceray , Martin Lenz

We discuss the construction of optimized electronic filters using inverse scattering methods. We study a wide range of densities and temperatures, room temperature included. Discretization methods of the potential (including the…

Condensed Matter · Physics 2007-05-23 Luca Perotti , Daniel Bessis

One of the fundamental goals of nanotechnology is to exploit selective and directional interactions between molecules to design particles that self-assemble into desired structures, from capsids, to nano-clusters, to fully formed crystals…

Soft Condensed Matter · Physics 2020-09-16 Flavio Romano , John Russo , Lukáš Kroc , Petr Šulc

We introduce a direct Boltzmann inversion method to infer the interaction potential in particle systems using as input particle configurations generated at an arbitrary state point of the system. Unlike iterative Boltzmann inversion, the…

Statistical Mechanics · Physics 2026-05-25 Olivier Coquand , Davide Paolino , Ludovic Berthier

The process of self-assembly is guided by the minimization of free energy, which limits the symmetries available for assembly and ultimately the usefulness of devices fabricated in this fashion. Here, we demonstrate experimentally for the…

Field induced assembly of reconfigurable structures with complex hierarchical configurations has recently become an area of intense research with the promise for exciting applications in programmable self-assembly and nano/microstructure…

Soft Condensed Matter · Physics 2026-01-14 Indira Barros , Sayanth Ramachandran , Indrani Chakraborty