Discrete spin systems on random lattices at the bulk scaling
DOI10.3934/dcdss.2017006zbMath1355.49008OpenAlexW2566187492MaRDI QIDQ501558
Publication date: 9 January 2017
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2017006
continuum limitcalculus of variationsstochastic homogenization\(\Gamma\)-convergencerandom latticesdiscrete spin systems
Methods involving semicontinuity and convergence; relaxation (49J45) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Variational principles of physics (49S05) Existence of optimal solutions to problems involving randomness (49J55)
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Cites Work
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- Domain formation in magnetic polymer composites: an approach via stochastic homogenization
- Interfaces, modulated phases and textures in lattice systems
- Integral representation results for energies defined on stochastic lattices and application to nonlinear elasticity
- Continuum limits of discrete thin films with superlinear growth densities
- Asymptotic expansions by \(\Gamma \)-convergence
- Integral functionals determined by their minima
- Frustrated ferromagnetic spin chains: a variational approach to chirality transitions
- Local and Nonlocal Continuum Limits of Ising-Type Energies for Spin Systems
- Chirality transitions in frustrated S2-valued spin systems
- Variational description of bulk energies for bounded and unbounded spin systems
- Ergodic theorems for superadditive processes.
- A General Integral Representation Result for Continuum Limits of Discrete Energies with Superlinear Growth
- $Q$-Tensor Continuum Energies as Limits of Head-to-Tail Symmetric Spin Systems
- Convex Functions on Convex Polytopes
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