Report
View in EDS

A minimal phase-coupling model for intermittency in turbulent systems

Bibliographic Details
Title: A minimal phase-coupling model for intermittency in turbulent systems
Authors: Arguedas-Leiva, José-Agustín, Carroll, Enda, Biferale, Luca, Wilczek, Michael, Bustamante, Miguel D.
Source: Phys. Rev. Research (2022)
Publication Year: 2021
Collection: Nonlinear Sciences
Physics (Other)
Subject Terms: Physics - Fluid Dynamics, Nonlinear Sciences - Chaotic Dynamics
More Details: Turbulent systems exhibit a remarkable multi-scale complexity, in which spatial structures induce scale-dependent statistics with strong departures from Gaussianity. In Fourier space, this is reflected by pronounced phase synchronization. A quantitative relation between real-space structure, statistics, and phase synchronization is currently missing. Here, we address this problem in the framework of a minimal phase-coupling model, which enables a detailed investigation by means of dynamical systems theory and multi-scale high-resolution simulations. We identify the spectral power-law steepness, which controls the phase coupling, as the control parameter for tuning the non-Gaussian properties of the system. Whereas both very steep and very shallow spectra exhibit close-to-Gaussian statistics, the strongest departures are observed for intermediate slopes comparable to the ones in hydrodynamic and Burgers turbulence. We show that the non-Gaussian regime of the model coincides with a collapse of the dynamical system to a lower-dimensional attractor and the emergence of phase synchronization, thereby establishing a dynamical-systems perspective on turbulent intermittency.
Comment: 6 pages, 3 figures. Main changes: Improved introduction and model discussion to emphasize the deterministic system that supports a turbulent attractor. Improved figures and text to introduce a time-dependent order parameter
Document Type: Working Paper
DOI: 10.1103/PhysRevResearch.4.L032035
Access URL: http://arxiv.org/abs/2107.14003
Accession Number: edsarx.2107.14003
Database: arXiv
FullText Text:
  Availability: 0
CustomLinks:
  – Url: http://arxiv.org/abs/2107.14003
    Name: EDS - Arxiv
    Category: fullText
    Text: View this record from Arxiv
    MouseOverText: View this record from Arxiv
  – Url: https://resolver.ebsco.com/c/xy5jbn/result?sid=EBSCO:edsarx&genre=article&issn=&ISBN=&volume=&issue=&date=20210729&spage=&pages=&title=A minimal phase-coupling model for intermittency in turbulent systems&atitle=A%20minimal%20phase-coupling%20model%20for%20intermittency%20in%20turbulent%20systems&aulast=Arguedas-Leiva%2C%20Jos%C3%A9-Agust%C3%ADn&id=DOI:10.1103/PhysRevResearch.4.L032035
    Name: Full Text Finder (for New FTF UI) (s8985755)
    Category: fullText
    Text: Find It @ SCU Libraries
    MouseOverText: Find It @ SCU Libraries
Header DbId: edsarx
DbLabel: arXiv
An: edsarx.2107.14003
RelevancyScore: 1014
AccessLevel: 3
PubType: Report
PubTypeId: report
PreciseRelevancyScore: 1013.75427246094
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: A minimal phase-coupling model for intermittency in turbulent systems
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Arguedas-Leiva%2C+José-Agustín%22">Arguedas-Leiva, José-Agustín</searchLink><br /><searchLink fieldCode="AR" term="%22Carroll%2C+Enda%22">Carroll, Enda</searchLink><br /><searchLink fieldCode="AR" term="%22Biferale%2C+Luca%22">Biferale, Luca</searchLink><br /><searchLink fieldCode="AR" term="%22Wilczek%2C+Michael%22">Wilczek, Michael</searchLink><br /><searchLink fieldCode="AR" term="%22Bustamante%2C+Miguel+D%2E%22">Bustamante, Miguel D.</searchLink>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: Phys. Rev. Research (2022)
– Name: DatePubCY
  Label: Publication Year
  Group: Date
  Data: 2021
– Name: Subset
  Label: Collection
  Group: HoldingsInfo
  Data: Nonlinear Sciences<br />Physics (Other)
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Physics+-+Fluid+Dynamics%22">Physics - Fluid Dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+Sciences+-+Chaotic+Dynamics%22">Nonlinear Sciences - Chaotic Dynamics</searchLink>
– Name: Abstract
  Label: Description
  Group: Ab
  Data: Turbulent systems exhibit a remarkable multi-scale complexity, in which spatial structures induce scale-dependent statistics with strong departures from Gaussianity. In Fourier space, this is reflected by pronounced phase synchronization. A quantitative relation between real-space structure, statistics, and phase synchronization is currently missing. Here, we address this problem in the framework of a minimal phase-coupling model, which enables a detailed investigation by means of dynamical systems theory and multi-scale high-resolution simulations. We identify the spectral power-law steepness, which controls the phase coupling, as the control parameter for tuning the non-Gaussian properties of the system. Whereas both very steep and very shallow spectra exhibit close-to-Gaussian statistics, the strongest departures are observed for intermediate slopes comparable to the ones in hydrodynamic and Burgers turbulence. We show that the non-Gaussian regime of the model coincides with a collapse of the dynamical system to a lower-dimensional attractor and the emergence of phase synchronization, thereby establishing a dynamical-systems perspective on turbulent intermittency.<br />Comment: 6 pages, 3 figures. Main changes: Improved introduction and model discussion to emphasize the deterministic system that supports a turbulent attractor. Improved figures and text to introduce a time-dependent order parameter
– Name: TypeDocument
  Label: Document Type
  Group: TypDoc
  Data: Working Paper
– Name: DOI
  Label: DOI
  Group: ID
  Data: 10.1103/PhysRevResearch.4.L032035
– Name: URL
  Label: Access URL
  Group: URL
  Data: <link linkTarget="URL" linkTerm="http://arxiv.org/abs/2107.14003" linkWindow="_blank">http://arxiv.org/abs/2107.14003</link>
– Name: AN
  Label: Accession Number
  Group: ID
  Data: edsarx.2107.14003
PLink https://login.libproxy.scu.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&scope=site&db=edsarx&AN=edsarx.2107.14003
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1103/PhysRevResearch.4.L032035
    Subjects:
      – SubjectFull: Physics - Fluid Dynamics
        Type: general
      – SubjectFull: Nonlinear Sciences - Chaotic Dynamics
        Type: general
    Titles:
      – TitleFull: A minimal phase-coupling model for intermittency in turbulent systems
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Arguedas-Leiva, José-Agustín
      – PersonEntity:
          Name:
            NameFull: Carroll, Enda
      – PersonEntity:
          Name:
            NameFull: Biferale, Luca
      – PersonEntity:
          Name:
            NameFull: Wilczek, Michael
      – PersonEntity:
          Name:
            NameFull: Bustamante, Miguel D.
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 29
              M: 07
              Type: published
              Y: 2021
ResultId 1