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Updated: Feb 28, 2026

Magnetic Tweezers for the Measurement of Twist and Torque
Published on: May 19, 2014
Relaxation of twist helicity in the cascade process of linked quantum vortices
Simone Zuccher1, Renzo L Ricca2
1Department of Computer Science, University of Verona, Ca' Vignal 2, Strada Le Grazie 15, 37134 Verona, Italy.
Abstract:
By numerically solving the three-dimensional Gross-Pitaevskii equation we analyze the cascade process associated with the evolution and decay of a pair of linked vortex rings. The system decays through a series of reconnections to produce finally three unlinked, unfolded, almost planar vortex loops. Total helicity, initially zero, remains unchanged throughout the process. The gradual transfer from writhe (due to initial linking) to twist helicity, followed by a continuous relaxation of twist across scales during the evolution is shown to be a generic mechanism that consistently takes place on each individual component.
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