408 citations · 2.5k across the 26 of their papers we have counts for
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Inverse Optimization Techniques for Targeted Self-Assembly
Salvatore Torquato
This article reviews recent inverse statistical-mechanical methodologies that we have devised to optimize interaction potentials in soft matter systems that correspond to stable "t…
Dense Packings of Superdisks and the Role of Symmetry
Y. Jiao, F. H. Stillinger, S. Torquato
We construct the densest known two-dimensional packings of superdisks in the plane whose shapes are defined by |x^(2p) + y^(2p)| <= 1, which contains both convex-shaped particles (…
Synthetic Diamond and Wurtzite Structures Self-Assemble with Isotropic Pair Interactions
Mikael C. Rechtsman, Frank H. Stillinger, Salvatore Torquato
Using inverse statistical-mechanical optimization techniques, we have discovered isotropic pair interaction potentials with strongly repulsive cores that cause the tetrahedrally co…
Self-assembly of the simple cubic lattice with an isotropic potential
Mikael C. Rechtsman, Frank H. Stillinger, Salvatore Torquato
Conventional wisdom presumes that low-coordinated crystal ground states require directional interactions. Using our recently introduced optimization procedure to achieve self-assem…
Designed Interaction Potentials via Inverse Methods for Self-Assembly
Mikael C. Rechtsman, Salvatore Torquato, Frank H. Stillinger
We formulate statistical-mechanical inverse methods in order to determine optimized interparticle interactions that spontaneously produce target many-particle configurations. Motiv…
Optimized Interactions for Targeted Self-Assembly: Application to Honeycomb Lattice
Mikael Rechtsman, Frank Stillinger, Salvatore Torquato
We devise an inverse statistical-mechanical methodology to find optimized interaction potentials that lead spontaneously to a target many-particle configuration. Target structures…