Solution landscape of the Onsager model identifies non-axisymmetric critical points
From MaRDI portal
Publication:2077846
DOI10.1016/j.physd.2021.133081OpenAlexW3213118245MaRDI QIDQ2077846
Jianyuan Yin, Pingwen Zhang, Lei Zhang
Publication date: 22 February 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.09766
Related Items (6)
Hierarchies of critical points of a Landau-de Gennes free energy on three-dimensional cuboids ⋮ Transition pathways in Cylinder-Gyroid interface ⋮ Convergence Analysis of Discrete High-Index Saddle Dynamics ⋮ Nematic Liquid Crystals in a Rectangular Confinement: Solution Landscape, and Bifurcation ⋮ Computing solution landscape of nonlinear space-fractional problems via fast approximation algorithm ⋮ Discretization and index-robust error analysis for constrained high-index saddle dynamics on the high-dimensional sphere
Uses Software
Cites Work
- Multiple branches of ordered states of polymer ensembles with the Onsager excluded volume potential
- Spherical harmonics and approximations on the unit sphere. An introduction
- Search extension method for multiple solutions of a nonlinear problem
- Liquid crystals and their defects
- Critical points and bifurcations of the three-dimensional Onsager model for liquid crystals
- A local minimax method using virtual geometric objects. II. For finding equality constrained saddles
- Searching the solution landscape by generalized high-index saddle dynamics
- Cavity volume and free energy in many-body systems
- A bootstrapping approach for computing multiple solutions of differential equations
- Stable dynamic states at the nematic liquid crystals in weak shear flow
- Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential
- Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method
- A Minimax Method for Finding Multiple Critical Points and Its Applications to Semilinear PDEs
- Morse Theory. (AM-51)
- Explicit Computation of Orthonormal Symmetrized Harmonics with Application to the Identity Representation of the Icosahedral Group
- Solution landscape of a reduced Landau–de Gennes model on a hexagon
- High-Index Optimization-Based Shrinking Dimer Method for Finding High-Index Saddle Points
- Characterization of stable kinetic equilibria of rigid, dipolar rod ensembles for coupled dipole–dipole and Maier–Saupe potentials
- An Iterative Minimization Formulation for Saddle Point Search
- Deflation Techniques for Finding Distinct Solutions of Nonlinear Partial Differential Equations
- Critical points of the Onsager functional on a sphere
- On the Symmetries of Spherical Harmonics
- Numerical methods for nonlocal and fractional models
- Modelling and computation of liquid crystals
This page was built for publication: Solution landscape of the Onsager model identifies non-axisymmetric critical points
