Similarity of fluctuations in correlated systems: The case of seismicity

Abstract

We report a similarity of fluctuations in equilibrium critical phenomena and non-equilibrium systems, which is based on the concept of natural time. The world-wide seismicity as well as that of San Andreas fault system and Japan are analyzed. An order parameter is chosen and its fluctuations relative to the standard deviation of the distribution are studied. We find that the scaled distributions fall on the same curve, which interestingly exhibits, over four orders of magnitude, features similar to those in several equilibrium critical phenomena (e.g., 2D Ising model) as well as in non-equilibrium systems (e.g., 3D turbulent flow).

5 pages, 9 figures

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• Generalised extreme value statistics and sum of correlated variables
• Detrended fluctuation analysis of the magnetic and electric field variations that precede rupture
• The fluctuations, under time reversal, of the natural time and the entropy distinguish similar looking electric signals of different dynamics
• Turbulent-Like Behavior of Seismic Time Series
• Global fluctuations in physical systems: a subtle interplay between sum and extreme value statistics
• Football fever: goal distributions and non-Gaussian statistics
• Order parameter fluctuations in natural time and b-value variation before large earthquakes
• Determination of the scale of coarse graining in earthquake network
• Self-affirmation model for football goal distributions
• Violation of the scaling relation and non-Markovian nature of earthquake aftershocks
• Prediction of extreme events in the OFC model on a small world network
• Temporal analysis of acoustic emission from a plunged granular bed