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A statistical-mechanical study of supercooled liquids and the glass transition in complex systems

Research Project

Project/Area Number 18540363
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 InstitutionTohoku University

Principal Investigator

TOKUYAMA Michio  Tohoku University, 原子分子材料科学高等研究機構, 教授 (40175477)

Co-Investigator(Kenkyū-buntansha) TERADA Yayoi  東北大学, 流体科学研究所, 助教 (20301814)
Project Period (FY) 2006 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥4,020,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥720,000)
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: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2006: ¥900,000 (Direct Cost: ¥900,000)
Keywords統計物理学 / ガラス転移 / 過冷却液体 / 普遍性 / 空間不均一構造 / 超寿命緩和現象 / 長時間自己拡散係数 / コロイド分散系 / ガラス形成物質 / 複雑系 / 非線形緩和現象 / ユニバーサリティ / 非線形揺らぎ / スローダイナミクス / 自己拡散 / 多体相関 / 長寿命空間不均一構造 / モード結合理論 / 一粒子の運動 / 長寿命不均一空間構造 / 平均二乗変位
Research Abstract

Analyzing the characteristic features seen in various glass-forming liquids near the glass transition from a unified point of view based on the mean-field theory recently proposed by the present researcher, Tokuyama found the following important two types of universalities :
(1) If the self-diffusion coefficients of different atoms in two different systems have the same value, the dynamics of each atom obeys the same master equation.
(2) The self-diffusion coefficient of atom obeys a master equation, even if it belongs to different multi-component liquids.

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

    (65 results)

All 2010 2009 2008 2007 2006 Other

All Journal Article (38 results) (of which Peer Reviewed: 36 results) Presentation (16 results) Book (6 results) Remarks (5 results)

  • [Journal Article] A statistical-mechanical theory of slow dynamics near the glass transition2010

    • Author(s)
      M. Tokuyama
    • Journal Title

      Physica A 389

      Pages: 951-969

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Lateral Diffusion of Magnetic Colloidal Chains Confined in Thin Films2010

    • Author(s)
      Y. Terada, M. Tokuyama
    • Journal Title

      J.Phys.Soc.Jpn. 79

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] A statistical-mechanical theory of slow dynamics near the glass transition2010

    • Author(s)
      M.Tokuyama
    • Journal Title

      Physica A 389

      Pages: 951-969

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Universalities in the dynamics of suspensions of magnetic colloidal chains confined in thin films2009

    • Author(s)
      Y. Terada, M. Tokuyama
    • Journal Title

      J.Phys.Soc.Jpn. 78

    • NAID

      130005437764

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Universality in multicomponent glass-forming liquids near the glass transition2009

    • Author(s)
      M. Tokuyama
    • Journal Title

      Phys.Rev.E 80

    • NAID

      120003781136

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Self-diffusion in multi-component glass-forming systems2009

    • Author(s)
      M. Tokuyama
    • Journal Title

      Physica A 388

      Pages: 3083-3092

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Study of spatial correlation functions near the glass transition by molecular dynamics simulations2009

    • Author(s)
      Takayuki Narumi, Michio Tokuyama
    • Journal Title

      J.Crystal Growth 311

      Pages: 707-710

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Study of spatial correlation functions near the glass transition by molecular dynamics simulations2009

    • Author(s)
      T.Narumi, M.Tokuyama
    • Journal Title

      J.Crystal Growth 311

      Pages: 707-710

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Self-diffusion in multi-component glass-forming systems2009

    • Author(s)
      M.Tokuyama
    • Journal Title

      Physica A 388

      Pages: 3083-3092

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Universality in multi-component glass-forming liquids near the glass transition2009

    • Author(s)
      M.Tokuyama
    • Journal Title

      Phys.Rev.E 80

    • NAID

      120003781136

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Universalities in the dynamics of suspensions of magnetic colloidal chains confined in thin films2009

    • Author(s)
      Y.Terada, M.Tokuyama
    • Journal Title

      J.Phys.Soc.Jpn. 78

    • NAID

      130005437764

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Study of spatial correlation functions near the glass transition by molecular dynamics simulations2009

    • Author(s)
      鳴海孝之、徳山道夫
    • Journal Title

      J. Crystal Growth 311

      Pages: 707-710

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Simulation study of spatial-temporal correlation functions in supercooled liquids2008

