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arXiv · 1904.07827

Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links

Victor P. Ruban
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Abstract

Quantized vortices in a complex wave field described by a defocusing nonlinear Schr\"odinger equation with a space-varying dispersion coefficient are studied theoretically and compared to vortices in the Gross-Pitaevskii model with external potential. A discrete variant of the equation is used to demonstrate numerically that vortex knots in three-dimensional arrays of oscillators coupled by specially tuned weak links can exist for as long times as many tens of typical vortex turnover periods.

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Victor P. Ruban. 2019-04-16. Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links. https://doi.org/10.1103/physreve.100.012205

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