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Kelvin Waves, Mutual Friction, and Fluctuations in the Gross–Pitaevskii Model

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In this work, we first briefly review some of the mutual friction effects on vortex lines and rings that were obtained in the context of the truncated Gross–Pitaevskii equation in references Krstulovic and Brachet (Phys Rev E 83(6):066311, 2011; Phys Rev B 83:132506, 2011), with particular attention to the anomalous slowdown of rings produced by thermally excited Kelvin waves. We then study the effect of mutual friction on the relaxation and fluctuations of Kelvin waves on straight vortex lines by comparing the results of full 3D direct simulations of the truncated Gross–Pitaevskii equation with a simple stochastic Local-Induction-Approximation model with mutual friction and thermal noise included. This new model allows us to determine the mutual friction coefficient \(\varvec{\alpha }\) and \(\varvec{\alpha '}\) for the truncated Gross–Pitaevskii equation.

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Acknowledgements

G.K. was supported by the Agence Nationale de la Recherche through the project GIANTE ANR-18-CE30-0020-01. M.E.B. acknowledges support from the French Agence Nationale de la Recherche (ANR QUTE-HPC Project No. ANR-18-CE46-0013).This work was granted access to the HPC resources of GENCI under the allocation 2019-A0072A11003 made by GENCI. Computations were also carried out at the Mésocentre SIGAMM hosted at the Observatoire de la Côte d’Azur.

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Author notes

  1. Giorgio Krstulovic and Marc E. Brachet contributed equally to this work.

Authors and Affiliations

  1. Laboratoire Lagrange, Observatoire de la Côte d’Azur, CNRS, Université Côte d’Azur, Bd de l’Observatoire, CS 34229, 06304, Nice Cedex 4, France

    Giorgio Krstulovic

  2. Laboratoire de Physique de l’Ecole Normale Supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université de Paris, 75005, Paris, France

    Marc E. Brachet

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  1. Giorgio Krstulovic
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Krstulovic, G., Brachet, M.E. Kelvin Waves, Mutual Friction, and Fluctuations in the Gross–Pitaevskii Model. J Low Temp Phys 212, 321–341 (2023). https://doi.org/10.1007/s10909-023-02985-z

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