Long-range correlations in the electric signals that precede rupture
Abstract
The Smoluchowski-Chapman-Kolmogorov functional equation is applied to the electric signals that precede rupture. The results suggest a non-Markovian character of the analyzed data. The rescaled range Hurst and detrended fluctuation analyses, as well as that related with the ``mean distance a walker spanned,'' lead to power-law exponents, which are consistent with the existence of long-range correlations. A ``universality'' in the power spectrum characteristics of these signals emerges, if an analysis is made (not in the conventional time frame, but) in the ``natural'' time domain. Within this frame, it seems that certain power spectrum characteristics of ion current fluctuations in membrane channels distinguish them from the electric signals preceding rupture. The latter exhibit a behavior compatible with that expected from a model based on the random field Ising Hamiltonian at the critical point.
- Publication:
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Physical Review E
- Pub Date:
- July 2002
- DOI:
- Bibcode:
- 2002PhRvE..66a1902V
- Keywords:
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- 87.17.-d;
- 05.40.-a;
- Cellular structure and processes;
- Fluctuation phenomena random processes noise and Brownian motion