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

2018; American Physical Society; Volume: 3; Issue: 6 Linguagem: Inglês

10.1103/physrevfluids.3.061101

2469-9918

Martin James, Wouter J. T. Bos, Michael Wilczek,

Nonlinear Dynamics and Pattern Formation

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.