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Construction of non-equilibrium statistical mechanics for systems with long-range interactions

Research Project

Project/Area Number 18340114
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionKyoto University

Principal Investigator

SAKAGAMI Masaaki  Kyoto University, 大学院・人間・環境学研究科, 教授 (70202083)

Co-Investigator(Kenkyū-buntansha) TARUYA Atsushi  東京大学, 理学研究科, 助教 (40334239)
OKAMURA Takashi  関西学院大学, 理工学部, 准教授 (30351737)
Project Period (FY) 2006 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥8,800,000 (Direct Cost: ¥7,300,000、Indirect Cost: ¥1,500,000)
Fiscal Year 2009: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2008: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2007: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2006: ¥2,300,000 (Direct Cost: ¥2,300,000)
Keywords準定常状態 / ポリトロープ / 長距離相互作用 / 重力多体系 / 負の比熱 / Tsallisエントロピー / q-変形 / 長距離相互作用系 / 近距離相互作用系 / HMFモデル / 湯川ポテンシャル / ポリトロ-プ / q-変形パラダイム / HMFモデル. Tsallisエントロピ- / Fokker-Planck方程式 / 2次元HMFモデル / 変分原理
Research Abstract

We studied non-equilibrium evolution of the long-rang interacting systems, e.g. the self-gravitating N-body system, by means of the non-additive Tsallis entropy. It was shown that notion of polytrope is quite useful to describe transient evolution of the systems. And we succeeded to derive the evolution equation for polytropic index.

Report

(6 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report   Self-evaluation Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • Research Products

    (31 results)

All 2010 2009 2008 2007 2006

All Journal Article (20 results) (of which Peer Reviewed: 16 results) Presentation (11 results)

  • [Journal Article] Numerical Mideling of the Coagulation and Porosity Evolution of Dust Aggregate2009

    • Author(s)
      S. Okuzumi, T. Tanaka, M. Sakagami
    • Journal Title

      Astrophysical Journal 707

      Pages: 1247-1263

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 遷音速流でつくる「音のブラックホール」2009

    • Author(s)
      奥住聡, 富永真太郎, 阪上雅昭
    • Journal Title

      ながれ(日本流体力学会誌)小特集-地上の星 28(5)

      Pages: 391-398

    • NAID

      110007503821

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Probing-Non-tensorial Polarizations of Stochastic Gravitational-wave Backgroundwith Ground-based Laser Interferometers2009

    • Author(s)
      A.Nishizawa, A.Taruya, K.Hayama, S.Kawamura, M.Sakagami
    • Journal Title

      Physical Review D 79

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Numerical Modeling of the Coagulation and Porosity Evolution of Dust Aggregates2009

    • Author(s)
      S.Okuzumi, H.Tanaka, M.Sakagami
    • Journal Title

      Astrophysical Journal 707

      Pages: 1247-1263

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 遷音速流でつくる「音のブラックホール」2009

    • Author(s)
      奥住聡, 富永真太郎, 阪上雅昭
    • Journal Title

      ながれ (日本流体力学会誌) 28

      Pages: 391-398

    • NAID

      110007503821

    • Related Report
      2009 Annual Research Report
  • [Journal Article] 実験室でブラックホールをつくる:遷音速流を用いたブラックホールの模擬実験2008

    • Author(s)
      奥住聡, 阪上雅昭
    • Journal Title

      日本物理学会誌 63(11)

      Pages: 845-851

    • NAID

      110006990272

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Possible Duscovery of a Nonlinear Tail and Second-order Quasi-normal Modes in a Black Hole Ringdown2008

    • Author(s)
      S. Okuzumi, K. Ioka, M. Sakagami
    • Journal Title

      Physical Review D 77

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 実験室でブラックホ-ルをつくる : 遷音速流を用いたブラックホ-ルの模擬実験2008

    • Author(s)
      奥住聡, 阪上雅昭
    • Journal Title

      日本物理学会誌 63(11)

      Pages: 845-851

    • NAID

      110006990272

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Possible discovery of a nonlinear tail and quasinormal modes in black hole ringdown2008

    • Author(s)
      S. Okuzumi, K. Ioka, M. Sakagami
    • Journal Title

      Physical Review D 77

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 実験室でブラックホールをつくる : 遷音速流を用いたブラックホールの模擬実験2008

    • Author(s)
      奥住聡, 阪上雅昭
    • Journal Title

      日本物理学会誌 63(11)

      Pages: 845-851

    • NAID

      110006990272

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 自己重力系の非平衡物理2008

    • Author(s)
      阪上雅昭
    • Journal Title

      素粒子論研究 116(2)

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Quasinormal ringing of acoustic black holes in Laval nozzles: Numerical simulations2007

