Hamiltonian derivation of the point vortex model from the two-dimensional nonlinear Schrödinger equation.
basic_science · Level V
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- Record sourced from PubMed, PMID 36932471.
- Also identified by DOI 10.1103/PhysRevE.107.025107.
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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.