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Dynamical analysis for quantum many body systems and relating ones in terms of the nonequilibrium relaxation method and the gauge theory

Research Project

Project/Area Number 19540397
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionThe University of Electro-Communications

Principal Investigator

OZEKI Yukiyasu  The University of Electro-Communications, 大学院・情報理工学研究科, 准教授 (70214137)

Project Period (FY) 2007 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2007: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Keywords統計物理学 / 非平衡緩和 / ゲージ理論 / 量子ゲージグラ / ランダム系 / KT転移 / 量子ゲージグラス / 非平衡緩和法
Research Abstract

The nonequilibrium relaxation method is extended to the spin glass and the Kosterlitz-Thouless(KT)systems. The critical universality including the dynamical one is mainly analyzed. The universality in random system is observed for the static exponents while no universality appears for the dynamical one in the ferromagnetic transitions. On the other hand, it does not appear for the static exponents but for the dynamical one in the KT phase. This result leads us to subjects which have not been investigated much. As for the analysis of the spin glass system, the present study makes us possible to discuss the structure of universalities whole in the phase diagram.

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

    (34 results)

All 2010 2009 2008 2007

All Journal Article (13 results) (of which Peer Reviewed: 7 results) Presentation (21 results)

  • [Journal Article] Nonequilibrium Relaxation Analysis for Universality in Kosterlitz-Thouless transitions in Disordered Systems2010

    • Author(s)
      Y.Ozeki, T.Sakai
    • Journal Title

      ISSP Supercomputer Center Activity Report 2009

      Pages: 185-186

    • Related Report
      2010 Final Research Report
  • [Journal Article] Nonequilibriu Relasxation Analysis for Universality in Kosterlitz-Thouless Transitions in Disordered Systems2010

    • Author(s)
      Y.Ozeki, T.Sakai
    • Journal Title

      Activity Report 2009, ISSP, University of Tokyo

      Pages: 185-186

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Nonequilibrium Relaxation Studies for Frustrated Spin Systems with Kosterlitz-Thouless Transitions2009

    • Author(s)
      Y.Ozeki, S.Yotsuyanagi
    • Journal Title

      Int.J.Mod.Phys.C 20

      Pages: 1367-376

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Effects of dsicreteness on gauge glass models in two and three dimensions2009

    • Author(s)
      S.Yotsuyanagi, Y.Suemitsu, Y.Ozeki
    • Journal Title

      Phys.Rev.E 79J

      Pages: 41138-41138

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Nonequilibrium Relaxation Study on Spin Glass Transition and Universality for the±J Ising Model2009

    • Author(s)
      Y.Ozeki, T.Sugaya, A.Hagiwara
    • Journal Title

      Phys.Rev.E 2008

      Pages: 173-174

    • Related Report
      2010 Final Research Report
  • [Journal Article] Effects of dsicreteness on gauge glass models in two and three dimensions2009

    • Author(s)
      S. Yotsuyanagi, Y. Suemitsu, Y. Ozeki
    • Journal Title

      Phys.Rev.E79J.

      Pages: 41138-41138

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Nonequilibrium Relaxation Study on Spin Glass Transition and Universality for the +/- J Ising Model2009

    • Author(s)
      Y.Ozeki, T.Sugaya, A.Hagiwara
    • Journal Title

      Activity Report 2008, ISSP, University of Tokyo

      Pages: 173-173

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Effects of dsicreteness on gauge glass models in two and three dimensions2009

    • Author(s)
      S. Yotsuyanagi, Y. Suemitsu, Y. Ozeki
    • Journal Title

      Phys. Rev. E 79

      Pages: 41138-41138

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonequilibrium Relaxation Analysis for Universality in Disordered Systems,2008

    • Author(s)
      Y.Ozeki, S.Yotsuyanagi
    • Journal Title

      ISSP Supercomputer Center Activity Report 2007

      Pages: 194-194

    • Related Report
      2010 Final Research Report
  • [Journal Article] Nonequilibrium relaxation method2008

    • Author(s)
      Y. Ozeki, N. Ito
    • Journal Title

      J.Phys.A : Math and Theor. 40

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Nonequilibrium relaxation method2008

    • Author(s)
      Y. Ozeki and N. Ito
    • Journal Title

      J. Phys. A:Math and Theor. 40

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonequilibrium relaxation method2007

    • Author(s)
      Y.Ozeki, N.Ito
    • Journal Title

      J.Phys. A : Math and Theor. 40

      Pages: 149-203

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] 非平衡緩和法による離散ゲージグラス模型の解析2007

    • Author(s)
      尾関之康
    • Journal Title

      物性研だより(東京大学物性研究所) 47(1)

      Pages: 37-37

    • Related Report
      2010 Final Research Report
  • [Presentation] Effects of randomness on critical exponents of Kosterlitz-Thouless transition in disordered XX models2010

    • Author(s)
      尾関之康, 酒井拓也
    • Organizer
      in STATPHYS-24
    • Place of Presentation
      ケアンズ(オーストラリア)
    • Year and Date
      2010-07-19
    • Related Report
      2010 Final Research Report
  • [Presentation] Nonequilibrium relaxation analysis for the spin glass transition in the ±J Ising model in 3D2010

    • Author(s)
      Y.Ozeki, T.Sugaya, A.Hagiwara
    • Organizer
      in STATPHYS-24
    • Place of Presentation
      ケアンズ(オーストラリア)
    • Year and Date
      2010-07-19
    • Related Report
      2010 Final Research Report
  • [Presentation] 2次元ランダムXX模型のKT相における臨界指数の非平衡緩和解析2010

