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We apply inverse statistical-mechanical methods to find a simple family of optimized isotropic, monotonic pair potentials, under certain constraints, whose ground states for a wide range of pressures is the diamond crystal. These…

Soft Condensed Matter · Physics 2015-06-12 Etienne Marcotte , Frank H. Stillinger , Salvatore Torquato

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

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

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

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

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

Inverse statistical-mechanical methods have recently been employed to design optimized short-ranged radial (isotropic) pair potentials that robustly produce novel targeted classical ground-state many-particle configurations. The target…

Statistical Mechanics · Physics 2014-03-06 G. Zhang , F. H. Stillinger , S. Torquato

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

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

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

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 use molecular simulation to construct equilibrium phase diagrams for two recently introduced model materials with isotropic, soft-repulsive pair interactions designed to favor diamond and simple cubic lattice ground states, respectively,…

Materials Science · Physics 2013-10-15 Avni Jain , Jeffrey R. Errington , Thomas 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

We have previously used inverse statistical-mechanical methods to optimize isotropic pair interactions with multiple extrema to yield low-coordinated crystal classical ground states (e.g., honeycomb and diamond structures) in d-dimensional…

Statistical Mechanics · Physics 2010-11-13 Etienne Marcotte , Frank H. Stillinger , Salvatore Torquato

We use inverse methods of statistical mechanics and computer simulations to investigate whether an isotropic interaction designed to stabilize a given two-dimensional (2D) lattice will also favor an analogous three-dimensional (3D)…

Materials Science · Physics 2014-09-15 Avni Jain , Jeffrey R. Errington , 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

Magnonic crystals (MCs) are emerging spintronic metamaterials capable of manipulating transmission properties of magnons, the quanta of spin waves. Due to the complex relationship between lattice geometry and magnonic band dispersion, it…

Materials Science · Physics 2026-03-06 Ryunosuke Nagaoka , Takahiro Yamazaki , Chiharu Mitsumata , Yuma Iwasaki , Masato Kotsugi

Using a recently introduced formulation of the ground-state inverse design problem for a targeted lattice [Pi\~neros et al., J. Chem. Phys. 144} 084502 (2016)], we discover purely repulsive and isotropic pair interactions that stabilize…

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

Positioned between crystalline solids and liquids, disordered many-particle systems which are stealthy and hyperuniform represent new states of matter that are endowed with novel physical and thermodynamic properties. Such stealthy and…

Statistical Mechanics · Physics 2016-02-10 Eli Chertkov , Robert A. DiStasio , Ge Zhang , Roberto Car , Salvatore Torquato

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
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