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Hamiltonian study of infinite-dimensional mode couplings in non-uniform plasmas

Research Project

Project/Area Number 22740369
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Plasma science
Research InstitutionJapan Atomic Energy Agency

Principal Investigator

HIROTA Makoto  独立行政法人日本原子力研究開発機構, 核融合研究開発部門, 任期付研究員 (40432900)

Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywordsプラズマ物理 / ハミルトン力学 / 磁気リコネクション / 無限自由度力学系 / 特異摂動 / マルチスケール / 二流体プラズマ / 変分原理 / 作用・角変数 / 断熱不変量 / 連続スペクトル / 非線形モード間結合 / 磁気流体力学
Research Abstract

Toward understanding the formation mechanisms of non-uniform spatial structures in astrophysical and laboratory plasmas, general mode-coupling theory is developed for global (or long wavelength) fluctuations, for which the conventional local (or short wavelength) approximation is not valid. By developing new mathematical techniques that base on the theory of infinite-dimensional Hamiltonian system, the global mode-coupling, which may include continuous spectrum, is successfully formulated and it is applied to specific phenomena.

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (35 results)

All 2013 2012 2011 2010 Other

All Journal Article (14 results) (of which Peer Reviewed: 11 results) Presentation (20 results) Remarks (1 results)

  • [Journal Article] Nonlinear variational method for predicting fast collisionless magnetic reconnection2013

    • Author(s)
      M. Hirota, P. J. Morrison, Y. Ishii, M. Yagi and N. Aiba
    • Journal Title

      Nuclear Fusion

      Volume: 53 Issue: 7 Pages: 63024-63024

    • DOI

      10.1088/0029-5515/51/7/073012

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Nonlinear variational method for predicting fast collisionless magnetic reconnection2013

    • Author(s)
      Makoto Hirota, Philip J. Morrison, Yasutomo Ishii, Masatoshi Yagi, Nobuyuki Aiba
    • Journal Title

      Nuclear Fusion

      Volume: -

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonlinear Acceleration Mechanism of Collisionless Magnetic Reconnection2012

    • Author(s)
      Makoto Hirota, Philip J. Morrison, Yasutomo Ishii, Masatoshi Yagi, Nobuyuki Aiba
    • Journal Title

      Proceedings of the 24th IAEA Fusion Energy Conference

      Volume: -

    • Related Report
      2012 Annual Research Report
  • [Journal Article] 変分原理を用いた無衝突磁気リコネクションの解析2012

    • Author(s)
      廣田真, Philip J.Morrison
    • Journal Title

      数理解析研究所講究録

      Volume: 1776 Pages: 115-125

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Variational approach to multi-scale system-an application to collisionless magnetic reconnection-2012

    • Author(s)
      Makoto Hirota, Philip J.Morrison
    • Journal Title

      COE Lecture Note

      Volume: 39 Pages: 102-110

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Significant effect of plasma compressibility on nonlinear mode coupling of Alfven eigenmodes2011

    • Author(s)
      M. Hirota and N. Aiba
    • Journal Title

      Nuclear Fusion

      Volume: 51 Issue: 7 Pages: 73037-73037

    • DOI

      10.1088/0029-5515/51/7/073037

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Variational formulation for weakly nonlinear perturbations of ideal magnetohydrodynamics2011

    • Author(s)
      M. Hirota
    • Journal Title

      Journal of Plasma Physics

      Volume: 77 Issue: 5 Pages: 589-615

    • DOI

      10.1017/s0022377810000760

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Variational formulation for weakly nonlinear perturbations of ideal magnetohydrodynamics2011

    • Author(s)
      Makoto Hirota
    • Journal Title

      Journal of Plasma Physics

      Volume: Vol.77(FirstView)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Destabilization mechanism of edge localized MHD mode by a toroidal rotation in tokamaks2010

    • Author(s)
      N. Aiba, M. Furukawa, M. Hirota and S. Tokuda
    • Journal Title

      Nuclear Fusion

      Volume: 50 Issue: 4 Pages: 45002-45002

    • DOI

      10.1088/0029-5515/50/4/045002

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Lagrangian approach to weakly nonlinear stability of elliptical flow2010

