TY - JOUR
T1 - Active Nematodynamics on Curved Surfaces – The Influence of Geometric Forces on Motion Patterns of Topological Defects
AU - Nestler , Michael
AU - Voigt , Axel
JO - Communications in Computational Physics
VL - 3
SP - 947
EP - 965
PY - 2022
DA - 2022/03
SN - 31
DO - http://doi.org/10.4208/cicp.OA-2021-0206
UR - https://global-sci.org/intro/article_detail/cicp/20304.html
KW - Topological active matter, defect dynamics, hydrodynamic coupling, surface finite elements.
AB - <p style="text-align: justify;">We derive and numerically solve a surface active nematodynamics model.
We validate the numerical approach on a sphere and analyse the influence of hydrodynamics on the oscillatory motion of topological defects. For ellipsoidal surfaces the
influence of geometric forces on these motion patterns is addressed by taking into account the effects of intrinsic as well as extrinsic curvature contributions. The numerical
experiments demonstrate the stronger coupling with geometric properties if extrinsic
curvature contributions are present and provide a possibility to tune flow and defect
motion by surface properties.</p>