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Theoretical study of explosvie collapse mechanism in high-temperature plasmas by using a variational approach to multi-scale dynamical system

Research Project

Project/Area Number 25800308
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Plasma science
Research InstitutionTohoku University

Principal Investigator

HIROTA Makoto  東北大学, 流体科学研究所, 助教 (40432900)

Research Collaborator Morrison Philip J.  University of Texas at Austin, Professor
HATTORI Yuji  東北大学, 流体科学研究所, 教授 (70261469)
Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywords二流体プラズマ / 磁気リコネクション / 爆発的不安定性 / 変分原理 / 拡張電磁流体力学 / 変分法 / 多階層系 / 爆発的崩壊 / 多階層性 / 電磁流体力学
Outline of Final Research Achievements

A mechanism for explosive magnetic reconnection in high-temperature plasma is investigated by analyzing the nonlinear evolution of a tearing instability in a two-fluid model that includes the effects of electron inertia and temperature. A high-resolution simulation of this model shows an explosive tendency for the nonlinear growth, where it is newly found that the explosive widening of the X-shaped current layer occurs locally around the reconnection point. The reason for the onset of this locally enhanced reconnection is explained theoretically by developing a novel nonlinear variational method. The theoretical model proves that the local reconnection can release the magnetic energy more efficiently than the global one and the estimated scaling of the explosive growth rate agrees well with the simulation results.

Report

(4 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (17 results)

All 2016 2015 2014 2013 Other

All Int'l Joint Research (1 results) Journal Article (5 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 5 results,  Acknowledgement Compliant: 2 results) Presentation (10 results) (of which Int'l Joint Research: 2 results,  Invited: 1 results) Book (1 results)

  • [Int'l Joint Research] テキサス大学オースティン校(米国)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Explosive magnetic reconnection caused by an X-shaped current-vortex layer in a collisionless plasma2015

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

      Physics of Plasmas

      Volume: 22 Issue: 5 Pages: 052114-052114

    • DOI

      10.1063/1.4921329

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Magnetohydrodynamic instability excited by interplay between a resistive wall mode and stable ideal magnetohydrodynamic modes in rotating tokamak plasmas2015

    • Author(s)
      Nobuyuki Aiba, Makoto Hirota
    • Journal Title

      Physics of Plasmas

      Volume: 22 Issue: 8 Pages: 082512-082512

    • DOI

      10.1063/1.4928892

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Excitation of Flow-Stabilized Resistive Wall Mode by Coupling with Stable Eigenmodes in Tokamaks2015

    • Author(s)
      Nobuyuki Aiba, Makoto Hirota
    • Journal Title

      Physcal Review Letters

      Volume: 114 Issue: 6 Pages: 065001-065001

    • DOI

      10.1103/physrevlett.114.065001

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Variational Necessary and Sufficient Stability Conditions for Inviscid Shear Flow2014

    • Author(s)
      M. Hirota, P. J. Morrison and Y. Hattori
    • Journal Title

      Proceedings of the Royal Society A

      Volume: 470 Issue: 2172 Pages: 20140322-20140322

    • DOI

      10.1098/rspa.2014.0322

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [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: 6 Pages: 63024-63024

    • DOI

      10.1088/0029-5515/53/6/063024

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] 連続成層シア流の線形不安定化メカニズムと安定性のため十分条件2016

    • Author(s)
      廣田 真, Philip J. Morrison
    • Organizer
      日本物理学会 第71回年次大会
    • Place of Presentation
      東北学院大学(宮城・仙台)
    • Year and Date
      2016-03-21
    • Related Report
      2015 Annual Research Report
  • [Presentation] 二流体効果がもたらすテアリングモードの爆発的成長 ~X型の電流・渦シート構造の形 成とスケーリング則について~2015

    • Author(s)
      廣田 真
    • Organizer
      平成27年度NIFS共同研究研究会「電磁モデルによるプラズマ中の不安定性・乱流に 関する理論・シミュレーション」
    • Place of Presentation
      核融合科学研究所(岐阜・多治見)
    • Year and Date
      2015-12-17
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Variational approach to stability boundary for the Taylor-Goldstein equation2015

    • Author(s)
      Makoto Hirota, Philip J. Morrison
    • Organizer
      68th Annual Meeting of the APS Division of Fluid Dynamics
    • Place of Presentation
      Hynes Convention Center, Boston
    • Year and Date
      2015-11-23
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Variational Stability Criteria for Stratified Shear Flows2015

    • Author(s)
      Makoto Hirota, Philip J. Morrison
    • Organizer
      12th International Conference on Flow Dynamics
    • Place of Presentation
      仙台国際センター(宮城・仙台)
    • Year and Date
      2015-10-29
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 交流ループ電圧による抵抗性プラズマへの磁気ヘリシティ入射効率2015

    • Author(s)
      廣田 真, Wendell Horton, Philip J. Morrison
    • Organizer
      日本物理学会2015年秋季大会
    • Place of Presentation
      関西大学(大阪・吹田)
    • Year and Date
      2015-09-16
    • Related Report
      2015 Annual Research Report
  • [Presentation] Nonlinear analysis of explosive growth of collisionless magnetic reconnection in the presence of the effect of finite electron temperature2014

    • Author(s)
      M. Hirota, Y. Hattori
    • Organizer
      56th Annual Meeting of the APS Division of Plasma Physics
    • Place of Presentation
      Marriott Hotel, New Orleans, USA
    • Year and Date
      2014-10-29
    • Related Report
      2014 Research-status Report
  • [Presentation] 平行シア流の安定性の必要十分条件に対する変分法的アプローチ

    • Author(s)
      廣田 真
    • Organizer
      日本物理学会 2013年秋季大会
    • Place of Presentation
      徳島大学(徳島)
    • Related Report
      2013 Research-status Report
  • [Presentation] Variational analysis of linear stability of flowing equilibria based on action-angle representation

    • Author(s)
      M. Hirota, P. J. Morrison and Y. Hattori
    • Organizer
      55th Annual Meeting of the APS Division of Plasma Physics
    • Place of Presentation
      Sheraton Denver Downtown Hotel, Denver, US
    • Related Report
      2013 Research-status Report
  • [Presentation] Variational Approach to Necessary and Sufficient Stability Conditions for Inviscid Shear Flow

    • Author(s)
      M. Hirota, P. J. Morrison and Y. Hattori
    • Organizer
      10th International Conference on Flow Dynamics
    • Place of Presentation
      仙台国際センター(仙台)
    • Related Report
      2013 Research-status Report
  • [Presentation] 有限電子温度効果が介在する爆発的磁気リコネクション

    • Author(s)
      廣田 真、服部 裕司
    • Organizer
      日本物理学会 第69回年次大会
    • Place of Presentation
      東海大学(平塚)
    • Related Report
      2013 Research-status Report
  • [Book] Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations2013

    • Author(s)
      Y. Fukumoto, M. Hirota and Y. Mie
    • Total Pages
      448
    • Publisher
      Wiley-ISTE
    • Related Report
      2013 Research-status Report

URL: 

Published: 2014-07-25   Modified: 2022-01-27  

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