Frame hydrodynamics of biaxial nematics from molecular-theory-based tensor models
Soft Condensed Matter
2022-07-01 v2 Analysis of PDEs
Fluid Dynamics
Abstract
Starting from a dynamic tensor model about two second-order tensors, we derive the frame hydrodynamics for the biaxial nematic phase using the Hilbert expansion. The coefficients in the frame model are derived from those in the tensor model. The energy dissipation of the tensor model is maintained in the frame model. The model is reduced to the Ericksen--Leslie model if the biaxial bulk energy minimum of the tensor model is reduced to a uniaxial one.
Keywords
Cite
@article{arxiv.2110.12137,
title = {Frame hydrodynamics of biaxial nematics from molecular-theory-based tensor models},
author = {Sirui Li and Jie Xu},
journal= {arXiv preprint arXiv:2110.12137},
year = {2022}
}
Comments
63 pages