Turbulence and turbulent pattern formation in a minimal model for active fluids

Abstract

Active matter systems display a fascinating range of dynamical states, including stationary patterns and turbulent phases. While the former can be tackled with methods from the field of pattern formation, the spatio-temporal disorder of the active turbulence phase calls for a statistical description. Borrowing techniques from turbulence theory, we here establish a quantitative description of correlation functions and spectra of a minimal continuum model for active turbulence. Further exploring the parameter space, we also report on a surprising type of turbulence-driven pattern formation far beyond linear onset: the emergence of a dynamic hexagonal vortex lattice state after an extended turbulent transient, which can only be explained taking into account turbulent energy transfer across scales.

Supplemental videos available at https://youtu.be/gbf6cRho03w https://youtu.be/n0qUUhAUJFQ https://youtu.be/LGmamkM012c

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Cited by in corpus (31)

• Active Turbulence
• Self-Propelled Rods: Insights and Perspectives for Active Matter
• Symmetry-protected multifold exceptional points and their topological characterization
• Universal scaling of active nematic turbulence
• Learning hydrodynamic equations for active matter from particle simulations and experiments
• Phase transition to large scale coherent structures in 2d active matter turbulence
• Anomalous diffusion and Lévy walks distinguish active from inertial turbulence
• Self-enhanced mobility enables vortex pattern formation in living matter
• Quorum-sensing active particles with discontinuous motility
• Intermittency, fluctuations and maximal chaos in an emergent universal state of active turbulence
• Collective effects in confined Active Brownian Particles
• Emergence and melting of active vortex crystals
• Condensate formation and multiscale dynamics in two-dimensional active suspensions
• Motility-Induced Clustering and Meso-Scale Turbulence in Active Polar Fluids
• Active Flows on Curved Surfaces
• Active Matter Invasion
• Ising-like critical behavior of vortex lattices in an active fluid
• Friction Scaling Laws for Transport in Bacterial Turbulence
• Asymmetric pattern formation in microswimmer suspensions induced by orienting fields
• Scaling regimes of active turbulence with external dissipation
• Linearly forced fluid flow on a rotating sphere
• Mean field approach of dynamical pattern formation in underdamped active matter with short-ranged alignment and distant anti-alignment interactions
• Energy transfer in simple and active binary fluid turbulence {\bf {-}} a false friend of incompressible MHD turbulence
• Pattern selection and the route to turbulence in incompressible polar active fluids
• Flocking turbulence of microswimmers in confined domains
• Jacobian-Free Variational Method for Constructing Connecting Orbits in Nonlinear Dynamical Systems
• Vortex line entanglement in active Beltrami flows
• Effective Temperature and Einstein Relation for Particles in Mesoscale Turbulence
• Optimal Turbulent Transport in Microswimmer Suspensions
• Dynamical arrest in active nematic turbulence
• Long-ranged velocity correlations in dense systems of self-propelled particles