Variational analysis of the \(J_1-J_2-J_3\) model: a non-linear lattice version of the Aviles-Giga functional
DOI10.1007/s00205-022-01800-5zbMath1494.82005arXiv2110.10047OpenAlexW3205285554MaRDI QIDQ2154995
Marco Cicalese, Marwin Forster, Gianluca Orlando
Publication date: 15 July 2022
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.10047
Asymptotic behavior of solutions to PDEs (35B40) Methods involving semicontinuity and convergence; relaxation (49J45) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)
Related Items (1)
Cites Work
- Periodic striped ground states in Ising models with competing interactions
- Formation of stripes and slabs near the ferromagnetic transition
- Two-dimensional unit-length vector fields of vanishing divergence
- Interfaces, modulated phases and textures in lattice systems
- Defects in nematic shells: a \(\Gamma\)-convergence discrete-to-continuum approach
- Metastability and dynamics of discrete topological singularities in two dimensions: a \(\Gamma\)-convergence approach
- Rigidity of a non-elliptic differential inclusion related to the Aviles-giga conjecture
- Variational analysis of the asymptotics of the \(XY\) model
- Vortices in the magnetic Ginzburg-Landau model
- Upper bounds for singular perturbation problems involving gradient fields
- Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint
- Sharp upper bounds for a variational problem with singular perturbation
- A general technique to prove upper bounds for singular perturbation problems
- The morphology and folding patterns of buckling-driven thin-film blisters
- Structure of entropy solutions to the eikonal equation
- Singular perturbation and the energy of folds
- Regularity of the Eikonal equation with two vanishing entropies
- Exact periodic stripes for minimizers of a local/nonlocal interaction functional in general dimension
- Line energies for gradient vector fields in the plane
- The antiferromagnetic \(XY\) model on the triangular lattice: chirality transitions at the surface scaling
- On the structure of weak solutions to scalar conservation laws with finite entropy production
- Characterization of minimizers of Aviles-Giga functionals in special domains
- The rectifiability of the entropy defect measure for Burgers equation
- Coarse graining and large-\(N\) behavior of the \(d\)-dimensional \(N\)-clock model
- Frustrated ferromagnetic spin chains: a variational approach to chirality transitions
- Rectifiability of entropy defect measures in a micromagnetics model
- Limiting domain wall energy for a problem related to micromagnetics
- A compactness result in the gradient theory of phase transitions
- Variational equivalence between Ginzburg-Landau, XY spin systems and screw dislocations energies
- A Regularizing Property of the 2D-Eikonal Equation
- On lower semicontinuity of a defect energy obtained by a singular limit of the Ginzburg–Landau type energy for gradient fields
- Compactness in Ginzburg-Landau energy by kinetic averaging
- Compactness, Kinetic Formulation, and Entropies for a Problem Related to Micromagnetics
- Variational Analysis of a Two-Dimensional Frustrated Spin System: Emergence and Rigidity of Chirality Transitions
- Optimal Besov Differentiability for Entropy Solutions of the Eikonal Equation
- Elastic Energy Stored in a Crystal Induced by Screw Dislocations: From Discrete to Continuous
- Ginzburg-Landau vortices
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Variational analysis of the \(J_1-J_2-J_3\) model: a non-linear lattice version of the Aviles-Giga functional
