Minimization of energy per particle among Bravais lattices in ℝ2: Lennard–Jones and Thomas–Fermi cases

DOI10.1142/S0219199714500497zbMath1329.82019arXiv1402.2751OpenAlexW2963815608MaRDI QIDQ3465799

Peng Zhang, Laurent Bétermin

Publication date: 22 January 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2751

zbMATH Keywords

theta functionsThomas-Fermi modeltriangular latticeBessel functionLennard-Jones potentialcrystallizationlattice energy

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (18)

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