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Novel paradigm of space plasma physics based on Levy processes

Research Project

Project/Area Number 19K21902
Research Category

Grant-in-Aid for Challenging Research (Exploratory)

Allocation TypeMulti-year Fund
Review Section Medium-sized Section 17:Earth and planetary science and related fields
Research InstitutionKyushu University

Principal Investigator

Hada Tohru  九州大学, 総合理工学研究院, 教授 (30218490)

Project Period (FY) 2019-06-28 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥6,240,000 (Direct Cost: ¥4,800,000、Indirect Cost: ¥1,440,000)
Fiscal Year 2021: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2020: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2019: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywordsレビ過程 / 宇宙線輸送 / 宇宙線加速 / 高エネルギー粒子 / 異常拡散 / 宇宙プラズマ / 異常輸送 / フラクショナル微分
Outline of Research at the Start

宇宙プラズマ中ではプラズマと電磁場のマクロな揺らぎを介した相互作用が重要である。特に高エネルギー粒子では、軌道は通常のブラウン運動ではなく、一つの場所に停滞したり、長距離をほぼ直線的に移動したりするような「レビ過程」として記述できる。このような粒子集団の拡散は通常の古典拡散方程式ではなく、フラクショナル微分(非整数階微分)を含むフラクショナル拡散方程式となる。この方程式の数値計算と理論解析をもとに、レビ過程に基づく新しい宇宙プラズマ物理のパラダイムを構築する。

Outline of Final Research Achievements

The motion of energetic particles (cosmic rays) in space can be described as a Levy process, in which the particles are trapped by plasma turbulence and stagnate or travel long distances almost ballistically without the influence of the turbulence. The diffusion of such non-Brownian particles can be described using the fractional diffusion equation (FDE), which includes the fractional time or spatial derivatives. Theoretical and numerical discussions were made on the relationship between the turbulence statistics and the particle statistics, numerical analysis of the FDEs, diffusive shock acceleration of the cosmic rays in the FDE systems, and the cosmic ray acceleration by multiple shock waves.

Academic Significance and Societal Importance of the Research Achievements

宇宙プラズマ中の高エネルギー粒子はレビ過程に基づく記述が妥当であるが、モデルの取り扱いの難しさのため、古典拡散の枠組みを適用して議論することが殆どであった。本研究は、レビ過程やフラクショナル発展方程式などの新概念をベースとして宇宙プラズマ物理の枠組みを再考する新しい試みであり学術的に意義深い。また、結晶中の電子運動等のミクロ現象、宇宙空間での小天体のマクロ運動、さらには数理ファイナンス分野など、多くの分野でレビ過程の概念を用いた議論がなされている。微分方程式の数値解析法についての情報交換など、分野を超えた学術的貢献が期待される。

Report

(4 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Research-status Report
  • 2019 Research-status Report
  • Research Products

    (25 results)

All 2022 2021 2020 2019

All Journal Article (9 results) (of which Int'l Joint Research: 6 results,  Peer Reviewed: 9 results,  Open Access: 5 results) Presentation (16 results) (of which Int'l Joint Research: 10 results,  Invited: 4 results)

  • [Journal Article] On validity of quasi-linear theory for non-resonant pitch-angle diffusion by finite amplitude parallel propagating Alfven waves2022

    • Author(s)
      Y. Nariyuki, M. Sasaki, T. Hada
    • Journal Title

      Physics of Plasmas

      Volume: 29 Issue: 3 Pages: 034501-034501

    • DOI

      10.1063/5.0079286

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Trajectory Analysis of Galactic Cosmic Rays Invading into the Heliosphere2021

    • Author(s)
      Y. Yoshida, S. Matsukiyo, K. Shimokawa, H. Washimi, T. Hada
    • Journal Title

      Astrophysical Journal

      Volume: 916 Issue: 1 Pages: 1538-1546

    • DOI

      10.3847/1538-4357/ac02c2

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Inner radiation belt simulations of the proton flux response in the South Atlantic Anomaly during the Geomagnetic Storm of 15 May 20052021

    • Author(s)
      K. Girgis, T. Hada, S. Matsukiyo, A. Yoshikawa
    • Journal Title

      Journal of Space Weather and Space Climate

      Volume: 11 Pages: 48-48

    • DOI

      10.1051/swsc/2021031

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Seasonal variation and geomagnetic storm index effects on the proton flux response in the South Atlantic Anomaly by test particle simulations2021

    • Author(s)
      K. Girgis, T. Hada, S. Matsukiyo, A. Yoshikawa
    • Journal Title

      Journal of Atmospheric and Solar-Terrestrial Physics

      Volume: 228 Pages: 105808-105808

    • DOI

      10.1016/j.jastp.2021.105808

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] PIC Simulation of a Shock Tube: Implications for Wave Transmission in the Heliospheric Boundary Region2020

    • Author(s)
      S. Matsukiyo, T. Noumi, G. P. Zank, H. Washimi, T. Hada
    • Journal Title

      The Astrophysical Journal

      Volume: 888 Issue: 1 Pages: 1-9

    • DOI

      10.3847/1538-4357/ab54c9

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Solar wind parameter and seasonal variation effects on the South Atlantic Anomaly using Tsyganenko Models2020

    • Author(s)
      Girgis Kirolosse M.、Hada Tohru、Matsukiyo Shuichi
    • Journal Title

