Asymptotic analysis of a ferromagnetic Ising system with ``diffuse interfacial energy

DOI10.1007/s10231-017-0693-9zbMath1388.49010OpenAlexW2532433914MaRDI QIDQ2413462

Andrea Braides, Andrea Causin, Margherita Solci

Publication date: 10 April 2018

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2108/211692

zbMATH Keywords

size effectsinterfacial energiesdiscrete-to-continuumIsing-type energies

Mathematics Subject Classification ID

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)

Related Items

Compactness by Coarse-Graining in long-range lattice systems, Γ-limit of the cut functional on dense graph sequences

Cites Work

• Unnamed Item
• Unnamed Item
• An example of non-existence of plane-like minimizers for an almost-periodic Ising system
• Interfaces, modulated phases and textures in lattice systems
• Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions
• Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint
• Asymptotic expansions by \(\Gamma \)-convergence
• Functionals defined on partitions in sets of finite perimeter. II: Semicontinuity, relaxation and homogenization
• Interfaces of ground states in Ising models with periodic coefficients
• Homogenization of surface and length energies for spin systems
• Local and Nonlocal Continuum Limits of Ising-Type Energies for Spin Systems
• INTERFACIAL ENERGIES ON PENROSE LATTICES
• Variational description of bulk energies for bounded and unbounded spin systems
• Interfacial energies on quasicrystals