@article{3147129, title = "Natural-time analysis of critical phenomena: The case of seismicity", author = "Varotsos, P. A. and Sarlis, N. V. and Skordas, E. S. and Uyeda, S. and and Kamogawa, M.", journal = "Europhysics Letters (EPL)", year = "2010", volume = "92", number = "2", publisher = "IOP Publishing Ltd", doi = "10.1209/0295-5075/92/29002", abstract = "We first investigate in natural time the numerical simulations of a simple deterministic self-organized critical system introduced to describe avalanches in stick-slip phenomena. It is one-dimensional and belongs to the same universality class as the train model for earthquakes introduced by Burridge and Knopoff. We show that the variance kappa(1) = - (2) of natural time chi, becomes approximately equal to 0.070 when the system approaches the critical state. Next, we analyze in natural time the small earthquakes subsequent to the low-frequency magnetic-field precursor observed near the epicenter of the Ms7.1 Loma Prieta earthquake in 1989. We find that almost five days before the mainshock, the condition kappa(1) approximate to 0.070 was reached. Copyright (C) EPLA, 2010" }