    • Author(s)
      Takayuki Narumi, Michio Tokuyama
    • Journal Title

      Philosophical Magazine 88

      Pages: 33-35

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Universal behavior near the Glass Transitions in Fragile Glass-Forming Systems2008

    • Author(s)
      M. Tokuyama
    • Journal Title

      American Institute of Physics CP 982

      Pages: 3-13

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Statistical-Mechanical Theory of Self-Diffusion in Glass-Forming Liquids2008

    • Author(s)
      M. Tokuyama
    • Journal Title

      Physica A 387

      Pages: 5003-5011

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Test of the mode-coupling theory near the colloidal glass transition by extensive Brownian-dynamics simulations2008

    • Author(s)
      M. Tokuyama, Y. Kimura
    • Journal Title

      Physica A 387

      Pages: 4749-4754

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Statistical-Mechanical Theory of Self-Diffusion in Colloidal Suspensions-Application to the Colloidal Glass Transitions-2008

    • Author(s)
      M. Tokuyama
    • Journal Title

      Physica A 387

      Pages: 4015-4032

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Comparison of the Tokuyama-Mori type projection operator method to that of Mori type near the glass transition2008

    • Author(s)
      M. Tokuyama
    • Journal Title

      Physica A 387

      Pages: 1926-1936

    • Related Report
      2009 Final Research Report 2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A statistical-mechanical theory of self-diffusion in glass-forming liquids2008

    • Author(s)
      M. Tokuyama
    • Journal Title

      Physica A 387

      Pages: 5003-5011

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Test of the mode-coupling theory near the colloidal glass transition by extensive Brownian-dynamics simulations2008

    • Author(s)
      M. Tokuyama, and Y. Kimura
    • Journal Title

      Physica A 387

      Pages: 4749-4754

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] A statistical-mechanical theory of self-diffusion in colloidal suspensions--application to colloidal glass transitions2008

    • Author(s)
      M. Tokuyama
    • Journal Title

      Physica A 387

      Pages: 4015-4032

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Comparison of the Tokuyama--Mori type projection operator method to that of Mori type near the glass transition2008

    • Author(s)
      M. Tokuyama
    • Journal Title

      Physica A 387

      Pages: 1926-1936

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Comparison of the Tokuyama-Mori type projection operator method to that of Mori type near the glass transition2008

    • Author(s)
      徳山道夫
    • Journal Title

      Physica A 387

      Pages: 1926-1936

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Statistical-Mechanical Theory of Self-Diffusion in Colloidal Suspensions --Application to the Colloidal Glass Transitions-2008

    • Author(s)
      徳山道夫
    • Journal Title

      Physica A 387

      Pages: 4015-4032

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Test of the mode-coupling theory near the colloidal glass transition by extensive Brownian-dynamics simulations2008

    • Author(s)
      徳山道夫, 木村裕人
    • Journal Title

      Physica A 387

      Pages: 4749-4754

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Statistical-Mechanical Theory of Self-Diffusion in Glass-Forming Liquids2008

    • Author(s)
      徳山道夫
    • Journal Title

      Physica A 387

      Pages: 5003-5011

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Simulation study of spatial-temporal correlation functions in supercooled liquids2008

    • Author(s)
      鳴海孝之、徳山道夫
    • Journal Title

      Philosophical Magazine 88

      Pages: 33-35

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Universal behavior near the Glass Transitions in Fragile Glass-Forming Systems2008

    • Author(s)
      徳山道夫
    • Journal Title

      American Institute of Physics CP 982

      Pages: 3-13

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mapping from a fragile glass-forming system to a simpler one near their glass transitions2007

    • Author(s)
      M. Tokuyama, T. Narumi, E. Kohira
    • Journal Title

      Physica A 385

      Pages: 439-455

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Similarities in diversely different glass-forming systems2007

    • Author(s)
      M. Tokuyama
    • Journal Title

      Physica A 378

      Pages: 157-166

    • Related Report
      2009 Final Research Report 2008 Self-evaluation Report 2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] How Different is a Hard-Sphere Fluid from a Suspension of Hard-Sphere Colloids near the Glass Transitions2007

    • Author(s)
      M. Tokuyama, Y. Terada
    • Journal Title

      Physica A 375

      Pages: 18-36

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Mapping from a fragile glass-forming system to a simpler one near their glass transitions2007

