Superfluid vortex dynamics on a torus and other toroidal surfaces of revolution

The superfluid flow velocity is proportional to the gradient of the phase of the superfluid order parameter, leading to the quantization of circulation around a vortex core. In this work, we study the dynamics of a superfluid film on the surface of a torus. Such a compact surface allows only configu...

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Detalhes bibliográficos
Autores: Guenther, Nils Eric, Massignan, Pietro Alberto|||0000-0003-1545-792X, Fetter, Alexander L.
Tipo de documento: artigo
Data de publicação:2020
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositório:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglês
OAI Identifier:oai:upcommons.upc.edu:2117/345362
Acesso em linha:https://hdl.handle.net/2117/345362
https://dx.doi.org/10.1103/PhysRevA.101.053606
Access Level:Acceso aberto
Palavra-chave:Superfluidity
Fluid dynamics
Vortex-motion
Vortex dynamics
Dinàmica de fluids
Vòrtexs (Hidrodinàmica)
Superfluïdesa
Àrees temàtiques de la UPC::Física
Descrição
Resumo:The superfluid flow velocity is proportional to the gradient of the phase of the superfluid order parameter, leading to the quantization of circulation around a vortex core. In this work, we study the dynamics of a superfluid film on the surface of a torus. Such a compact surface allows only configurations of vortices with zero net vorticity. We derive analytic expressions for the flow field, the total energy, and the time-dependent dynamics of the vortex cores. The local curvature of the torus and the presence of non-contractable loops on this multiply connected surface alter both the superfluid flow and the vortex dynamics. Finally we consider more general surfaces of revolution, called toroids