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Phase dynamics and their role determining energy flux in hydrodynamic shell models

Santiago J. Benavides1,2,* and Miguel D. Bustamante3,†

  • 1School of Aeronautics and Space Engineering, Universidad Politécnica de Madrid, Madrid, Spain
  • 2School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, Edinburgh, United Kingdom
  • 3School of Mathematics and Statistics, University College Dublin, Belfield, Dublin 4, Ireland

  • *Contact author: Santiago.Benavides@ed.ac.uk
  • †Contact author: miguel.bustamante@ucd.ie

Multi-branch shell models of two-dimensional turbulence exhibit dual energy-enstrophy cascades

Flavio Tuteri, Sergio Chibbaro, and Alexandros Alexakis

Phys. Rev. Fluids 11 084604 (2026)

Phase-symmetry breaking as a mechanism for subcritical transition in shell models of turbulence

Yoshiki Hiruta

Phys. Rev. E 114 L013101 (2026)

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