    • Author(s)
      M. Tokuyama, T. Narumi, E. Kohira,
    • Journal Title

      Physica A 385

      Pages: 439-455

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] How Different is a Hard-Sphere Fluid from a Suspension of Hard-Sphere Colloids near the Glass Transitions2007

    • Author(s)
      M. Tokuyama, and Y. Terada
    • Journal Title

      Physica A 375

      Pages: 18-36

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Mapping from a fragile glass-forming system to a simpler one near their glass transitions2007

    • Author(s)
      M. Tokuyama, T. Narumi, and E. Kohira
    • Journal Title

      Physica A 385

      Pages: 439-455

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Similarities in different glass-forming systems2007

    • Author(s)
      M.Tokuyama
    • Journal Title

      physica A 378

      Pages: 157-166

    • Related Report
      2006 Annual Research Report
  • [Journal Article] How different is a hard fluid from a suspension of hard-sphere colloids near the glass transition2007

    • Author(s)
      M.Tokuyama, Y.Terada
    • Journal Title

      Physica A 375

      Pages: 18-36

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Glass Transition and Re-entrant Melting in a Polydisperse Hard-Sphere Fluid2006

    • Author(s)
      M. Tokuyama, Y. Terada
    • Journal Title

      American Institute of Physics CP 832

      Pages: 26-36

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Mean-Field Theory of Glass Transitions2006

    • Author(s)
      M. Tokuyama
    • Journal Title

      Physica A 364

      Pages: 23-62

    • Related Report
      2009 Final Research Report 2008 Self-evaluation Report
    • Peer Reviewed
  • [Presentation] Universality in diversely different glass-forming liquids2009

    • Author(s)
      M. Tokuyama
    • Organizer
      The 1st International Workshop on Glass Forming Systems
    • Place of Presentation
      釜山, 韓国
    • Year and Date
      2009-11-06
    • Related Report
      2009 Final Research Report
  • [Presentation] Universality in diversely different glass-forming liquids2009

    • Author(s)
      M.Tokuyama
    • Organizer
      The 1st International Workshop on Glass Forming Systems
    • Place of Presentation
      釜山,韓国
    • Year and Date
      2009-11-06
    • Related Report
      2009 Annual Research Report
  • [Presentation] A Statistical-Mechanical Theory of Slow Dynamics near the Glass Transition2009

    • Author(s)
      M. Tokuyama
    • Organizer
      The 6th International Discussion Meeting on Relaxations in Complex Systems
    • Place of Presentation
      Rome, Italy
    • Year and Date
      2009-08-31
    • Related Report
      2009 Final Research Report
  • [Presentation] A Statistical -Mechanical Theory of Slow Dynamics near the Glass Transition2009

    • Author(s)
      M.Tokuyama
    • Organizer
      The 6th International Discussion Meeting on Relaxations in Complex Systems
    • Place of Presentation
      Rome, Italy
    • Year and Date
      2009-08-31
    • Related Report
      2009 Annual Research Report
  • [Presentation] Slow Dynamics of Self-Diffusion in Multi-Component Glass Formers2009

    • Author(s)
      M. Tokuyama
    • Organizer
      The WPI Europe Workshop
    • Place of Presentation
      Grenoble, France
    • Year and Date
      2009-08-27
    • Related Report
      2009 Final Research Report
  • [Presentation] Slow Dynamics of Self-Diffusion in Multi-Component Glass Formers2009

    • Author(s)
      M.Tokuyama
    • Organizer
      International Workshop on Bulk metallic glasses
    • Place of Presentation
      Grenoble, France
    • Year and Date
      2009-08-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] Self-diffusion in multi-component glass-forming systems2009

    • Author(s)
      M. Tokuyama
    • Organizer
      The 2nd WPI Annual Workshop
    • Place of Presentation
      宮城蔵王
    • Year and Date
      2009-03-03
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] Self-diffusion in multi-component glass-forming systems2009

    • Author(s)
      徳山道夫
    • Organizer
      WIP Annual Workshop 2009
    • Place of Presentation
      宮城蔵王
    • Year and Date
      2009-03-03
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Self-diffusion in multi-component glass-forming systems2009

    • Author(s)
      徳山道夫
    • Organizer
      WPI-AIMR Annual Workshop
    • Place of Presentation
      宮城蔵王
    • Year and Date
      2009-03-03
    • Related Report
      2008 Annual Research Report
  • [Presentation] Mean-Field Theory of Glass Transitions2009

