Oseen–Frank-type theories of ordered media as the Γ-limit of a non-local mean-field free energy
From MaRDI portal
Publication:4569638
DOI10.1142/S0218202518500161zbMath1393.49008arXiv1703.06863MaRDI QIDQ4569638
Publication date: 27 June 2018
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.06863
Methods involving semicontinuity and convergence; relaxation (49J45) Liquid crystals (76A15) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Variational principles of physics (49S05) Periodic optimal control problems (49N20)
Related Items
Modelling and computation of liquid crystals, Effective surface energies in nematic liquid crystals as homogenized rugosity effects, Hölder regularity and convergence for a non-local model of nematic liquid crystals in the large-domain limit, Γ-convergence of a mean-field model of a chiral doped nematic liquid crystal to the Oseen–Frank description of cholesterics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Maximum entropy methods as the bridge between microscopic and macroscopic theory
- Local minimization, variational evolution and \(\Gamma\)-convergence
- More is the same; phase transitions and mean field theories
- Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
- Refined approximation for minimizers of a Landau-de Gennes energy functional
- From microscopic theory to macroscopic theory: a systematic study on modeling for liquid crystals
- On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors
- STRAIN-ORDER COUPLING IN NEMATIC ELASTOMERS: EQUILIBRIUM CONFIGURATIONS
- Compactness Criteria for Integral Operators in L ∞ and L 1 Spaces
- Beitrag zur Theorie des Ferromagnetismus
- Critical points of the Onsager functional on a sphere
- Ginzburg-Landau vortices
