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1999 Fiscal Year Final Research Report Summary

Chaos in Cosmic Ray Air Showers

Research Project

Project/Area Number 09045039
Research Category

Grant-in-Aid for Scientific Research (C).

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionKinki University

Principal Investigator

TSUJI Katsufumi  Kinki Univ., Faculty of Sci. and Eng., Associate Prof., 理工学部, 助教授 (30088439)

Co-Investigator(Kenkyū-buntansha) TAMADA Masanobu  Kinki Univ., Faculty of Sci. and Eng., Associate Prof., 理工学部, 助教授 (70163673)
CHIKAWA Michiyuki  Kinki Univ., Faculty of Sci. and Eng., Associate Prof., 理工学部, 助教授 (50179941)
KONISHI Takeharu  Kinki Univ., Faculty of Sci. and Eng., Associate Prof., 理工学部, 助教授 (00088501)
KATO Yukihiro  Kinki Univ., Faculty of Sci. and Eng., Research Associate, 理工学部, 助手 (60278744)
Project Period (FY) 1997 – 1999
KeywordsChaos / Cosmic Ray / Extensive Air Shower
Research Abstract

In order to show that arrival times of cosmic-ray air showers have chaotic behavior and also cosmic ray chaos will occur on a global scale, fractal analysis using correlation dimensions has been made to the time series of Tunka-13 air shower experiment performed by the Irkutsk State University. Chaos events are searched and the results obtained are as follows.
1. Total 2061kilo shower events for effective observation time of 348 hours are analyzed. Data used are from 4^<th> Nov.1997 to 30^<th> Apr.1998. Intervals of successive air showers are embedded until 10^<th> dimension. Correlation dimensions are calculated by the P.Grassberger and I.Procaccia's method. As a result, 6 chaos candidates whose correlation dimension is about 4.8 at embedding dimension equals 8 are selected, Typical chaotic feature continues about 5 minutes or 10 minutes.
2. Also, on the air shower data observed at Kinki University (Higashi-Osaka City), correlation dimensions are calculated for the same period as Irkustk data. Selected chaos candidates are 9 events. In this case, chaos continues about 10 hours.
3. Four out of 6 chaotic air showers of the Irkutsk installation are detected during the same time zone also by the Kinki university installation which is at 3200km distance from the Irkutsk one. Chance probability of the 4 coincident events is 0.001, that is very small. Especially on 28^<th> Mar.1998, chaotic time series are observed at the same time at two installations.
4. Therefore we consider that chaotic air showers could be produced on a global scale. No special differences for chaos showers are found on the intensity and on the energy of air showers.

  • Research Products

    (8 results)

All Other

All Publications (8 results)

  • [Publications] Takashi Kitamura et.al: "Chaos in cosmic ray air showers"Astroparticle Physics. 6. 279-291 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] W.Unno et.al: "Chaotic behaviour in arrival times of cosmic-ray air showers"Europhysics Letters. 39(4). 465-468 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 辻勝文 他: "ツンカの空気シャワー時系列におけるカオス現象の探索"近畿大学理工学部研究報告. 第35号. 33-36 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 辻勝文 他: "ツンカの空気シャワー時系列のフラクタル次元解析"近畿大学理工学部研究報告. 第36号. 9-12 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Takashi Kitamura et.al.: "Chaos in cosmic ray air showers"Astroparticle Physics. 6. 279-291 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] W.Unno et.al.: "Chaotic behavior in arrival times of cosmic-ray air showers"Europhsics Letters. 39 (4). 465-468 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Katsufumi Tsuji et.al.: "Search for Chaotic Data in Arrival Times of the Tunka Extensive Air Showers"J.School Sci.Eng.Kinki Univ.. 35. 33-36 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Katsufumi Tsuji et.al.: "Fractal Dimension Analysis on the Arrival Times of the Tunka Air Showers"J.School Sci.Eng.Kinki Univ.. 36. 9-12 (2000)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2002-03-26  

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