Partial Universal Critical Point in Turbulent Flows: Spectral Gap Universality Without Blow-Up Scaling
Abstract
We report evidence for partial universality in turbulent flows through systematic analysis of the Johns Hopkins Turbulence Database and cross-model theoretical validation. While temporal blow-up scaling remains model-dependent, we find spectral gap consistency in idealized models following the Möbius transformation γ = (3c_l − 1)/(2c_l − 1). Phenomenological derivation from self-similar dynamics predicts the value γ = 8/5, with signature detection in isotropic turbulence at Re_λ ≈ 1250 showing evidence consistent with this spectral gap value (8.8% deviation) while the full Möbius structure remains model-specific. This suggests selective universality as a paradigm in turbulence physics: some mathematical structures may show consistency between idealized models and realistic flows while temporal dynamics remain system-specific. Our findings provide evidence consistent with universal critical point mathematics under our estimator in three-dimensional turbulent flows.
Fields of Study & Subjects
Fluid Dynamics and Turbulent Flows
Computational Fluid Dynamics and Aerodynamics
Solar and Space Plasma Dynamics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 4 February 2026
- Language
- EN
- Document type
- Preprint