# Spontaneous knotting of a flexible fiber in chaotic flows.

@article{Favier2021SpontaneousKO, title={Spontaneous knotting of a flexible fiber in chaotic flows.}, author={Benjamin Favier}, journal={Physical review. E}, year={2021}, volume={103 4-1}, pages={ 043101 } }

We consider the problem of an inextensible but flexible fiber advected by a steady chaotic flow, and ask the simple question of whether the fiber can spontaneously knot itself. Using a one-dimensional Cosserat model, a simple local viscous drag model and discrete contact forces, we explore the probability of finding knots at any given time when the fiber is interacting with the ABC class of flows. The bending rigidity is shown to have a marginal effect compared to that of increasing the fiber…

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