Hamiltonian derivation of the point vortex model from the two-dimensional nonlinear Schrodinger equation

被引：11

作者：

Skipp, Jonathan ^{[1
]}

Laurie, Jason ^{[1
]}

Nazarenko, Sergey ^{[2
]}

机构：

[1] Aston Univ, Coll Engn & Phys Sci, Dept Math, Birmingham B4 7ET, W Midlands, England

[2] Univ Cote Azur, CNRS, Inst Phys Nice, F-06108 Nice, France

来源：

PHYSICAL REVIEW E | 2023年 / 107卷 / 02期

关键词：

VORTICES; TURBULENCE;

D O I：

10.1103/PhysRevE.107.025107

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We present a rigorous derivation of the point vortex model starting from the two-dimensional nonlinear Schrodinger 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.

引用

页数：9

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