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

Jonathan Skipp; Jason Laurie; Sergey Nazarenko

doi:10.1103/PhysRevE.107.025107

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

Jonathan Skipp, Jason Laurie, Sergey Nazarenko

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	025107
Number of pages	9
Journal	Physical Review E
Volume	107
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevE.107.025107
Publication status	Published - 24 Feb 2023

Bibliographical note

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

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10.1103/PhysRevE.107.025107

skipp_hamiltonian_2023
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
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Hamiltonian Derivation of the Point Vortex Model from the Two-Dimensional Nonlinear Schrödinger Equation

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