| Issue |
EPL
Volume 150, Number 1, April 2025
|
|
|---|---|---|
| Article Number | 13001 | |
| Number of page(s) | 7 | |
| Section | Fluid and nonlinear dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/adc299 | |
| Published online | 11 April 2025 | |
Particles and fields in minimal hydrodynamic models for active turbulence
1 Centre for Condensed Matter Theory, Department of Physics, Indian Institute of Science - Bengaluru, 560012, India
2 Universitè Côte d'Azur, CNRS, Institut de Physique de Nice (INPHYNI) - 17 rue Julien Lauprêtre, 06200 Nice, France
Received: 23 December 2024
Accepted: 19 March 2025
We provide an overview of theoretical developments in the rapidly developing field of active-fluid turbulence. After a summary of the partial differential equations (PDEs) for active fluids with scalar, polar, and nematic order parameters, we concentrate on a minimal description that employs the Toner-Tu-Swift-Hohenberg (TTSH) model. We present illustrative results —numerical, theoretical, and rigorous— for TTSH turbulence. In particular, we present statistical properties of such turbulence in both Eulerian and Lagrangian frameworks. We end with a perspective of new trends in the field of active-fluid turbulence.
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