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cond-mat.soft2026
From molecular model to tensor model of nematic liquid crystals through entropy decomposition
Baoming Shi, Dawei Wu, Lei Zhang +1
In the mathematical modeling of nematic liquid crystals, a practical and physically reliable -tensor model can be derived from Onsager's molecular model with the Bingha…
cond-mat.soft2024
Neural Network-Based Tensor Model for Nematic Liquid Crystals with Accurate Microscopic Information
Baoming Shi, Apala Majumdar, Lei Zhang
The phenomenological Landau-de Gennes (LdG) model is a powerful continuum theory to describe the macroscopic state of nematic liquid crystals. However, it is invariably less accura…
cond-mat.soft2024
A Modified Landau-de Gennes Theory for Smectic Liquid Crystals: Phase Transitions and Structural Transitions
Baoming Shi, Yucen Han, Chengdi Ma +2
We mathematically model Smectic-A (SmA) phases with a modified Landau-de Gennes (mLdG) model. The orientational order of the SmA phase is described by a tensor-order parameter $\ma…