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arXiv · 1807.08922

About the non-standard viewpoint on the dynamics of closed vortex filament

S. V. Talalov
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Abstract

In this article we construct the Hamiltonian description of the closed vortex filament dynamics in terms of non-standard variables, phase space and constraints. The suggested approach makes obvious interpretation of considered system as a quasiparticle that possess certain external and internal degrees of the freedom. The constructed theory is invariant under the transformation of Galilei group. The appearance of this group allows for a new viewpoint on the energy of a closed vortex filament with zero thickness. The explicit formula for the effective mass of the quasiparticle 'closed vortex filament' is suggested.

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S. V. Talalov. 2018-07-24. About the non-standard viewpoint on the dynamics of closed vortex filament. https://doi.org/10.1142/s0217984918504109

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