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.
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 |
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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 |
Last Modified: | 29 Nov 2023 13:32 |
Date Deposited: | 03 Mar 2023 15:58 |
Full Text Link: |
10.1103/PhysRevE.107.025107 |
Related URLs: |
https://journal ... RevE.107.025107
(Publisher URL) |
PURE Output Type: | Article |
Published Date: | 2023-02-24 |
Accepted Date: | 2023-02-01 |
Authors: |
Skipp, Jonathan
Laurie, Jason Nazarenko, Sergey |