Measures of order for nearly hexagonal lattices

DOI10.1016/j.physd.2018.05.005zbMath1415.52010OpenAlexW2806845228MaRDI QIDQ2000285

R. Mark Bradley, Daniel A. Pearson, Rachel Neville, Patrick D. Shipman, Francis C. Motta

Publication date: 28 June 2019

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2018.05.005

zbMATH Keywords

pattern formationnanostructurespersistent homology

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Simplicial sets and complexes in algebraic topology (55U10) Other homology theories in algebraic topology (55N35) Statistical mechanics of nanostructures and nanoparticles (82D80)

Uses Software

• Dionysus
• GitHub
• Ripser
• phom
• TDATools

Cites Work

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• Exponential time differencing for stiff systems
• Analysis of Kolmogorov flow and Rayleigh-Bénard convection using persistent homology
• Quantifying force networks in particulate systems
• Pattern Formation and Dynamics in Nonequilibrium Systems
• Topology and data
• The interfacial stability of a ferromagnetic fluid

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