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      Criticality features in ULF magnetic fields prior to the 2011 Tohoku earthquake

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          Abstract

          The criticality of ULF (Ultra-low-frequency) magnetic variations is investigated for the 2011 March 11 Tohoku earthquake (EQ) by natural time analysis. For this attempt, some ULF parameters were considered: (1) F h (horizontal magnetic field), (2) F z (vertical magnetic field), and (3) D h (inverse of horizontal magnetic field). The first two parameters refer to the ULF radiation, while the last parameter refers to another ULF effect of ionospheric signature. Nighttime (L.T. = 3 am ± 2 hours) data at Kakioka (KAK) were used, and the power of each quantity at a particular frequency band of 0.03–0.05 Hz was averaged for nighttime hours. The analysis results indicate that F h fulfilled all criticality conditions on March 3–5, 2011, and that the additional parameter, D h reached also a criticality on March 6 or 7. In conclusion, criticality has reached in the pre-EQ fracture region a few days to one week before the main shock of the Tohoku EQ.

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          Natural time analysis of critical phenomena.

          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 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.
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            Author and article information

            Journal
            Proc Jpn Acad Ser B Phys Biol Sci
            Proc. Jpn. Acad., Ser. B, Phys. Biol. Sci
            PJAB
            Proceedings of the Japan Academy. Series B, Physical and Biological Sciences
            The Japan Academy (Tokyo, Japan )
            0386-2208
            1349-2896
            9 January 2015
            : 91
            : 1
            : 25-30
            Affiliations
            [*1 ]Hayakawa Institute of Seismo Electromagnetics Co. Ltd., UEC (University of Electro-Communications) Incubation Center, 1-5-1 Chofugaoka, Chofu, Tokyo, Japan.
            [*2 ]UEC, Advanced Wireless Communications research Center, 1-5-1 Chofugaoka, Chofu, Tokyo, Japan.
            [*3 ]Earthquake Analysis Laboratory, Information Systems Inc., #305, Kita-aoyama 2-12-42, Minato-ku, Tokyo, Japan.
            [*4 ]Institute of Physics of the Earth, Russian Academy of Sciences, 10 Bolshaya Gruzinskaya, 123995, Moscow, Russia.
            [*5 ]Department of Electronics Engineering, Technological Education Institute (TEI) of Piraeus, 250 Thivon and P. Ralli, Aigalao, Athens GR-12244, Greece.
            [*6 ]Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens GR-15784, Greece.
            Author notes
            []Correspondence should be addressed: M. Hayakawa, Hayakawa Institute of Seismo Electromagnetics Co. Ltd., University of Electro-Communications, Incubation Center, 1-5-1 Chofugaoka, Chofu, Tokyo 182-8585, Japan (e-mail: hayakawa@ 123456hi-seismo-em.jp ).

            (Communicated by Seiya UYEDA, M.J.A.)

            Article
            pjab-91-025
            10.2183/pjab.91.25
            4405393
            25743063
            0d27d7c2-e0cf-4611-99ba-57143035c827
            © 2015 The Japan Academy

            This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

            History
            : 19 September 2014
            : 27 November 2014
            Categories
            Original Article

            Life sciences
            earthquake (eq),criticality,seismo-electromagnetics,natural time analysis,ulf magnetic fields,the 2011 tohoku eq

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