Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions

DOI10.4171/RLM/754zbMath1373.35029MaRDI QIDQ524839

Andrea Braides, Leonard Kreutz

Publication date: 26 April 2017

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

spin systemsdiscrete-to-continuum limitsGamma convergencetwo-dimensional lattice

Mathematics Subject Classification ID

Bounds on effective properties in solid mechanics (74Q20) Composite and mixture properties (74E30) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Discrete version of topics in analysis (39A12) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (4)

Design of lattice surface energies ⋮ Asymptotic analysis of a ferromagnetic Ising system with ``diffuse interfacial energy ⋮ Crystallinity of the Homogenized Energy Density of Periodic Lattice Systems ⋮ Variational methods for the modelling of inelastic solids. Abstracts from the workshop held February 4--10, 2018

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