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 |
|---|---|
| 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 Aston University (General) |
| 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: | 14 Apr 2025 07:20 |
| 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 ( 
0000-0002-3621-6052)
Nazarenko, Sergey |