    • Author(s)
      Y. Fukumoto, M. Hirota and Y. Mie
    • Journal Title

      Physica Scripta

      Volume: T142 Pages: 14049-14049

    • DOI

      10.1088/0031-8949/2010/t142/014049

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Wave-action conservation law for eigenmodes and continuum modes2010

    • Author(s)
      M. Hirota and S. Tokuda
    • Journal Title

      Physics of Plasmas

      Volume: 17 Issue: 8 Pages: 82109-82109

    • DOI

      10.1063/1.3475793

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Action-angle represent -tation of waves and instabilities in flowing plasmas2010

    • Author(s)
      M. Hirota
    • Journal Title

      Journal of Plasma Fusion Research Series

      Volume: 9 Pages: 463-470

    • URL

      http://www.jspf.or.jp/JPFRS/index_vol9-4.html

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Action-angle representation of waves and instabilities in flowing plasmas2010

    • Author(s)
      Makoto Hirota
    • Journal Title

      Journal of Plasma Fusion Research SERIES

      Volume: Vol.9 Pages: 463-470

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Wave-action conservation law for eigenmodes and continuum modes2010

    • Author(s)
      Makoto Hirota, Shinji Tokuda
    • Journal Title

      Physics of Plasmas

      Volume: Vol.17 Pages: 82109-82109

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] 無衝突磁気リコネクションの加速機構における電子温度効果の役割2013

    • Author(s)
      廣田真、P. J. Morrison、石井康友、矢木雅敏、相羽信行
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島県東広島広島大学
    • Year and Date
      2013-03-26
    • Related Report
      2012 Final Research Report
  • [Presentation] 無衝突磁気リコネクションの加速機構における電子温度効果の役割2013

    • Author(s)
      廣田真、Philip J. Morrison、石井康友、矢木雅敏、相羽信行
    • Organizer
      日本物理学会 第68回年次大会
    • Place of Presentation
      広島大学東広島キャンパス
    • Related Report
      2012 Annual Research Report
  • [Presentation] エネルギー原理を用いた無衝突磁気リコネクションの非線形解析2012

    • Author(s)
      廣田真、P. J. Morrison、石井康友、矢木雅敏
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      兵庫県西宮市 関西学院大学
    • Year and Date
      2012-03-24
    • Related Report
      2012 Final Research Report
  • [Presentation] エネルギー原理を用いた無衝突磁気リコネクションの非線形解析2012

    • Author(s)
      廣田真, Philip J.Morrison, 石井康友, 矢木雅敏
    • Organizer
      第67回日本物理学会年次大会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] 無衝突プラズマの変分原理を応用した磁気リコネクションの非線形解析2012

    • Author(s)
      廣田真, Philip J.Morrison
    • Organizer
      第61回理論応用力学講演会
    • Place of Presentation
      東京大学生産技術研究所
    • Year and Date
      2012-03-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] Lagrangian approach to weakly and strongly nonlinear stability analyses of fluid models2012

    • Author(s)
      M. Hirota
    • Organizer
      BIRS Workshop on Spectral Analysis, Stability and Bifurcation in Modern Nonlinear Physical Systems, Banff International Research Station
    • Place of Presentation
      Banff, Canada
    • Related Report
      2012 Final Research Report
  • [Presentation] Nonlinear acceleration mechanism of collisionless magnetic reconnection2012

    • Author(s)
      M. Hirota, P. J. Morrison, Y. Ishii, M. Yagi and N. Aiba
    • Organizer
      24th IAEA Fusion Energy Conference, Hilton San Diego Bayfront Hotel
    • Place of Presentation
      SanDiego, USA
    • Related Report
      2012 Final Research Report
  • [Presentation] Variational method for estimating nonlinear acceleration of collisionless magnetic reconnection2012

    • Author(s)
      M. Hirota, P. J. Morrison, Y. Ishii, M. Yagi and N. Aiba
    • Organizer
      IUTAM Symposium on Topological Fluid Dynamics, Isaac Newton Institute
    • Place of Presentation
      Cambridge
    • Related Report
      2012 Final Research Report
  • [Presentation] Variational method for estimating nonlinear acceleration of collisionless magnetic reconnection2012

