Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions
DOI10.1007/s00332-023-10005-3arXiv2306.05151MaRDI QIDQ6185870
Lorenza D'Elia, Jonas Ingmanns, Elisa Davoli
Publication date: 30 January 2024
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.05151
Composite media; random media in optics and electromagnetic theory (78A48) PDEs with randomness, stochastic partial differential equations (35R60) Variational methods applied to problems in optics and electromagnetic theory (78M30) Homogenization in optics and electromagnetic theory (78M40) Maxwell equations (35Q61) Integro-partial differential equations (35R09)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic homogenisation of singularly perturbed integral functionals
- Nonlinear stochastic homogenization
- An introduction to \(\Gamma\)-convergence
- A two scale \(\Gamma \)-convergence approach for random non-convex homogenization
- Stability of axisymmetric chiral skyrmions
- Manifold constrained variational problems
- Stochastic homogenization of \(\Lambda\)-convex gradient flows
- Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics
- Stochastic homogenization of the Landau-Lifshitz-Gilbert equation
- Energy scaling law for a singularly perturbed four-gradient problem in helimagnetism
- Homogenization of chiral magnetic materials: a mathematical evidence of Dzyaloshinskii's predictions on helical structures
- Frustrated ferromagnetic spin chains: a variational approach to chirality transitions
- Homogenization of the demagnetization field operator in periodically perforated domains
- Skyrmions in magnetic multilayers
- Energies with respect to a measure and applications to low dimensional structures
- Homogenization of Thin Structures by Two-Scale Method with Respect to Measures
- Homogenization of variational problems in manifold valued Sobolev spaces
- Chirality transitions in frustrated S2-valued spin systems
- Existence and regularity for mixtures of micromagnetic materials
- Subadditive mean ergodic theorems
- Homogenization and Two-Scale Convergence
- A General Convergence Result for a Functional Related to the Theory of Homogenization
- Homogenized model for a laminar ferromagnetic medium
- On an extension of the method of two-scale convergence and its applications
- Stochastic Unfolding and Homogenization of Spring Network Models
- Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii–Moriya interaction
- Micromagnetics of thin films in the presence of Dzyaloshinskii–Moriya interaction
- Variational Analysis of a Two-Dimensional Frustrated Spin System: Emergence and Rigidity of Chirality Transitions
- Chiral skyrmions in the plane
- Homogenization of composite ferromagnetic materials
- Homogenization of micromagnetics large bodies
This page was built for publication: Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions
