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Power-law spectral decay as a general feature of spiral turbulence

par Soupart, Youri ;Clerc, Marcel Gabriel;Tlidi, Mustapha
Référence Physical Review Research, 7, 2, 023136
Publication Publié, 2025-04-01

Article révisé par les pairs

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Résumé :

Spiral waves emitted by topological defects and their instabilities are a fundamental and ubiquitous process in nature. We study this phenomenon using data from recent experiments and different prototype models ranging from coupled oscillators, reaction-diffusion, and nonlinear optics. Statistically we show that, for all systems considered, the spectral density exhibits a power-law decay on spatial scales shorter than the intrinsic wavelength. This reflects a common type of self-organization through a stationary turbulentlike dynamics. The role of short-range interactions due to high defects density is discussed. Using a generalized Hilbert transform in two dimensions, we show that local phase and amplitude field present similar power-law decays in their spectral density.