Formation of stripes and slabs near the ferromagnetic transition
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Publication:398748
DOI10.1007/s00220-014-1923-2zbMath1302.82018arXiv1304.6344OpenAlexW3101102234MaRDI QIDQ398748
Elliott H. Lieb, Robert Seiringer, Alessandro Giuliani
Publication date: 15 August 2014
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.6344
Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)
Related Items (9)
Periodic striped ground states in Ising models with competing interactions ⋮ Variational analysis of the \(J_1-J_2-J_3\) model: a non-linear lattice version of the Aviles-Giga functional ⋮ On the optimality of stripes in a variational model with non-local interactions ⋮ Crystallinity of the Homogenized Energy Density of Periodic Lattice Systems ⋮ Crystalline motion of interfaces between patterns ⋮ Exact periodic stripes for minimizers of a local/nonlocal interaction functional in general dimension ⋮ Local and Nonlocal Continuum Limits of Ising-Type Energies for Spin Systems ⋮ Striped patterns for generalized antiferromagnetic functionals with power law kernels of exponent smaller than \(d + 2\) ⋮ One-dimensionality of the minimizers for a diffuse interface generalized antiferromagnetic model in general dimension
Cites Work
- Froth-like minimizers of a non-local free energy functional with competing interactions
- Renormalization of cellular automata and self-similarity
- Striped periodic minimizers of a two-dimensional model for martensitic phase transitions
- Periodic minimizers in 1D local mean field theory
- On the absence of ferromagnetism in typical 2D ferromagnets
- Transport in two dimensional electronic micro-emulsions
- Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality
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