Evolution of local motifs and topological proximity in self-assembled quasi-crystalline phases
DOI10.1098/rspa.2020.0170zbMath1472.82045OpenAlexW3081566392WikidataQ100725913 ScholiaQ100725913MaRDI QIDQ5161069
Jacob J. K. Kirkensgaard, Martin Cramer Pedersen, Kell Mortensen, Vanessa Robins
Publication date: 29 October 2021
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.2020.0170
topologymolecular dynamicsmaterials scienceself-assemblypersistent homologyapplied mathematicsquasi-crystalsolid-state physics
Persistent homology and applications, topological data analysis (55N31) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Computational molecular dynamics in statistical mechanics (82M37)
Cites Work
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- General purpose molecular dynamics simulations fully implemented on graphics processing units
- On the use of size functions for shape analysis
- Computing persistent homology
- Topological persistence and simplification
- The union of balls and its dual shape
- Principal component analysis of persistent homology rank functions with case studies of spatial point patterns, sphere packing and colloids
- Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis
- Quantifying force networks in particulate systems
- Localized Hexagon Patterns of the Planar Swift–Hohenberg Equation
- On the shape of a set of points in the plane
- Three-dimensional alpha shapes
- Volume-Optimal Cycle: Tightest Representative Cycle of a Generator in Persistent Homology
- The Multi-cover Persistence of Euclidean Balls
- Prescribing a System of Random Variables by Conditional Distributions
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