Papers › Flow around topological defects in active nematic films
Flow around topological defects in active nematic films
Jonas Rønning, M. Cristina Marchetti, Mark J. Bowick, Luiza Angheluta
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We study the active flow around isolated defects and the self-propulsion velocity of +1/2 defects in an active nematic film with both viscous dissipation (with viscosity η) and frictional damping Γ with a substrate. The interplay between these two dissipation mechanisms is controlled by the hydrodynamic dissipation length ℓ_d=√(η/Γ) that screens the flows. For an isolated defect, in the absence of screening from other defects, the size of the vortical flows around the defect is controlled by the system size R. In the presence of friction that leads to a finite value of ℓ_d, the vorticity field decays to zero on the lengthscales larger than ℓ_d. We show that the self-propulsion velocity of +1/2 defects grows with R in small systems where R<ℓ_d, while in the infinite system limit or when R≫ℓ_d, it approaches a constant value determined by ℓ_d.
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