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Author:

Foresti, Matteo (Foresti, Matteo.) | Ricca, Renzo L. (Ricca, Renzo L..)

Indexed by:

Scopus SCIE

Abstract:

The equations governing the evolution of quantum vortex defects subject to twist are derived in standard hydrodynamic form. Vortex defects emerge as solutions of the Gross-Pitaevskii equation, that by Madelung transformation admits a hydrodynamic description. Here, we consider a vortex defect subject to superposed twist due to the rotation of the phase of the wave function. We prove that, when twist is present, the corresponding Hamiltonian is non-Hermitian and determine the effect of twist on the energy expectation value of the system. We show how twist diffusion may trigger linear instability, a property directly related to the non-Hermiticity of the Hamiltonian. We derive the correct continuity equation and, by applying defect theory, we obtain the correct momentum equation. Finally, by coupling twist kinematics and vortex dynamics we determine the full set of hydrodynamic equations governing quantum vortex evolution subject to twist.

Keyword:

topological fluid dynamics quantum fluids vortex dynamics

Author Community:

  • [ 1 ] [Foresti, Matteo]Univ Milano Bicocca, Dept Math & Applicat, Via Cozzi 55, I-20125 Milan, Italy
  • [ 2 ] [Ricca, Renzo L.]Univ Milano Bicocca, Dept Math & Applicat, Via Cozzi 55, I-20125 Milan, Italy
  • [ 3 ] [Ricca, Renzo L.]Beijing Univ Technol, BDIC, 100 Pingleyuan, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Ricca, Renzo L.]Univ Milano Bicocca, Dept Math & Applicat, Via Cozzi 55, I-20125 Milan, Italy;;[Ricca, Renzo L.]Beijing Univ Technol, BDIC, 100 Pingleyuan, Beijing 100124, Peoples R China

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Source :

JOURNAL OF FLUID MECHANICS

ISSN: 0022-1120

Year: 2020

Volume: 904

3 . 7 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:115

Cited Count:

WoS CC Cited Count: 7

SCOPUS Cited Count: 5

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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