Heavy-quark momentum transfer beyond leading logarithm in weak-coupling plasmas is non-Gaussian with asymmetric exponential tails, matching the structure seen in strongly coupled holographic plasmas.
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Kolmogorov dynamics for heavy quarks in hot plasma shows significantly delayed large-momentum equilibration compared to Fokker-Planck with matched drag, due to rare low-momentum-loss events.
Finite current relaxation introduces memory effects that suppress, shift, and reshape non-monotonic cumulant behavior relative to instantaneous equilibrium and Fickian diffusion, most visibly in higher-order cumulants.
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