Natural time analysis of critical phenomena.

  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},
  volume={108 28},
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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Natural Time Analysis: The New View of Time (Springer, Berlin)

  • P Varotsos, N Sarlis, ES Skordas
  • 2011
1 Excerpt

Natural - time analysis of critical phenomena : The case of seismicity

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  • Europhys Lett
  • 2010

Analysis of electrical activity and seismicity in the natural time domain for the volcanic-seismic swarm activity in 2000 in the Izu Island region, Japan

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  • J Geophys Res 114:B02310
  • 2009
1 Excerpt

The prediction of two large earthquakes in Greece

  • S Uyeda, M Kamogawa
  • EOS Trans AGU 89(39):363
  • 2008

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