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Statistical Mechanics and Dynamics of Quasi-stationary States

Research Project

Project/Area Number 19760052
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Engineering fundamentals
Research InstitutionKyoto University

Principal Investigator

YAMAGUCHI Yoshiyuki (YAMAGUCHI Y. yoshiyuki)  Kyoto University, 大学院・情報学研究科, 助教 (40314257)

Project Period (FY) 2007 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥4,020,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥720,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥900,000 (Direct Cost: ¥900,000)
Keywords準定常状態 / 統計力学 / 運動論 / 長距離相互作用 / ブラソフ方程式 / 空間非一様分布 / 摂動論 / ランダウ減衰 / ハミルトン力学系 / 非平衡統計力学 / 相転移 / Lynden-Bell統計 / 準周期状態 / Landau減衰
Research Abstract

A system consisting of many elements goes to thermal equilibrium by temporal evolution. Thermal equilibrium is an object of theories for heat engines, and hence it is important for applications. However, a system with long-range interactions is frequently trapped at so-called a quasi-stationary state before reaching thermal equilibrium, and hence it is important to understand and describe the quasi-stationary states. This research project gives contribution to a nonequilibrium statistical mechanics for predicting the quasi-stationary states theoretically, and to a kinetic theory for describing dynamics of such a system.

Report

(6 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report   Self-evaluation Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (35 results)

All 2011 2010 2009 2008 2007 Other

All Journal Article (15 results) (of which Peer Reviewed: 15 results) Presentation (15 results) Remarks (5 results)

  • [Journal Article] Dynamics of perturbations around inhomogeneous backgrounds in the HMF model2010

    • Author(s)
      J.Barre, A.Olivetti, Y.Y.Yamaguchi
    • Journal Title

      J.Stat.Mech P08002

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Dynamics of perturbations around inhomogeneous backgrounds in the HMF model2010

    • Author(s)
      J.Barre', A.Olivetti, Y.Y.Yamaguchi
    • Journal Title

      J.Stat.Mech.

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Analytical results of the magnetization of the Hamiltonian mean-field model2009

    • Author(s)
      R.Bachelard, C.Chandre, A.Ciani, D.Fanelli, Y.Y.Yamaguchi
    • Journal Title

      Phys.Lett.A 373巻

      Pages: 4239-4245

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Small traveling clusters in attractive and repulsive Hamiltonian mean-field models2009

    • Author(s)
      J.Barre, Y.Y.Yamaguchi
    • Journal Title

      Phys.Rev.E 79巻

      Pages: 36208-36208

    • NAID

      120005676690

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Analytical results on the magnetization of the Hamiltonian mean-field model2009

    • Author(s)
      R. Bachelard, C. Chandre, A. Ciani, D. Fanelli, Y.Y. Yamaguchi
    • Journal Title

      Phys. Lett. A 373

      Pages: 4239-4245

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Small traveling clusters in attractive and repulsive Hamiltonian mean-field models2009

    • Author(s)
      J. Barre, Y.Y. Yamaguchi
    • Journal Title

      Phys. Rev. E 79

      Pages: 36208-36208

    • NAID

      120005676690

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Analytical results on the magnetization of the Hamiltonian mean-field model2009

    • Author(s)
      R.Bachelard, C.Chandre, A.Ciani, D.Fanelli, Y.Y.Yamaguchi
    • Journal Title

      Phys.Lett.A 373

      Pages: 4239-4245

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Small traveling clusters in attractive and repulsive Hamiltonian mean-field models2009

    • Author(s)
      Julien Barre and Yoshiyuki Y. Yamaguchi
    • Journal Title

      Physical Review E 79

      Pages: 36208-36208

    • NAID

      120005676690

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] One-dimensional self-gravitating sheet model and Lynden-Bell statistics2008

    • Author(s)
      Y.Y.Yamaguchi
    • Journal Title

      Phys.Rev.E 78巻

      Pages: 41114-41114

    • NAID

      120005676691

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] One-dimensional self-gravitating sheet model and Lynden-Bell statistics2008

    • Author(s)
      Y.Y. Yamaguchi
    • Journal Title

      Phys. Rev. E 78

      Pages: 41114-41114

    • NAID

      120005676691

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] One-dimensional self-gravitating sheet model and Lynden-Bell statistics2008

    • Author(s)
      Yoshiyuki Y. Yamaguchi
    • Journal Title

      Physical Review E 78

      Pages: 41114-41114

    • NAID

      120005676691

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonequilibrium tricritical point in a system with long-range interactions2007

    • Author(s)
      A.Antoniazzi, D.Fanelli, S.Ruffo, Y.Y.Yamaguchi
    • Journal Title

      Phys.Rev.Lett. 99巻

      Pages: 40601-40601

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Nonequilibrium tricritical point in a system with long-range interactions2007

    • Author(s)
      A. Antoniazzi, D. Fanelli, S. Ruffo, Y.Y. Yamaguchi
    • Journal Title

      Phys. Rev. Lett. 99

      Pages: 40601-40601

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Nonequilibrium tricritical point in a system with long-range interactions2007

    • Author(s)
      A. Antoniazzi, et. al.
    • Journal Title

      Phys. Rev. Lett. 99

      Pages: 40601-40601

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Construction of traveling clusters in the Hamiltonian mean-field model by nonequilibrium statistical mechanics and BGK waves

