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Spectral energy analysis of bulk three-dimensional active nematic turbulence | Žiga Krajnik
; Žiga Kos
; Miha Ravnik
; | Date: |
20 Dec 2019 | 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 $simzeta^{0.5}$, 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 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. | Source: | arXiv, 1912.9680 | Services: | Forum | Review | PDF | Favorites |
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