    • Author(s)
      徳山道夫
    • Organizer
      Conference on Innovative Nanoscale Approach to Dynamic Studies of Materials
    • Place of Presentation
      沖縄
    • Year and Date
      2009-01-09
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Universal Behavior near the Glass Transitions in Fragile Glass-Forming Systems2007

    • Author(s)
      M. Tokuyama
    • Organizer
      The 5th International Workshop on Complex Systems
    • Place of Presentation
      仙台
    • Year and Date
      2007-09-25
    • Related Report
      2009 Final Research Report 2008 Self-evaluation Report
  • [Presentation] Universal Behavior near the Glass Transitions in Fragile Glass-Forming Systems2007

    • Author(s)
      M. Tokuyama
    • Organizer
      The 5th International Workshop on Complex Systems
    • Place of Presentation
      仙台市
    • Year and Date
      2007-09-25
    • Related Report
      2007 Annual Research Report
  • [Presentation] Mean-Field Theory of Glass Transitions2007

    • Author(s)
      M. Tokuyama
    • Organizer
      The 4th International Workshop on Complex Systems
    • Place of Presentation
      仙台
    • Year and Date
      2007-01-10
    • Related Report
      2009 Final Research Report
  • [Presentation] Mean-Field Theory of Glass Transitions2006

    • Author(s)
      徳山道夫
    • Place of Presentation
      Portland, Maine, USA
    • Year and Date
      2006-10-09
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Mean-Field Theory of Glass Transitions2006

    • Author(s)
      M. Tokuyama
    • Organizer
      78th Annual Meeting of the Society of Rheology
    • Place of Presentation
      Portland, Maine, USA
    • Year and Date
      2006-10-08
    • Related Report
      2009 Final Research Report
  • [Presentation] Mean-Field Theory of Glass Transitions2006

    • Author(s)
      M. Tokuyama
    • Organizer
      Conference on Innovative Nanoscale Approach to Dynamic Studies of Materials
    • Place of Presentation
      沖縄
    • Year and Date
      2006-01-09
    • Related Report
      2009 Final Research Report
  • [Book] Complex Systems2008

    • Author(s)
      edited by M. Tokuyama, I. Oppenheim, H. Nishiyama
    • Publisher
      American Institute of Physics CP
    • Related Report
      2009 Final Research Report
  • [Book] Complex Systems2008

    • Author(s)
      M. Tokuyama, I. Oppenheim, and H. Nishiyama
    • Publisher
      American Institute of Physics CP982
    • Related Report
      2008 Self-evaluation Report
  • [Book] Complex systems2008

    • Author(s)
      M. Tokuyama, I. Oppenheim, H. Nishiyama
    • Publisher
      American Institute of Physics
    • Related Report
      2008 Annual Research Report
  • [Book] Complex Systems (The Proceedings of 5th International Workshop on Complex Systems)2008

    • Author(s)
      M. Tokuyama, I. Oppenheim, and H. Nishiyama
    • Total Pages
      829
    • Publisher
      American Institute of Physics
    • Related Report
      2007 Annual Research Report
  • [Book] Complex Systems2006

    • Author(s)
      edited by M. Tokuyama, S. Maruyama
    • Publisher
      American Institute of Physics CP
    • Related Report
      2009 Final Research Report
  • [Book] Flow Dynamics2006

    • Author(s)
      M. Tokuyama, and S. Maruyama
    • Publisher
      American Institute of Physics CP832
    • Related Report
      2008 Self-evaluation Report
  • [Remarks] ホームページ等

    • URL

      http://www.ifs.tohoku.ac.jp/tokuyama-lab/index.html

    • Related Report
      2009 Final Research Report
  • [Remarks]

    • URL

      http://www.ifs.tohoku.ac.jp/tokuyama-lab/index.html

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www.ifs.tohoku.ac.jp/tokuyama-lab/index.html

    • Related Report
      2008 Self-evaluation Report
  • [Remarks]

    • URL

      http://www.ifs.tohoku.ac.jp/tokuyama-lab/index.html

    • Related Report
      2008 Annual Research Report
  • [Remarks]

    • URL

      http://www.ifs.tohoku.ac.jp/tokuyama-lab/

    • Related Report
      2007 Annual Research Report

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

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