An outstanding topic on noise phenomena is the occurrence of peaked structures in many natural systems in a wide range 10^-1 - 10^6 Hz. All existing theories failed to explain this issue. The present theory based on first prin-ciple statistics of elementary events clustered in time-amplitude correlated large avalanches leads to a noise spectral power master equation suitable for any peaked noise spectra. The excellent agreement with our current noise experiments in high Tc superconductors in the dendritic regime and with optical noise experiments in E.coli demonstrates firstly that avalanche correlation is the physical source of spectral peaks.
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