@Article{CiCP-7-2,
author = {},
title = {A Nonhomogeneous Kinetic Model of Liquid Crystal Polymers and Its Thermodynamic Closure Approximation},
journal = {Communications in Computational Physics},
year = {2010},
volume = {7},
number = {2},
pages = {383--402},
abstract = {<p style="text-align: justify;">A general nonhomogeneous extension of the Doi&#39;s kinetic theory with translational
diffusion and nonlocal potential is proposed to describe the microstructures
and defect dynamics of Liquid Crystal Polymer (LCP) solutions. The long-range elasticity
of polymer molecules is depicted by a kernel type potential, from which one
can derive the well-known Marrucci-Greco potential with weak spatial distortion assumption.
Applying quasi-equilibrium closure approximation, we get a second-order
moment model for isotropic long-range elasticity, and this reduced moment model
maintains the energy dissipation. Implemented by the invariant-based fitting method,
the moment model is a decent tool for numerical simulations of defect dynamics and
texture evolution in LCP solutions. The numerical results of in-plane rotational case
show that the reduced second-order moment model qualitatively predicts complicated
nonhomogeneous director dynamics under moderate nematic potential strength, and
the translational diffusion plays an important role in defect dynamics.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.2009.09.202},
url = {https://global-sci.com/article/80985/a-nonhomogeneous-kinetic-model-of-liquid-crystal-polymers-and-its-thermodynamic-closure-approximation}
}