This master’s thesis addresses defect loops in nematic active turbulence systems. An algorithm was developed that tracks local minima in the three-dimensional order parameter field, thereby enabling the parametrization of disclination lines. The algorithm is based on the application of logical masks, which account both for the physical properties of the system and the resolution of the employed simulations. Parametrization of the curves allows for the analysis of their geometric properties, such as length, curvature, and the angle between successive normals, as well as the evaluation of correlations between them. The analysis was performed on two groups of simulations: in the first, the activity was varied, while in the second, the chiral step was varied. All analyzed defect lines are closed in periodic space, making it possible to distinguish regular defects from wrapping ones. In the variation of activity, the average curvature shows a stronger dependence on loop length than on activity. In chiral systems, both the average curvature and the average angle between successive normals assume constant values within error margins. In the variation of activity, the correlation between average curvature and the average angle between successive normals is greater than in the variation of the chiral step. For none of the analyzed curves is the correlation between these variables strong. Tracking defect curves in the temporal evolution of active nematic turbulence allows visualization of loop merging and splitting. The parametrization of disclination lines and the insight into their geometric features represent a step toward deepening the understanding of their topological properties.
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