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Quasi-equilibrium evolution in self-gravitating and long-range interacting systems

Research Project

Project/Area Number 21740188
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionJapan Atomic Energy Agency

Principal Investigator

TATEKAWA Takayuki  Japan Atomic Energy Agency, システム計算科学センター, 博士研究員 (60350477)

Project Period (FY) 2009 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Keywords統計物理 / 重力 / 長距離力 / N体シミュレーション / 非平衡 / GPGPU / 統計力学 / 多体問題 / 緩和過程
Research Abstract

In long-range interacting systems such as self-gravitating system, it is known that relaxation time is quite long. Then during relaxation process in the long-range interacting systems, quasi-equilibrium state which is independent of initial conditions often appears. We discuss the models which can describe the quasi-equilibrium state with both analytic methods from statistical mechanics and N-body particles simulation. Then we showed that the density distribution of King model is represented by using Langevin equation in self-gravitating system. We showed that, in negative specific heat region, the quasi-equilibrium state in 2-dimensional HMF model can be fitted by maximum state of non-extensive entropy. On the other hand, in positive specific heat region, we cannot fit the quasi-equilibrium state with maximum state of non-extensive entropy.

Report

(3 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • Research Products

    (9 results)

All 2011 2010 Other

All Journal Article (4 results) (of which Peer Reviewed: 4 results) Presentation (3 results) Remarks (2 results)

  • [Journal Article] Stochastic dynamics toward the steady state of self-gravitating systems2011

    • Author(s)
      Tohru Tashiro, Takayuki Tatekawa
    • Journal Title

      Numerical Simulations/Book2 (Intech)

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Stochastic dynamics toward the steady state of self-gravitating systems2011

    • Author(s)
      Tohru Tashiro, Takayuki Tatekawa
    • Journal Title

      Numerical Simulations (InTech-Open Access Publisher)

      Volume: 2(印刷中)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Brownian dynamics around the core of self-gravitating systems2010

    • Author(s)
      Tohru Tashiro, Takayuki Tatekawa
    • Journal Title

      Journal of the Physical Society of Japan Vol.79, No.6

    • NAID

      40017143653

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Brownian dynamics around the core of self-gravitating systems2010

    • Author(s)
      Tohru Tashiro, Takayuki Tatekawa
    • Journal Title

      J.Phys.Soc.Jpn.

      Volume: 79

    • NAID

      40017143653

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] Transient states in two-dimensional long-range interacting system2010

    • Author(s)
      立川崇之
    • Organizer
      The XXIV International Conference on Statistical Physics of the International Union for Pure and Applied Physics (STATPHYS 24)
    • Place of Presentation
      オーストラリア・ケアンズ
    • Year and Date
      2010-07-23
    • Related Report
      2010 Annual Research Report
  • [Presentation] Transient states in two-dimensional long-range interacting system2010

    • Author(s)
      Takayuki Tatekawa, Masa-aki Sakagami, Atsushi Taruya, Takashi Okamura, Stefano Ruffo
    • Organizer
      The XXIV International Conference on Statistical Physics of the International Union for Pure and Applied Physics (STATPHYS 24)
    • Place of Presentation
      Cairns, Australia
    • Related Report
      2010 Final Research Report
  • [Presentation] Transient states in two-dimensional N-body systems2010

    • Author(s)
      Takayuki Tatekawa, Masa-aki Sakagami, Atsushi Taruya, Takashi Okamura, Stefano Ruffo
    • Organizer
      The 13th Slovenia-Japan seminar on nonlinear science and Waseda AICS symposium on nonlinear and nonequilibrium phenomena in complex systems
    • Place of Presentation
      早稲田大学
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Remarks] ホームページ等

    • URL

      http://www2.yukawa.kyoto-u.ac.jp/~tatekawa/

    • Related Report
      2010 Final Research Report
  • [Remarks]

    • URL

      http://www2.yukawa.kyoto-u.ac.jp/~tatekawa/

    • Related Report
      2010 Annual Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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