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- W2084294564 abstract "A quantity exists by which one can identify the approach of a dynamical system to the state of criticality, which is hard to identify otherwise. This quantity is the variance of natural time χ , where and p k is the normalized energy released during the k th event of which the natural time is defined as χ k = k / N and N stands for the total number of events. Then we show that κ 1 becomes equal to 0.070 at the critical state for a variety of dynamical systems. This holds for criticality models such as 2D Ising and the Bak–Tang–Wiesenfeld sandpile, which is the standard example of self-organized criticality. This condition of κ 1 = 0.070 holds for experimental results of critical phenomena such as growth of rice piles, seismic electric signals, and the subsequent seismicity before the associated main shock." @default.
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- W2084294564 date "2011-06-23" @default.
- W2084294564 modified "2023-10-14" @default.
- W2084294564 title "Natural time analysis of critical phenomena" @default.
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- W2084294564 doi "https://doi.org/10.1073/pnas.1108138108" @default.
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