Work

Particles and fields in minimal hydrodynamic models for active turbulence

Year: 2025
Type: article
Abstract: 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.
Language: English
Open Access status: hybrid
Estimated APC paid: $1,895
OpenAlex ID: W4408605652
FWCI: 1.788
Cites: 79
Cited by: 4
Related to: 10