      Earth, Planets and Space

      Volume: 72 Issue: 1 Pages: 1-17

    • DOI

      10.1186/s40623-020-01221-2

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Reconstruction of Time Series Observed in Linear Magnetized Plasma PANTA via a Machine Learning Algorithm2019

    • Author(s)
      Y. Nariyuki, M. Sasaki, T. Hada, S. Inagaki
    • Journal Title

      Plasma and Fusion Research

      Volume: 14 Issue: 0 Pages: 1301157-1301157

    • DOI

      10.1585/pfr.14.1301157

    • NAID

      130007740786

    • ISSN
      1880-6821
    • Year and Date
      2019-10-09
    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] PIC Simulation of a quasi-parallel collisionless shock: Interaction between upstream waves and backstreaming ions2019

    • Author(s)
      F. Otsuka, S. Matsukiyo, T. Hada
    • Journal Title

      High Energy Density Physics

      Volume: 33 Pages: 1-10

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Heavy Ion Acceleration by Super-Alfvenic Waves2019

    • Author(s)
      S. Matsukiyo, T. Akamizu, T. Hada
    • Journal Title

      Astrophysical Journal Letters

      Volume: 887 Issue: 1 Pages: 1-4

    • DOI

      10.3847/2041-8213/ab58cf

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Presentation] Effects of heliospheric structures on trajectories and statistics of galactic cosmic rays2021

    • Author(s)
      K. Yoshida, S. Matsukiyo, H. Washimi, T. Hada
    • Organizer
      AAPPS-DPP2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Pitch angle distributions of electrons <30keV during dipolarization at Earth's tailside: Energy dependence of field-aligned anisotropy2021

    • Author(s)
      K. Wang, C-H Lin, Z-R Lang, T. Hada, T. Nishimura
    • Organizer
      AAPPS-DPP2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Effect of whistler waves on electron bounce motion in the Earth's magnetotail2021

    • Author(s)
      F. Otsuka, K. Wang, K. Girgis, T. Hada
    • Organizer
      SGEPSS 2021
    • Related Report
      2021 Annual Research Report
  • [Presentation] 銀河宇宙線の振る舞いにおける 太陽圏境界の役割に関する数値シミュレーション研究2021

    • Author(s)
      吉田 光太郎, 松清 修一, 鷲見 治一 , 羽田 亨
    • Organizer
      SGEPSS 2021
    • Related Report
      2021 Annual Research Report
  • [Presentation] 対向伝搬する大振幅アルフベ ン波による相対論的粒子加速2021

    • Author(s)
      高橋 健太 , 諌山 翔伍 , 羽田 亨 , 松清 修一
    • Organizer
      SGEPSS 2021
    • Related Report
      2021 Annual Research Report
  • [Presentation] Electron Energization during Dipolarization Events: Test Particle Simulations2021

    • Author(s)
      K. Girgis, T. Hada, F. Otsuka, K. Wang
    • Organizer
      JpGU2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Numerical Proton Flux Response in South Atlantic Anomaly during Geomagnetic Storm2021

    • Author(s)
      K. Girgis, T. Hada, S. Matsukiyo, A. Yoshikawa
    • Organizer
      JpGU2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Energy dependence of field-aligned anisotropy of electrons during dipolarization at Earth's tailside2021

    • Author(s)
      K. Wang, C-H Lin, Z-R Lang, T. Hada, T. Nishimura
    • Organizer
      JpGU2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Numerical simulation on invasion process of galactic cosmic rays into the heliosphere: Particle orbits and statistics2021

    • Author(s)
      K. Yoshida, S. Matsukiyo, H. Washimi, T. Hada
    • Organizer
      JpGU2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Interaction between whistler waves and electrons at Earth's magnetotail: Test particle simulation and THEMIS observation2021

    • Author(s)
      F. Otsuka, K. Wang, K. Girgis, T. Hada
    • Organizer
      JpGU2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Intermediate shocks: real or imaginary?2020

    • Author(s)
      T. Hada
    • Organizer
      AAPPS-DPP2020
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Outstanding issues in plasma Riemann problem2020

    • Author(s)
      T. Hada
    • Organizer
      JpGU2020
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Correlations between plasma density and magnetic field strength in MHD turbulence in space2019

    • Author(s)
      T. Hada, Y. Narita, Y. Nariyuki
    • Organizer
      Japan Geophysical Union
    • Related Report
      2019 Research-status Report
  • [Presentation] 非ガウス統計にしたがうプラズマの現象論的記述について2019

    • Author(s)
      羽田 亨
    • Organizer
      地球電磁気・地球惑星圏学会
    • Related Report
      2019 Research-status Report
  • [Presentation] 畳み込みニューラルネットワーク(CNNs)を用いたショックレットの識別モデル開発2019

    • Author(s)
      田中 孝佳、羽田 亨、松清 修一
    • Organizer
      地球電磁気・地球惑星圏学会
    • Related Report
      2019 Research-status Report
  • [Presentation] Anomalous transport and acceleration of cosmic rays in the presence of MHD turbulence2019

    • Author(s)
      T. Hada
    • Organizer
      AAPPS-DPP (Asia Pacific Conference on Plasma Physics)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited

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Published: 2019-07-04   Modified: 2023-01-30  

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