On the zero helicity condition for quantum vortex defects

被引：2

作者：

Belloni, Andrea ^{[1
]}

Ricca, Renzo L. ^{[2
,3
]}

机构：

[1] Univ Milan, Dept Math, Via Saldini 50, I-20133 Milan, Italy

[2] Univ Milano Bicocca, Dept Math & Applicat, Via Cozzi 55, I-20125 Milan, Italy

[3] Beijing Univ Technol, Fac Sci, 100 Pingleyuan, Beijing 100124, Peoples R China

来源：

JOURNAL OF FLUID MECHANICS | 2023年 / 963卷

基金：

中国国家自然科学基金;

关键词：

topological fluid dynamics; variational methods; quantum fluids; TURBULENCE; VORTICES;

D O I：

10.1017/jfm.2023.304

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this note we provide an analytical proof of the zero helicity condition for systems governed by the Gross-Pitaevskii equation (GPE). The proof is based on the hydrodynamic interpretation of the GPE, and the direct use of Noether's theorem by applying Kleinert's multi-valued gauge theory. As a by-product we also demonstrate the conservation and quantization of the circulation for the GPE.

引用

页数：9

共 30 条

[1]

Barenghi C. F., 2016, A Primer on Quantum Fluids

[2] A NOTE ON HAMILTONS PRINCIPLE FOR PERFECT FLUIDS [J].

BRETHERTON, FP .

JOURNAL OF FLUID MECHANICS, 1970, 44 (OCT) :19-+

[3] Helicity, topology, and Kelvin waves in reconnecting quantum knots [J].

Clark di Leoni, P. ;

Mininni, P. D. ;

Brachet, M. E. .

PHYSICAL REVIEW A, 2016, 94 (04)

[4] Dual cascade and dissipation mechanisms in helical quantum turbulence [J].

Clark di Leoni, Patricio ;

Mininni, Pablo D. ;

Brachet, Marc E. .

PHYSICAL REVIEW A, 2017, 95 (05)

[5]

Donnelly R.J., 1996, COLLECTED WORKS LARS, P693

[6]

DONNELLY RJ, 1993, ANNU REV FLUID MECH, V25, P325

[7] Instability of a quantum vortex by twist perturbation [J].

Foresti, Matteo ;

Ricca, Renzo L. .

JOURNAL OF FLUID MECHANICS, 2022, 949

[8] Hydrodynamics of a quantum vortex in the presence of twist (vol 904, A25, 2020) [J].

Foresti, Matteo ;

Ricca, Renzo L. .

JOURNAL OF FLUID MECHANICS, 2022, 938

[9] Hydrodynamics of a quantum vortex in the presence of twist [J].

Foresti, Matteo ;

Ricca, Renzo L. .

JOURNAL OF FLUID MECHANICS, 2020, 904

[10] Defect production by pure phase twist injection as Aharonov-Bohm effect [J].

Foresti, Matteo ;

Ricca, Renzo L. .

PHYSICAL REVIEW E, 2019, 100 (02)

← 1 2 3 →