Hamiltonian Derivation of the Point Vortex Model from the Two-Dimensional Nonlinear Schrödinger Equation


We present a rigorous derivation of the point vortex model starting from the two-dimensional nonlinear Schrödinger equation, from the Hamiltonian perspective, in the limit of well-separated, subsonic vortices on the background of a spatially infinite strong condensate. As a corollary, we calculate to high accuracy the self-energy of an isolated elementary Pitaevskii vortex.

Publication DOI: https://doi.org/10.1103/PhysRevE.107.025107
Divisions: College of Engineering & Physical Sciences > School of Informatics and Digital Engineering > Mathematics
College of Engineering & Physical Sciences > Aston Institute of Urban Technology and the Environment (ASTUTE)
College of Engineering & Physical Sciences
College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: This work was supported by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 823937 for the RISE project HALT. J.L. and J.S. are supported by the Leverhulme Trust Project Grant RPG-2021-014. Copyright ©2023 American Physical Society
Publication ISSN: 1550-2376
PURE Output Type: Article
Published Date: 2023-02-24
Accepted Date: 2023-02-01
Authors: Skipp, Jonathan
Laurie, Jason (ORCID Profile 0000-0002-3621-6052)
Nazarenko, Sergey



Version: Accepted Version

License: Creative Commons Attribution

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