    • Author(s)
      酒井拓也、尾関之康
    • 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
      2010 Final Research Report
  • [Presentation] 2次元ランダムXY模型のKT相における臨界指数の非平衡緩和解析2010

    • Author(s)
      酒井拓也・尾関之康
    • Organizer
      日本物理学会第65回年次大会
    • 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] Effects of randomness on critical exponents of Kosterlitz-Thouless transition in disordered XX models2010

    • Author(s)
      Y.Ozeki, T.Sakai
    • Organizer
      24^<th> Statistical Physics Meeting (STATPHYS 24)
    • Place of Presentation
      Cairns, Austraia
    • Related Report
      2010 Annual Research Report
  • [Presentation] Nonequilibrium relaxation analysis for the spin glass transition in the ±J Ising model in 3D2010

    • Author(s)
      Y.Ozeki, T.Sugaya, A.Hagiwara
    • Organizer
      24^<th> Statistical Physics Meeting (STATPHYS 24)
    • Place of Presentation
      Cairns, Austraia
    • Related Report
      2010 Annual Research Report
  • [Presentation] 3次元ゲージグラス模型におけるスピングラス転移の非平衡緩和解析2009

    • Author(s)
      萩原敦、尾関之康
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-09-27
    • Related Report
      2010 Final Research Report
  • [Presentation] 3次元ゲージグラス模型におけるスピングラス転移の非平衡緩和解析2009

    • Author(s)
      萩原敦・尾関之康
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学黒髪キャンパス
    • Year and Date
      2009-09-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] Isingスピングラス模型におけるスピングラス相と臨界普遍性の非平衡緩和解析2009

    • Author(s)
      菅谷太一・萩原敦・尾関之康
    • Organizer
      日本物理学会第64回年次大会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-27
    • Related Report
      2010 Final Research Report 2009 Self-evaluation Report 2008 Annual Research Report
  • [Presentation] 2次元ゲージグラス模型のKT相内における臨界指数の非平衡緩和解析2009

    • Author(s)
      尾関之康、酒井拓也
    • Organizer
      日本物理学会第64回年次大会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-27
    • Related Report
      2010 Final Research Report 2008 Annual Research Report
  • [Presentation] Phase diagrams and critical properties for the ±J Ising model in two and three dimensions2008

    • Author(s)
      尾関之康
    • Organizer
      in Multicritical Behavior of Spin Glasses and Quantum Error Correcting Codes
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-11-18
    • Related Report
      2010 Final Research Report
  • [Presentation] Phase diagrams and critical properties for the +/-J Ising model in two and three dimensions2008

    • Author(s)
      Y. Ozeki
    • Organizer
      in Multicritical Behavior of Spin Glasses and Quantum Error Correcting Codes
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-11-18
    • Related Report
      2009 Self-evaluation Report
  • [Presentation] Phase diagrams and critical properties for the +/-J Ising model in two and three dimensions2008

    • Author(s)
      Y. Ozeki
    • Organizer
      Multicritical Behavior of Spin Glasses and Quantum Error Correcting Codes
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-11-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] ランダム系の臨界普遍性の非平衡緩和解析II2008

    • Author(s)
      尾関之康、四柳智司、菅谷太一
    • Organizer
      日本物理学会第63回年次大会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-26
    • Related Report
      2010 Final Research Report
  • [Presentation] ランダム系の臨界普遍性の非平衡緩和解析II2008

    • Author(s)
      尾関之康、四柳智司、菅谷太一
    • Organizer
      日本物理学会 第63回年次大会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-26
    • Related Report
      2007 Annual Research Report
  • [Presentation] ランダム系の臨界普遍性の非平衡緩和解析2007

    • Author(s)
      尾関之康
    • Organizer
      物性研短期研究会「計算物性物理学の進展」
    • Place of Presentation
      東京大学物性研究所
    • Year and Date
      2007-11-11
    • Related Report
      2010 Final Research Report
  • [Presentation] 3次元ゲージグラス模型の臨界普遍性I2007

    • Author(s)
      尾関之康、四柳智司、菅谷太一
    • Organizer
      日本物理学会2007年秋季大会
    • Place of Presentation
      北海道大学札幌キャンパス
    • Year and Date
      2007-09-23
    • Related Report
      2010 Final Research Report
  • [Presentation] 3次元ゲージグラス模型の臨界普遍性I2007

    • Author(s)
      四柳智司、尾関之康、菅谷太一
    • 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
      2007-09-22
    • Related Report
      2007 Annual Research Report
  • [Presentation] Nonequilibrium relaxation study for universality classes and random fixed points in some disordered systems2007

    • Author(s)
      尾関之康
    • Organizer
      in STATPHYS-23
    • Place of Presentation
      ジェノバ(イタリア)
    • Year and Date
      2007-07-12
    • Related Report
      2010 Final Research Report
  • [Presentation] Nonequilibrium relaxation study for universality classes and random fixed points in some disordered systems2007

    • Author(s)
      Y. Ozeki
    • Organizer
      STATPHYS-23
    • Place of Presentation
      Genova (Italy)
    • Year and Date
      2007-07-12
    • Related Report
      2009 Self-evaluation Report
  • [Presentation] Nonequilibrium relaxation study for universality classes and random fixed points in some disordered systems2007

    • Author(s)
      Y. Ozeki
    • Organizer
      STATPHYS-23
    • Place of Presentation
      Genova(Italy)
    • Related Report
      2007 Annual Research Report

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

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