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Construction of a Pathway Map on a Complicated Energy Landscape.
- Jianyuan Yin, Yiwei Wang, Jeff Z. Y. Chen, Pingwen Zhang, Lei Zhang
- PhysicsPhysical review letters
- 29 September 2019
A general numerical method is introduced that constructs the pathway map, which guides the understanding of how a physical system moves on the energy landscape.
Topological defects in an unconfined nematic fluid induced by single and double spherical colloidal particles.
We present numerical solutions to the Landau-de Gennes free-energy model under the one-constant approximation for systems of single and double spherical colloidal particles immersed in an otherwise…
A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance
Field theory of reaction-diffusion: Law of mass action with an energetic variational approach.
The energetic variational approach is extended so it can be applied to a chemical reaction system with general mass action kinetics and it is shown by numerical simulations that the input-output relation of such a system depends on the choice of the dissipation.
Order Reconstruction for Nematics on Squares with Isotropic Inclusions: A Landau-De Gennes Study
It is proved that the well order reconstruction solution (WORS) type Landau-de Gennes critical point on a square domain with an isotropic concentric square inclusion is globally stable for either $\lambda$ small enough or for $\rho$ sufficiently close to unity.
On Lagrangian schemes for porous medium type generalized diffusion equations: A discrete energetic variational approach
A Variational Lagrangian Scheme for a Phase Field Model: A Discrete Energetic Variational Approach
A variational Lagrangian scheme for a modified phase-field model, which can compute the equilibrium states for the original Allen-Cahn type model and preserves the variational structure of the original energy-dissipation law.
Dynamic tuning of the director field in liquid crystal shells using block copolymers
- JungHyun Noh, Yiwei Wang, Hsin-Ling Liang, V. S. R. Jampani, A. Majumdar, J. Lagerwall
- Materials SciencePhysical Review Research
- 1 June 2020
When a nematic liquid crystal (LC) is confined on a self-closing spherical shell, topological constraints arise with intriguing consequences that depend critically on how the LC is aligned in the…
A two species micro-macro model of wormlike micellar solutions and its maximum entropy closure approximations: An energetic variational approach