Natural time analysis of critical phenomena.

@article{Varotsos2011NaturalTA,
  title={Natural time analysis of critical phenomena.},
  author={Panayiotis A. Varotsos and Nicholas V. Sarlis and Efthimios Skordas and Seiya Uyeda and Masashi Kamogawa},
  journal={Proceedings of the National Academy of Sciences of the United States of America},
  year={2011},
  volume={108 28},
  pages={11361-4}
}
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 κ(1)(≡ - (2)) of natural time χ, where = Σp(k)f(χ(k)) and p(k) is the normalized energy released during the kth 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… CONTINUE READING
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1 Excerpt

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