Spatiotemporal Chaos and Defect Proliferation in Polar-Apolar Active Mixture

TL;DR

This paper explores complex spatiotemporal chaos in a mixed active system with polar and apolar components, revealing novel dynamical states and defect behaviors through hydrodynamic simulations.

Contribution

It uncovers new chaotic regimes and defect proliferation phenomena in a polar-apolar active mixture, extending understanding beyond traditional active matter models.

Findings

Discovered a dynamically disordered phase with defect proliferation.

Quantified chaos using spectral analysis and Lyapunov exponents.

Identified non-monotonic responses of apolar species to system parameters.

Abstract

Chaotic transitions in inertial fluids typically proceed through a direct energy cascade from large to small scales. In contrast, active systems, composed of self propelled units, inject energy at microscopic scales and therefore exhibit an inverse cascade, giving rise to distinctly unconventional flow patterns. Here, we investigate an active mixture consisting of both apolar and polar self driven components, a setting expected to display richer behaviours than those found in living liquid crystal (LLC) systems, where the apolar constituent is passive. Using numerical solutions of the corresponding hydrodynamic equations, we uncover a variety of complex dynamical states. Our results reveal a non-monotonic response of the apolar species to changes in the density and activity of the polar component. In an intermediate regime, reminiscent of LLC-induced disorder, the system develops a dynamically disordered phase characterised by high-density, chaotically evolving band-like structures and by the continual creation and annihilation of half integer topological defects. We show that this regime exhibits spatiotemporal chaos, which we quantify through two complementary measures: the spectral properties of density fluctuations and the maximal Lyapunov exponent. Together, these findings broaden the understanding of complex transitions in active matter and suggest potential experimental realisations in bacterial suspensions or synthetic microswimmer assemblies.