uperfluid vortex dynamics on an ellipsoid and other surfaces of revolutio

Autor(es)

Caracanhas, Monica A. ^[1] ; Massignan, Pietro ^[2] ; Fetter, Alexander L. ^{[3, 4]}

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13566590 Sao Paulo - Brazil

^[2] Univ Politecn Cataluna, Dept Fis, Campus Nord B4-B5, E-08034 Barcelona - Spain

^[3] Stanford Univ, Dept Phys, Stanford, CA 94305 - USA

^[4] Stanford Univ, Dept Appl Phys, Stanford, CA 94305 - USA

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW A; v. 105, n. 2 FEB 7 2022.
• Citações Web of Science: 0

Resumo

We present a study of superfluid vortex dynamics on general axisymmetric compact surfaces with no holes. Specifically, we develop a general method to transform conformally from the axisymmetric surface to a plane, where we use familiar methods based on the hydrodynamic stream function. Our approach shows that vortices constitute a Hamiltonian dynamical system, with their angular positions on the surface as canonical variables. The dynamical motion conserves both the total energy and the angular momentum, and it features a marked anticorrelation between the vortex speed and the local curvature of the surface. (AU)

• Processo FAPESP: 13/07276-1 - CEPOF - Centro de Pesquisa em Óptica e Fotônica
• Beneficiário: Vanderlei Salvador Bagnato
• Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs