Anomalous Chained Turbulence in Actively Driven Flows on Spheres

Physical Review Letters
Oscar MickelinJörn Dunkel

Abstract

Recent experiments demonstrate the importance of substrate curvature for actively forced fluid dynamics. Yet, the covariant formulation and analysis of continuum models for nonequilibrium flows on curved surfaces still poses theoretical challenges. Here, we introduce and study a generalized covariant Navier-Stokes model for fluid flows driven by active stresses in nonplanar geometries. The analytical tractability of the theory is demonstrated through exact stationary solutions for the case of a spherical bubble geometry. Direct numerical simulations reveal a curvature-induced transition from a burst phase to an anomalous turbulent phase that differs distinctly from externally forced classical 2D Kolmogorov turbulence. This new type of active turbulence is characterized by the self-assembly of finite-size vortices into linked chains of antiferromagnetic order, which percolate through the entire fluid domain, forming an active dynamic network. The coherent motion of the vortex chain network provides an efficient mechanism for upward energy transfer from smaller to larger scales, presenting an alternative to the conventional energy cascade in classical 2D turbulence.

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Citations

May 6, 2020·Soft Matter·Bao-Quan AiXiao-Miao Zhang
Jul 10, 2019·Physical Review Letters·Moritz LinkmannBruno Eckhardt
Mar 15, 2020·Physical Review. E·Moritz LinkmannBruno Eckhardt
Apr 15, 2020·Science Advances·Vamsi SpandanAlpha A Lee
May 11, 2019·Physical Review Letters·D J G PearceL Giomi
Sep 13, 2020·Proceedings of the National Academy of Sciences of the United States of America·Yong-Cong ChenPing Ao

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