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Comment on Geometrical Control of Active Turbulence in Curved Topographies

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Publication:6324594

arXiv1909.01115MaRDI QIDQ6324594

Author name not available (Why is that?)

Publication date: 26 August 2019

Abstract: In the recent letter Pearce et. al. Phys. Rev. Lett. 122, 168002 (2019) the authors investigate the turbulent dynamics of a two-dimensional active nematic liquid crystal which is constrained to the surface of a torus. The underlying model combines an incompressible surface Navier-Stokes equation with friction and active forcing with a surface Landau-de Gennes model for nematic liquid crystals. To numerically solve the surface Navier-Stokes equation a vorticity-stream function approach is considered. This approach is not appropriate on surfaces that are not simply connected - such as the considered torus - due to non-trivial harmonic vector fields. We will explain the underlying situation and provide details and examples to rebut the argumentation in Pearce et. al. Phys. Rev. Lett. 122, 168002 (2019).












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