Anomalous Chained Turbulence in Actively Driven Flows on Spheres
Name
PhysRevLett.120.164503.pdf
Size
1.05 MB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Lecoanet, Daniel
Vasil, Geoffrey M.
Mickelin, Oscar
Slomka, Jonasz Jozef
Burns, Keaton James
Maltez Faria, Luiz
Dunkel, Joern
Date Issued
April 2018
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Mickelin, Oscar et al. "Anomalous Chained Turbulence in Actively Driven Flows on Spheres." Physical Review Letters 120, 16 (April 2018): 164503 © 2018 American Physical Society
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.120.164503
