2016/08/31 by Gregory M. Grason · 1 citation
Physics and Astronomy · #cond-mat.soft #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.1063/1.4962629
published as Journal of Chemical Physics 145, 110901 (2016) · 19 pages, 10 figures; revised version with corrected typos and references
arxiv created 2016/09/18 · arxiv updated 2016/09/20
This perspective will overview an emerging paradigm for self-organized soft materials, \it geometrically-frustrated assemblies, where interactions between self-assembling elements (e.g. particles, macromolecules, proteins) favor local packing motifs that are incompatible with uniform global order in the assembly. This classification applies to a broad range of material assemblies including self-twisting protein filament bundles, amyloid fibers, chiral smectics and membranes, particle-coated droplets, curved protein shells and phase-separated lipid vesicles. In assemblies, geometric frustration leads to a host of anomalous structural and thermodynamic properties, including heterogeneous and internally-stressed equilibrium structures, self-limiting assembly and topological defects in the equilibrium assembly structures. The purpose of this perspective is to 1) highlight the unifying principles and consequences of geometric frustration in soft matter assemblies, 2) to classify the known distinct "modes" of frustration and review corresponding experimental examples, and 3) to describe outstanding questions not yet addressed about the unique properties and behaviors of this broad class of systems.