Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links
arXiv:1904.07827 · doi:10.1103/PhysRevE.100.012205
Abstract
Quantized vortices in a complex wave field described by a defocusing nonlinear Schrödinger 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.
arXiv commentrevtex, 6 pages, 7 figures, accepted for publication in PRE
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