Equilibrium configurations for generalized Frenkel-Kontorova models on quasicrystals

DOI10.1007/s00220-019-03557-7zbMath1433.35401arXiv1703.04811OpenAlexW2971250779WikidataQ127306710 ScholiaQ127306710MaRDI QIDQ2326889

Rodrigo Treviño

Publication date: 10 October 2019

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

Full work available at URL: https://arxiv.org/abs/1703.04811

zbMATH Keywords

quasicrystalsFrenkel-Kontorova model

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Variational methods applied to PDEs (35A15) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Statistical mechanics of solids (82D20) PDEs in connection with statistical mechanics (35Q82)

Related Items (2)

On the existence of solutions for the Frenkel-Kontorova models on quasi-crystals ⋮ A quantitative rigidity result for a two-dimensional Frenkel-Kontorova model

Cites Work

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• The anti-integrable limit
• Spectral theory and x-ray diffraction
• Linearly Repetitive Delone Sets
• Ground states and critical points for Aubry-Mather theory in Statistical mechanics

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