Equilibrium mechanisms of self-limiting assembly

MF Hagan, GM Grason - Reviews of modern physics, 2021 - APS
Self-assembly is a ubiquitous process in synthetic and biological systems, broadly defined
as the spontaneous organization of multiple subunits (macromolecules, particles, etc.) into …

Director deformations, geometric frustration, and modulated phases in liquid crystals

JV Selinger - Annual Review of Condensed Matter Physics, 2022 - annualreviews.org
This article analyzes modulated phases in liquid crystals, from the long-established
cholesteric and blue phases to the recently discovered twist-bend, splay-bend, and splay …

Interpretation of saddle-splay and the Oseen-Frank free energy in liquid crystals

JV Selinger - Liquid Crystals Reviews, 2018 - Taylor & Francis
This article re-examines a classic question in liquid-crystal physics: What are the elastic
modes of a nematic liquid crystal? The analysis uses a recent mathematical construction …

Nanocrystal Assemblies: Current Advances and Open Problems

CL Bassani, G Van Anders, U Banin, D Baranov… - ACS …, 2024 - ACS Publications
We explore the potential of nanocrystals (a term used equivalently to nanoparticles) as
building blocks for nanomaterials, and the current advances and open challenges for …

Why are some crystals straight?

C Li, AG Shtukenberg, L Vogt-Maranto… - The Journal of …, 2020 - ACS Publications
More than one-quarter of molecular crystals that are able to be melted can be made to grow
in the form of twisted lamellae or fibers. The mechanisms leading to such unusual crystal …

Curved geometries from planar director fields: Solving the two-dimensional inverse problem

I Griniasty, H Aharoni, E Efrati - Physical review letters, 2019 - APS
Thin nematic elastomers, composite hydrogels, and plant tissues are among many systems
that display uniform anisotropic deformation upon external actuation. In these materials, the …

Cumulative geometric frustration in physical assemblies

S Meiri, E Efrati - Physical Review E, 2021 - APS
Geometric frustration arises whenever the constituents of a physical assembly locally favor
an arrangement that cannot be realized globally. Recently, such frustrated assemblies were …

Uniform distortions and generalized elasticity of liquid crystals

EG Virga - Physical Review E, 2019 - APS
Ordinary nematic liquid crystals are characterized by having a uniform director field as
ground state. In such a state, the director is the same everywhere and no distortion is to be …

[HTML][HTML] Defective nematogenesis: Gauss curvature in programmable shape-responsive sheets with topological defects

D Duffy, JS Biggins - Soft Matter, 2020 - pubs.rsc.org
Flat sheets encoded with patterns of contraction/elongation morph into curved surfaces. If
the surfaces bear Gauss curvature, the resulting actuation can be strong and powerful. We …

Dispersed, Condensed, and Self-Limiting States of Geometrically Frustrated Assembly

NW Hackney, C Amey, GM Grason - Physical Review X, 2023 - APS
In self-assembling systems, geometric frustration leads to complex states characterized by
internal gradients of shape misfit. Frustrated assemblies have drawn recent interest due to …