A Tensor Model for Nematic Phases of Bent-Core Molecules Based on Molecular Theory

DOI10.1137/16M1099789zbMath1401.76025arXiv1408.3722OpenAlexW2964284688MaRDI QIDQ4689164

Fangfu Ye, Jie Xu, Pingwen Zhang

Publication date: 15 October 2018

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.3722

zbMATH Keywords

molecular theoryliquid crystalsbent-core moleculestensor modelmodulated nematic phasestwist-bend phase

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15)

Related Items (7)

Modelling and computation of liquid crystals ⋮ Quasi-entropy by log-determinant covariance matrix and application to liquid crystals ⋮ Tetrahedral frame fields via constrained third-order symmetric tensors ⋮ Rigorous biaxial limit of a molecular-theory-based two-tensor hydrodynamics ⋮ Frame Hydrodynamics of Biaxial Nematics from Molecular-Theory-Based Tensor Models ⋮ Classifying Local Anisotropy Formed by Rigid Molecules: Symmetries and Tensors ⋮ \(Q\)-tensor gradient flow with quasi-entropy and discretizations preserving physical constraints

Cites Work

• From microscopic theory to macroscopic theory -- symmetries and order parameters of rigid molecules
• The transmission of symmetry in liquid crystals
• An antipodally symmetric distribution on the sphere
• From microscopic theory to macroscopic theory: a systematic study on modeling for liquid crystals

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