Spectral energy analysis of bulk three-dimensional active nematic turbulence

Abstract

We perform energy spectrum analysis of the active turbulence in 3D bulk active nematic using continuum numerical modelling. Specifically, we calculate the spectra of two main energy contributions---kinetic energy and nematic elastic energy---and combine this with the geometrical analysis of the nematic order and flow fields, based on direct defect tracking and calculation of autocorrelations. We show that the active nematic elastic energy is concentrated at scales corresponding to the effective defect-to-defect separation, scaling with activity as $\sim {\zeta }^{0.5}$, whereas the kinetic energy is largest at somewhat larger scales of typically several 100 nematic correlation lengths. Nematic biaxiallity is shown to have no role in active turbulence at most of length scales, but can affect the nematic elastic energy by an order of magnitude at scales of active defect core size. The effect of an external aligning field on the 3D active turbulence is explored, showing a transition from an effective active turbulent to an aligned regime. The work is aimed to provide a contribution towards understanding active turbulence in general three-dimensions, from the perspective of main energy-relevant mechanisms at different length scales of the system.

9 pages, 8 figures, additional section on effects of an aligning field

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Cited by in corpus (10)

• Active Turbulence
• Inertia drives a flocking phase transition in viscous active fluids
• Defect Line Coarsening and Refinement in Active Nematics
• Scaling regimes of active turbulence with external dissipation
• Defect Loops in Three-Dimensional Active Nematics as Active Multipoles
• Chirality, anisotropic viscosity and elastic anisotropy in three-dimensional active nematic turbulence
• Coexistence of defect morphologies in three dimensional active nematics
• Flow patterns and defect dynamics of active nematics under an electric field
• Orientational order and topological defects in a dilute solutions of rodlike polymers at low Reynolds number
• Nematic order condensation and topological defects in inertial active nematics