Vectorial crystallization problems and collective behavior

DOI10.1007/s00285-021-01704-0zbMath1483.74004arXiv2008.03605OpenAlexW3048112924WikidataQ113905419 ScholiaQ113905419MaRDI QIDQ2067658

Lucia De Luca, A. Ninno, Marcello Ponsiglione

Publication date: 18 January 2022

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.03605

zbMATH Keywords

graph theoryvariational methodcollective animal behavioranisotropic molecular crystallization

Mathematics Subject Classification ID

Applications of graph theory (05C90) Crystalline structure (74E15) Phase transformations in solids (74N99) Genetics and population dynamics (92D99) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Related Items

Some recent results on 2D crystallization for sticky disc models and generalizations for systems of oriented particles

Uses Software

• Boids

Cites Work

• Unnamed Item
• A proof of crystallization in two dimensions
• Existence theory for a new class of variational problems
• Crystallization in two dimensions and a discrete Gauss-Bonnet theorem
• Crystallization in carbon nanostructures
• Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy
• Crystallization to the square lattice for a two-body potential
• \(\mathit\Gamma\)-convergence of the Heitmann-Radin sticky disc energy to the crystalline perimeter
• Classification of particle numbers with unique Heitmann-Radin minimizer
• Minimizing atomic configurations of short range pair potentials in two dimensions: crystallization in the Wulff shape
• Polygons Have Ears
• Attractive Riesz potentials acting on hard spheres
• Emergent Behavior in Flocks
• Finite crystallization in the square lattice

This page was built for publication: Vectorial crystallization problems and collective behavior