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

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
Divisions: 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)
College of Engineering & Physical Sciences > School of Computer Science and Digital Technologies > Applied Mathematics & Data Science
College of Engineering & Physical Sciences > School of Computer Science and Digital Technologies
Funding Information: This work was supported by the European Union's H2020 Marie Skłodowska-Curie. Action for MCSA-RISE-2018 project HALT Grant Agreement No. 823937. J.L. and J.S. are supported by Leverhulme Trust, Grant RPG-2021-014.
Additional Information: Copyright ©2023 American Physical Society. This is an accepted manuscript of an article published in Physical Review E. The published version is available at: https://doi.org/10.1103/PhysRevE.107.025107
Publication ISSN: 1550-2376
Last Modified: 20 Jun 2024 07:23
Date Deposited: 03 Mar 2023 15:58
Full Text Link:
Related URLs: https://journal ... RevE.107.025107 (Publisher URL)
http://www.scop ... tnerID=8YFLogxK (Scopus URL)
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

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