Design of lattice surface energies

DOI10.1007/s00526-018-1368-0zbMath1397.35014OpenAlexW2807809673MaRDI QIDQ1656482

Andrea Braides, Leonard Kreutz

Publication date: 10 August 2018

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2108/211684

zbMATH Keywords

localization principleoptimal microgeometriesmixtures of ferromagnetic interactions

Mathematics Subject Classification ID

Bounds on effective properties in solid mechanics (74Q20) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (7)

The \(N\)-clock model: variational analysis for fast and slow divergence rates of \(N\) ⋮ A compactness theorem for functions on Poisson point clouds ⋮ Crystallinity of the Homogenized Energy Density of Periodic Lattice Systems ⋮ Quantitative analysis of finite-difference approximations of free-discontinuity problems ⋮ Coarse graining and large-\(N\) behavior of the \(d\)-dimensional \(N\)-clock model ⋮ Variational Analysis of a Two-Dimensional Frustrated Spin System: Emergence and Rigidity of Chirality Transitions ⋮ The antiferromagnetic \(XY\) model on the triangular lattice: chirality transitions at the surface scaling

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