Intermittency of Velocity Circulation in Quantum Turbulence

The velocity circulation, a measure of the rotation of a fluid within a closed path, is a fundamental observable in classical and quantum flows. It is indeed a Lagrangian invariant in inviscid classical fluids. In quantum flows, circulation is quantized, taking discrete values that are directly rela...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Nicolás P. Müller, Juan Ignacio Polanco, Giorgio Krstulovic
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/0e6a87fc4a3e4e96b03abb03ad67551b
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:0e6a87fc4a3e4e96b03abb03ad67551b
record_format	dspace
spelling	oai:doaj.org-article:0e6a87fc4a3e4e96b03abb03ad67551b2021-12-02T14:11:51ZIntermittency of Velocity Circulation in Quantum Turbulence10.1103/PhysRevX.11.0110532160-3308https://doaj.org/article/0e6a87fc4a3e4e96b03abb03ad67551b2021-03-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.011053http://doi.org/10.1103/PhysRevX.11.011053https://doaj.org/toc/2160-3308The velocity circulation, a measure of the rotation of a fluid within a closed path, is a fundamental observable in classical and quantum flows. It is indeed a Lagrangian invariant in inviscid classical fluids. In quantum flows, circulation is quantized, taking discrete values that are directly related to the number and the orientation of thin vortex filaments enclosed by the path. By varying the size of such closed loops, the circulation provides a measure of the dependence of the flow structure on the considered scale. Here, we consider the scale dependence of circulation statistics in quantum turbulence, using high-resolution direct numerical simulations of a generalized Gross-Pitaevskii model. Results are compared to the circulation statistics obtained from simulations of the incompressible Navier-Stokes equations. When the integration path is smaller than the mean intervortex distance, the statistics of circulation in quantum turbulence displays extreme intermittent behavior due to the quantization of circulation, in stark contrast with the viscous scales of classical flows. In contrast, at larger scales, circulation moments display striking similarities with the statistics probed in the inertial range of classical turbulence. In particular, we observe the emergence of the power-law scalings predicted by Kolmogorov’s 1941 theory, as well as intermittency deviations that closely follow the recently proposed bifractal model for circulation moments in classical flows. To date, these findings are the most convincing evidence of intermittency in the large scales of quantum turbulence. Moreover, our results strongly reinforce the resemblance between classical and quantum turbulence, highlighting the universality of inertial-range dynamics, including intermittency, across these two a priori very different systems. This work paves the way for an interpretation of inertial-range dynamics in terms of the polarization and spatial arrangement of vortex filaments.Nicolás P. MüllerJuan Ignacio PolancoGiorgio KrstulovicAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 1, p 011053 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Nicolás P. Müller Juan Ignacio Polanco Giorgio Krstulovic Intermittency of Velocity Circulation in Quantum Turbulence
description	The velocity circulation, a measure of the rotation of a fluid within a closed path, is a fundamental observable in classical and quantum flows. It is indeed a Lagrangian invariant in inviscid classical fluids. In quantum flows, circulation is quantized, taking discrete values that are directly related to the number and the orientation of thin vortex filaments enclosed by the path. By varying the size of such closed loops, the circulation provides a measure of the dependence of the flow structure on the considered scale. Here, we consider the scale dependence of circulation statistics in quantum turbulence, using high-resolution direct numerical simulations of a generalized Gross-Pitaevskii model. Results are compared to the circulation statistics obtained from simulations of the incompressible Navier-Stokes equations. When the integration path is smaller than the mean intervortex distance, the statistics of circulation in quantum turbulence displays extreme intermittent behavior due to the quantization of circulation, in stark contrast with the viscous scales of classical flows. In contrast, at larger scales, circulation moments display striking similarities with the statistics probed in the inertial range of classical turbulence. In particular, we observe the emergence of the power-law scalings predicted by Kolmogorov’s 1941 theory, as well as intermittency deviations that closely follow the recently proposed bifractal model for circulation moments in classical flows. To date, these findings are the most convincing evidence of intermittency in the large scales of quantum turbulence. Moreover, our results strongly reinforce the resemblance between classical and quantum turbulence, highlighting the universality of inertial-range dynamics, including intermittency, across these two a priori very different systems. This work paves the way for an interpretation of inertial-range dynamics in terms of the polarization and spatial arrangement of vortex filaments.
format	article
author	Nicolás P. Müller Juan Ignacio Polanco Giorgio Krstulovic
author_facet	Nicolás P. Müller Juan Ignacio Polanco Giorgio Krstulovic
author_sort	Nicolás P. Müller
title	Intermittency of Velocity Circulation in Quantum Turbulence
title_short	Intermittency of Velocity Circulation in Quantum Turbulence
title_full	Intermittency of Velocity Circulation in Quantum Turbulence
title_fullStr	Intermittency of Velocity Circulation in Quantum Turbulence
title_full_unstemmed	Intermittency of Velocity Circulation in Quantum Turbulence
title_sort	intermittency of velocity circulation in quantum turbulence
publisher	American Physical Society
publishDate	2021
url	https://doaj.org/article/0e6a87fc4a3e4e96b03abb03ad67551b
work_keys_str_mv	AT nicolaspmuller intermittencyofvelocitycirculationinquantumturbulence AT juanignaciopolanco intermittencyofvelocitycirculationinquantumturbulence AT giorgiokrstulovic intermittencyofvelocitycirculationinquantumturbulence
_version_	1718391827917176832

Intermittency of Velocity Circulation in Quantum Turbulence

Ejemplares similares