    • Author(s)
      S. Okuzumi, M. Sakagami
    • Journal Title

      Phys. Rev. D 76

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] ホーキング輻射の謎と遷音速流2007

    • Author(s)
      奥住聡, 阪上雅昭
    • Journal Title

      プラズマ核融合学会誌講座「高速プラズマ流と衝撃波の研究事始め」 83(4)

      Pages: 387-390

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Quasinormal ringing of acoustic black holes in Laval nozzles : Numerical simulations2007

    • Author(s)
      S. Okuzumi, M. Sakagami
    • Journal Title

      Phys. Rev. D

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Quantum Noise in Differential-type Gravitational-wave Interferometer and Signal Recycling2007

    • Author(s)
      A. Nishizawa, S. Kawamura and M. Sakagami
    • Journal Title

      Physical Review D 76

      Pages: 42002-42002

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quasinormal Ringing of Acoustic Black Holes in Laval Nozzles2007

    • Author(s)
      S. Okuzumi and M. Sakagami
    • Journal Title

      Physical Review D 76

      Pages: 84027-84027

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Description of quasi-equilibrium states in N-body self-gravitating systems2006

    • Author(s)
      A. Taruya, M. Sakagami
    • Journal Title

      Journal of Physics: Conference Series 31

      Pages: 55-58

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Description of quasi-equilibrium states in N-body self-gravitating systems2006

    • Author(s)
      A.Taruya, M.Sakagami
    • Journal Title

      Journal of Physics : Conference Series 31

      Pages: 55-58

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Description of Quasi-Equilibrium State in N-body Self-gravitating Systems2006

    • Author(s)
      A.Taruya, M.Sakagami
    • Journal Title

      Journal of Physics : Conference Series 31

      Pages: 55-58

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Quasi-Equilibrium Evolution in Self-Gravitating N-body Systems2006

    • Author(s)
      A.Taruya, M.Sakagami, T.Okamura
    • Journal Title

      Progress of Theoretical Physics Supplement 162

      Pages: 53-61

    • NAID

      110004729504

    • Related Report
      2006 Annual Research Report
  • [Presentation] 魚群のダイナミクス:数値シミュレーションと画像解析2010

    • Author(s)
      阪上雅昭, 鎌田諭紀
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-03-23
    • Related Report
      2009 Final Research Report
  • [Presentation] 魚群のダイナミクス : 数値シミュレーションと画像解析2010

    • Author(s)
      阪上雅昭, 鎌田諭紀
    • Organizer
      日本物理学会第65会年次大会
    • Place of Presentation
      岡山大学 津島キャンパス
    • Year and Date
      2010-03-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] 帯電フラクタルダストによる惑星形成2009

    • Author(s)
      阪上雅昭
    • Organizer
      研究会「熱場の量子論」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2009-09-03
    • Related Report
      2009 Final Research Report
  • [Presentation] 流体ブラックホールのホーキング輻射と準正規振動2009

    • Author(s)
      阪上雅昭
    • Organizer
      研究会「熱場の量子論」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2009-09-03
    • Related Report
      2009 Final Research Report
  • [Presentation] 2次元Hamiltonian Mean Field Modelの準定常状態2008

    • Author(s)
      阪上雅昭
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-23
    • Related Report
      2009 Final Research Report 2008 Self-evaluation Report
  • [Presentation] 2次元Hamiltonian Mean Field Model の準定常状態2008

    • Author(s)
      阪上雅昭, 立川崇之, 樽家篤史, 岡村隆
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      岩手大学 上田キャンパス
    • Year and Date
      2008-09-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] ホーキング輻射と波のストレッチ効果2008

    • Author(s)
      阪上雅昭
    • Organizer
      日本物理学会第63回年次大会シンポジウム「エネルギーと保存則を考え直す:非エルミートスペクトル理論の進展と展望」
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-22
    • Related Report
      2009 Final Research Report
  • [Presentation] 自己重力系の非平衡物理2007

    • Author(s)
      阪上雅昭
    • Organizer
      研究会「熱場の量子論」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2007-09-05
    • Related Report
      2009 Final Research Report
  • [Presentation] 熱場の量子論2007

    • Author(s)
      阪上雅昭
    • Organizer
      自己重力系の非平衡物理,研究会
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2007-09-05
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] 自己重力系の非平衡物理2007

    • Author(s)
      阪上雅昭
    • Organizer
      基礎物理学研究所研究会「熱場の量子論とその応用」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2007-09-05
    • Related Report
      2007 Annual Research Report
  • [Presentation] 重力多体系のポリトロープ状態の進化2007

    • Author(s)
      阪上雅昭
    • Organizer
      仙台プラズマフォーラム「プラズマ流の基礎と応用に関する研究会」
    • Place of Presentation
      東北大学
    • Year and Date
      2007-03-08
    • Related Report
      2009 Final Research Report

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Published: 2006-04-01   Modified: 2016-04-21  

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