    • Author(s)
      Makoto Hirota, Philip J. Morrison, Yasutomo Ishii, Masatoshi Yagi, Nobuyuki Aiba
    • Organizer
      IUTAM Symposium on Topological Fluid Dynamics
    • Place of Presentation
      ケンブリッジ大学(英国)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Nonlinear acceleration mechanism of collisionless magnetic reconnection2012

    • Author(s)
      Makoto Hirota, Philip J. Morrison, Yasutomo Ishii, Masatoshi Yagi, Nobuyuki Aiba
    • Organizer
      24th IAEA Fusion Energy Conference
    • Place of Presentation
      サンディエゴ(米国)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Lagrangian approach to weakly and strongly nonlinear stability analyses of fluid models2012

    • Author(s)
      Makoto Hirota
    • Organizer
      BIRS Workshop on Spectral Analysis, Stability and Bifurcation in Modern Nonlinear Physical Systems
    • Place of Presentation
      バンフ国際研究所(カナダ)
    • Related Report
      2012 Annual Research Report
  • [Presentation] 流れをもつプラズマの連続スペクトルに対する作用・角変数理論 (若手奨励賞受賞記念講演)2011

    • Author(s)
      廣田真
    • Organizer
      Plasma Conference 2011
    • Place of Presentation
      石川県金沢市 石川県立音楽堂
    • Year and Date
      2011-11-22
    • Related Report
      2012 Final Research Report
  • [Presentation] 流れをもつプラズマの連続スペクトルに対する作用・角変数理論2011

    • Author(s)
      廣田真
    • Organizer
      Plasma Conference 2011
    • Place of Presentation
      石川県立音楽堂(招待講演)
    • Year and Date
      2011-11-22
    • Related Report
      2011 Annual Research Report
  • [Presentation] Variational approach to collisionless magnetic reconnection2011

    • Author(s)
      Makoto Hirota, Philip J.Morrison
    • Organizer
      第53回アメリカ物理学会プラズマ分科会
    • Place of Presentation
      ソルトレークシティ
    • Year and Date
      2011-11-14
    • Related Report
      2011 Annual Research Report
  • [Presentation] Variational approach to collisionless magnetic reconnection2011

    • Author(s)
      M. Hirota and P. J. Morrison
    • Organizer
      53rd Annual Meeting of the APS Division of Plasma Physics, Salt Palace Convention Center
    • Place of Presentation
      Salt Lake City, USA
    • Related Report
      2012 Final Research Report
  • [Presentation] 電磁流体方程式の変分原理に基づいた非線形モード間相互作用の定式化2010

    • Author(s)
      廣田真
    • Organizer
      RIMS研究集会「オイラー方程式の数理:力学と変分原理250年」
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Year and Date
      2010-07-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] Weakly nonlinear analysis of Alfven eigenmodes2010

    • Author(s)
      M. Hirota and N. Aiba
    • Organizer
      20th International Toki Conference
    • Place of Presentation
      Toki, Japan
    • Related Report
      2012 Final Research Report
  • [Presentation] Lagrangian approach to resonant three-mode interaction in magnetohydrodynamics2010

    • Author(s)
      M. Hirota
    • Organizer
      23rd IAEA Fusion Energy Conference, Daejeon Convention Center
    • Place of Presentation
      Daejeon, South Korea
    • Related Report
      2012 Final Research Report
  • [Presentation] Lagrangian approach to resonant three-mode interaction in Magnetohydrodynamics2010

    • Author(s)
      Makoto Hirota
    • Organizer
      23^<rd> LAEA Fusion Energy Conference
    • Place of Presentation
      大田広域市(韓国)
    • Related Report
      2010 Annual Research Report
  • [Presentation] Weakly nonlinear analysis of Alfven eigenmodes2010

    • Author(s)
      Makoto Hirota, Nobuyuki Aiba
    • Organizer
      20^<th> International Toki Conference
    • Place of Presentation
      土岐市(岐阜県)
    • Related Report
      2010 Annual Research Report
  • [Remarks] Nuclear Fusion誌に投稿中の論文

    • URL

      http://arxiv.org/abs/1301.3196

    • Related Report
      2012 Annual Research Report

URL: 

Published: 2010-08-23   Modified: 2019-07-29  

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