On lattice hexagonal crystallization for non-monotone potentials

DOI10.1063/5.0200485zbMath1543.82018MaRDI QIDQ6582832

Publication date: 5 August 2024

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

Statistical mechanics of crystals (82D25) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

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From the Ginzburg-Landau model to vortex lattice problems
Mini-workshop: Mathematics of crystallisation. Abstracts from the mini-workshop held April 7--13, 2019
Minimal soft lattice theta functions
An application of the modular function in nonlocal variational problem
Systems of points with Coulomb interactions
Sur les fonctions absolument monotones.
Local optimality of cubic lattices for interaction energies
On minima of sum of theta functions and application to Mueller-Ho conjecture
Universal optimality of the \(E_8\) and Leech lattices and interpolation formulas
Effect of periodic arrays of defects on lattice energy minimizers
Optimal and non-optimal lattices for non-completely monotone interaction potentials
A fundamental region for Hecke's modular group
Two-Dimensional Theta Functions and Crystallization among Bravais Lattices
Minimal theta functions
Global order from local sources
Local variational study of 2d lattice energies and application to Lennard–Jones type interactions
Nonhexagonal Lattices From a Two Species Interacting System
Minimizing lattice structures for Morse potential energy in two and three dimensions
A lemma about the Epstein zeta-function
A Minimum Problem for the Epstein Zeta-Function
On energy ground states among crystal lattice structures with prescribed bonds
Optimality of the triangular lattice for Lennard–Jones type lattice energies: a computer-assisted method
Number Theory
On minima of difference of theta functions and application to hexagonal crystallization

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