    • Author(s)
      Y.Y.Yamaguchi
    • Journal Title

      Phys.Rev.E (掲載決定)

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Presentation] 空間1次元系の漸近的緩和2011

    • Author(s)
      山口義幸
    • Organizer
      日本物理学会
    • Place of Presentation
      新潟大学
    • Year and Date
      2011-03-28
    • Related Report
      2010 Final Research Report
  • [Presentation] 空間1次元系の漸近的緩和2011

    • Author(s)
      山口義幸, J.Barre', A.Olivetti
    • Organizer
      日本物理学会第66回年次大会
    • Place of Presentation
      新潟大学
    • Year and Date
      2011-03-28
    • Related Report
      2010 Annual Research Report
  • [Presentation] HMF系における空間非一様背景場上の摂動のダイナミクス2010

    • Author(s)
      山口義幸
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-23
    • Related Report
      2010 Final Research Report
  • [Presentation] HMF系における空間非一様背景場上の摂動のダイナミクス2010

    • Author(s)
      山口義幸, J.Barre', A.Olivetti
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-23
    • Related Report
      2010 Annual Research Report
  • [Presentation] Dynamics of perturbation around inhomogeneous backgrounds in the HMF model2010

    • Author(s)
      Y.Y.Yamaguchi
    • Organizer
      Dynamics Days Asia Pacific 6
    • Place of Presentation
      University of New South Wales (Sydney, Australia)
    • Year and Date
      2010-07-13
    • Related Report
      2010 Final Research Report
  • [Presentation] Dynamics of perturbation around inhomogeneous backgrounds in the HMF model2010

    • Author(s)
      山口義幸, J.Barre', A.Olivetti
    • Organizer
      Dynamics Days Asia Pacific 6
    • Place of Presentation
      University of New South Wales, Sydney, Australia(招待講演)
    • Year and Date
      2010-07-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] 長距離相互作用ハミルトン系におけるクラスター解析2010

    • Author(s)
      山口義幸
    • Organizer
      理論応用力学講演会
    • Place of Presentation
      日本学術会議
    • Year and Date
      2010-06-08
    • Related Report
      2010 Final Research Report
  • [Presentation] 長距離相互作用ハミルトン系におけるクラスター解析2010

    • Author(s)
      山口義幸
    • Organizer
      第59回理論応用力学講演会
    • Place of Presentation
      日本学術会議(招待講演)
    • Year and Date
      2010-06-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] 多自由度ハミルトン系における不変多様体を用いた遷移率の計算2009

    • Author(s)
      山口義幸
    • Organizer
      数学連携サロン
    • Place of Presentation
      北海道大学電子科学研究所
    • Year and Date
      2009-05-20
    • Related Report
      2009 Annual Research Report
  • [Presentation] 引力系および斥力系における移動型クラスター解析2009

    • Author(s)
      山口義幸
    • Organizer
      日本物理学会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-28
    • Related Report
      2010 Final Research Report
  • [Presentation] 引力系および斥力系におけるクラスター形成2009

    • Author(s)
      山口義幸, Julie Barre
    • Organizer
      日本物理学会
    • Place of Presentation
      立教大学池袋キャンパス
    • Year and Date
      2009-03-28
    • Related Report
      2008 Annual Research Report
  • [Presentation] 1次元重力シートモデルにおけるLynden-Bell統計2007

    • Author(s)
      山口義幸
    • Organizer
      日本物理学会
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-24
    • Related Report
      2010 Final Research Report
  • [Presentation] 1次元重力シートモデルにおけるLynden-Bell統計2007

    • Author(s)
      山口義幸
    • Organizer
      日本物理学会第62回年次大会
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-24
    • Related Report
      2007 Annual Research Report
  • [Presentation] Out-of-equilibrium statistical mechanics in a Hamiltonian system with long-range interactions2007

    • Author(s)
      Y.Y.Yamaguchi
    • Organizer
      Un/ESA/NASA Workshop on Basic Space Science and the International Heliophysical Year 2007
    • Place of Presentation
      国立天文台
    • Year and Date
      2007-06-21
    • Related Report
      2010 Final Research Report
  • [Presentation] Out-of-equilibrium statistical mechanics in a Hamiltonian system with long-range interactions2007

    • Author(s)
      Y.Y. Yamaguchi
    • Organizer
      UN/ESA/NASA Workshop on Basic Space and the International Heliophysical Year 2007
    • Place of Presentation
      国立天文台(東京三鷹)
    • Year and Date
      2007-06-21
    • Related Report
      2009 Self-evaluation Report
  • [Remarks] ホームページ等

    • URL

      http://yang.amp.i.kyoto-u.ac.jp/~yyama/index-j.html

    • Related Report
      2010 Final Research Report
  • [Remarks]

    • URL

      http://yang.amp.i.kyoto-u.ac.jp/~yyama/research/papers.html

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://yang.amp.i.kyoto-u.ac.jp/~yyama/research/

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://vang.amp.ikvoto-u.ac.jp/-vvama/research/Dapers.html

    • Related Report
      2008 Annual Research Report
  • [Remarks] 研究成果に関するWebページ

    • URL

      http://yang.amp.i.kyoto-u.ac.jp/~yyama/research/papers.html

    • Related Report
      2007 Annual Research Report

URL: 

Published: 2007-04-01   Modified: 2016-04-21  

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