Long-range correlations in the electric signals that precede rupture

Area of Science:

• Physics
• Complex Systems
• Nonlinear Dynamics

Background:

• Electric signals preceding material rupture are complex and require advanced analytical methods.
• Understanding the underlying dynamics is crucial for predicting failure events.
• Previous studies have explored various signal processing techniques, but a unified framework is lacking.

Purpose of the Study:

• To analyze the electric signals preceding rupture using the Smoluchowski-Chapman-Kolmogorov functional equation.
• To investigate the presence of long-range correlations and non-Markovian characteristics.
• To explore signal universality in a
• natural
• time domain and compare with ion channel signals.

Main Methods:

• Application of the Smoluchowski-Chapman-Kolmogorov functional equation.
• Rescaled range Hurst analysis.
• Detrended fluctuation analysis.
• Analysis of the
• mean distance a walker spanned
• .

Main Results:

• The electric signals preceding rupture exhibit a non-Markovian character.
• Power-law exponents consistent with long-range correlations were identified.
• Universality in power spectrum characteristics emerged in the
• natural
• time domain.
• Electric signals preceding rupture are distinct from ion current fluctuations in membrane channels.

Conclusions:

• The electric signals preceding rupture display characteristics indicative of long-range correlations and non-Markovian dynamics.
• Analysis in the
• natural
• time domain reveals universal power spectrum properties.
• These signals align with predictions from a critical point model based on the random field Ising Hamiltonian.