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Volume 31, Issue 3
Active Nematodynamics on Curved Surfaces – The Influence of Geometric Forces on Motion Patterns of Topological Defects

Michael Nestler & Axel Voigt

DOI: 10.4208/cicp.OA-2021-0206

Commun. Comput. Phys., 31 (2022), pp. 947-965.

Published online: 2022-03

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  • Abstract

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.

  • Keywords

Topological active matter, defect dynamics, hydrodynamic coupling, surface finite elements.

  • AMS Subject Headings

76Zxx, 92C05, 35Qxx

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-31-947, author = {Nestler , Michael and Voigt , Axel}, title = {Active Nematodynamics on Curved Surfaces – The Influence of Geometric Forces on Motion Patterns of Topological Defects}, journal = {Communications in Computational Physics}, year = {2022}, volume = {31}, number = {3}, pages = {947--965}, abstract = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2021-0206}, url = {http://global-sci.org/intro/article_detail/cicp/20304.html} }
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 -

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.

Nestler , Michael and Voigt , Axel. (2022). Active Nematodynamics on Curved Surfaces – The Influence of Geometric Forces on Motion Patterns of Topological Defects. Communications in Computational Physics. 31 (3). 947-965. doi:10.4208/cicp.OA-2021-0206
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