Peaked structures in noise power spectra as signature of avalanche correlation

TL;DR

This paper introduces a new theoretical framework explaining peaked noise spectra as a result of avalanche correlations, validated by experiments in superconductors and bacteria.

Contribution

It presents a first-principles statistical theory linking avalanche correlations to peaked noise spectra, addressing a long-standing unexplained phenomenon.

Findings

The theory accurately models observed noise spectra in superconductors and bacteria.

Avalanche correlation is identified as the physical origin of spectral peaks.

The approach provides a universal master equation for peaked noise spectra.

Abstract

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.