Universal turbulence on branes in holography

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At a meson melting transition in holographic QCD, a weak turbulence of mesons was found with critical embeddings of probe D-branes in gravity duals. The turbulent mesons have a power-law energy distribution εₙ ∝ (ωₙ)α where ωₙ is the mass of the n-th excited resonance of the meson tower. In this paper, we find that the turbulence power α is universal, irrespective of how the transition is driven, by numerically calculating the power in various static brane setups at criticality. We also find that the power α depends only on the cone dimensions of the probe D-branes.