Here we show how to apply a recently introduced method based on the geometric interpretation of linear momentum of vortex lines to determine dynamical properties of a network of knots and links. To show how the method works and to prove its feasibility, we consider the evolution of quantum vortices governed by the Gross-Pitaevskii equation. Accurate estimates of the momentum of interacting and reconnecting vortex rings, links, and knots are determined. The method is of general validity and it proves particularly useful in practical situations where no analytical information is available. It can be easily adapted to situations where morphological information can be extracted from experimental or computational data, thus providing a powerful tool for real-time diagnostics of vortex filaments or other networks of filamentary structures.

Zuccher, S., Ricca, R. (2019). Momentum of vortex tangles by weighted area information. PHYSICAL REVIEW. E, 100(1) [10.1103/PhysRevE.100.011101].

Momentum of vortex tangles by weighted area information

Ricca Renzo
Secondo
2019

Abstract

Here we show how to apply a recently introduced method based on the geometric interpretation of linear momentum of vortex lines to determine dynamical properties of a network of knots and links. To show how the method works and to prove its feasibility, we consider the evolution of quantum vortices governed by the Gross-Pitaevskii equation. Accurate estimates of the momentum of interacting and reconnecting vortex rings, links, and knots are determined. The method is of general validity and it proves particularly useful in practical situations where no analytical information is available. It can be easily adapted to situations where morphological information can be extracted from experimental or computational data, thus providing a powerful tool for real-time diagnostics of vortex filaments or other networks of filamentary structures.
Articolo in rivista - Articolo scientifico
Momentum, vortex dynamics, topological complexity, quantum vortex
English
2019
100
1
011101
open
Zuccher, S., Ricca, R. (2019). Momentum of vortex tangles by weighted area information. PHYSICAL REVIEW. E, 100(1) [10.1103/PhysRevE.100.011101].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/271937
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