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Conformal invariance in water-wave turbulence

2024/01/29 by M. Noseda, Noseda, M., Pablo Cobelli +1
Earth and Planetary Sciences · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Ocean Waves and Remote Sensing

paper · pdf · doi:10.48550/arxiv.2401.16531

openalex publication_date 2024/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We experimentally investigate the statistics of zero-height isolines in gravity wave turbulence as physical candidates for conformal invariant curves. We present direct evidence that they can be described by the family of conformal invariant curves called stochastic Schramm-Löwner evolution (or SLEκ), with diffusivity κ= 2.88(8). A higher nonlinearity in the height fields is shown to destroy this symmetry, though scale invariance is retained.

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