Skipp, Jonathan, Laurie, Jason and Nazarenko, Sergey (2023). Hamiltonian Derivation of the Point Vortex Model from the Two-Dimensional Nonlinear Schrödinger Equation. Physical Review E, 107 (2),
Abstract
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 |
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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 ( ![]() Nazarenko, Sergey |