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2007 Fiscal Year Final Research Report Summary

Statistical Physics of Structural Glass

Research Project

Project/Area Number 17540366
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 InstitutionFukuoka Institute of Technology

Principal Investigator

KAWASAKI Kyozi  Fukuoka Institute of Technology, Electronics Research Laboratory, Guest Researcher (40037164)

Co-Investigator(Kenkyū-buntansha) KATO Tomohiko  Fukuoka Institute of Technology, Faculty of Engineering, Professor (90023217)
KUMAGAI Hiroo  Fukuoka Institute of Technology, Faculty of Information Technology, Professor (60099025)
Project Period (FY) 2005 – 2007
Keywordsglass transition / mode coupling theory / fluctuation-dissipation relationship
Research Abstract

The mode coupling theory (MCT) of glass transition based on first principles has succeeded in explaining a number of experimental findings and is receiving lots of attention lately. However, nature of the drastic approximations employed is unclear. One way to shed light on this problem is to work out thoroughly a simple toy model which captures some features of reality [Kim and Kawasaki, (2005)]. On the other hand, a systematic expansion approach started by Kawasaki in 2003 has a difficulty of violating the fluctuation-dissipation relation although the standard MCT equation was recovered in the lowest order. Using the improved version of the field theory due to Biroli et al, Kim and Kawasaki succeeded in avoiding this difficulty and in developing satisfactory field-theoretic approach [Kim and Kawasaki (2007, 2008)]. This new theory reproduces the standard MCP in the one-loop order and enables systematic higher order calculations.
A closely related approach is the dynamical density functional theory (DDFT) which can in principle take into account the thermally activated processes abosent in the standard MCT. We recently interpolated two versions of DDFT, that is, fully deterministic one and stochastic version, by employing a new projection operator method.

  • Research Products

    (38 results)

All 2008 2007 2006 2005

All Journal Article (26 results) (of which Peer Reviewed: 9 results) Presentation (12 results)

  • [Journal Article] A fluctuation-dissipation-relationship-preserving field theory for interacting Brownian particles:one-loop theory and mode coupling theory2008

    • Author(s)
      B.Kim and K.Kawasaki
    • Journal Title

      Journal of Statistical Mechanics P02004

      Pages: 1-60

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] A fluctuation-dissipation-relationship-preserving field theory for interacting Brownian particles : one-loop theory and mode coupling theory2008

    • Author(s)
      B. Kim, K. Kawasaki
    • Journal Title

      Journal of Statistical Mechanics PO2004

      Pages: 1-60

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] ロングテール,臨界現象,ガラス転移2007

    • Author(s)
      川崎 恭治
    • Journal Title

      物理学会誌 62

      Pages: 759-762

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] 構造ガラス転移への第一原理からのアプローチ2007

    • Author(s)
      川崎 恭治
    • Journal Title

      物性研究 88

      Pages: 759-770

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] The mode coupling theory in the FDR-preserving field theory of interacting Brownian particles2007

    • Author(s)
      B.Kim and K.Kawasaki
    • Journal Title

      J.Phys.A.Math.Theor. 40

      Pages: F33-F42

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] ガラス転移のモード結合理論及び動的密度汎関数理論2007

    • Author(s)
      川崎 恭治
    • Journal Title

      第17回統計物理学研究会研究報告集 別冊

      Pages: 101-117

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] NMR Observation of Time Dependent Magnetization in Dilute Magnetic System Mn_xCd_<1-x>(HCOO)_2-2(NH_2)_2CO2007

    • Author(s)
      H.Kubo, K.Zenmyo, T.Kato and K.Yamagata
    • Journal Title

      J.Magn.Magn.Mater. 310

      Pages: e528-e530

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Dynamical Monte Carlo Simulation on Non-Equilibrium Phase Transition in Random Magnetic System2007

    • Author(s)
      T.Kato, Y.Ohsawa, H.Kubo and K.Zenmyo
    • Journal Title

      J.Magn.Magn.Mater. 310

      Pages: e531-e533

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] 不規則磁性体の緩和過程と非平衡相転移に関する動的モンテカルロシミュレーション2007

    • Author(s)
      北崎 保, 加藤 友彦, 久保 英範
    • Journal Title

      福岡工業大学研究論集 40

      Pages: 1-8

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] 一般化された動的密度汎関数理論2007

    • Author(s)
      川崎 恭治, 熊谷 博夫, 加藤 友彦
    • Journal Title

      福岡工業大学研究論集 40

      Pages: 41-53

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Long tail, critical phenomenon, and glass transition2007

    • Author(s)
      K. Kawasaki
    • Journal Title

      Buturi 62

      Pages: 759-762

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A first principle approach to structural glass transition2007

    • Author(s)
      K. Kawasaki
    • Journal Title

      Bussei Kenkyu 88

      Pages: 759-770

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] The mode coupling theory in the FDR-preserving field theory of interacting Brownian particles2007

    • Author(s)
      B. Kim, K. Kawasaki
    • Journal Title

      J. Phys. A. Math. Theor 40

      Pages: F33-F42

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Mode coupling theory of glass transition and dynamical density functional theory2007

    • Author(s)
      K. Kawasaki
    • Journal Title

      Proceedings of the 17th statistical physics meeting, specaial issue

      Pages: 101-117

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] NMR Observation of Time Dependent Magnetization in Dilute Magnetic System MnxCd_<1-x>(HCOO)_<2-> 2(NH_2)_2CO2007

    • Author(s)
      H. Kubo, K. Zenmyo, T. Kato, K. Yamagata
    • Journal Title

      J. Magn. Magn. Mater. 310

      Pages: e528-e530

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Dynamical Monte Carlo Simulation on Non-Equilibrium Phase Transition in Random Magnetic System2007

    • Author(s)
      T. Kato, Y, Ohsawa, H. Kubo, K. Zenmyo
    • Journal Title

      J. Magn. Magn. Mater. 310

      Pages: e531-e533

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Dynamical Monte Carlo Simulation on Relaxation Process and Non-Equilibrium Phase Transition in Random Magnetic System2007

    • Author(s)
      T. Kitazaki, T. Kato, H. Kubo.
    • Journal Title

      Res. Bull, of Fukuoka Inst. of Tech. 40

      Pages: 1-8

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Generalized dynamical density functional theory2007

    • Author(s)
      K. Kawasaki, H. Kumagai, T. Kato
    • Journal Title

      Res. Bull, of Fukuoka Inst. of Tech. 40

      Pages: 41-53

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Interpolation of stochastic and deterministic reduced dynamics2006

    • Author(s)
      K.Kawasaki
    • Journal Title

      Physica A 362

      Pages: 249-260

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Principle of maximum entropy and reduced dynamics2006

    • Author(s)
      K.Kawasaki
    • Journal Title

      J.Stat.Phys 123

      Pages: 711-740

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Interpolation of stochastic and deterministic reduced dynamics2006

    • Author(s)
      K. Kawasaki
    • Journal Title

      Physica A 362

      Pages: 249-260

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Principle of Maximum Entropy and Reduced Dynamics2006

    • Author(s)
      K. Kawasaki
    • Journal Title

      J. Stat. Phys. 123

      Pages: 711-740

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Equilibrium Dynamics of the Toy Model of Dense Fluid:The Infinite Damping Limit2005

    • Author(s)
      B.Kim and K.Kawasaki
    • Journal Title

      J.Phys.Chem. B109

      Pages: 21389-21398

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Dynamical Monte Carlo simulation on response of DAS domain in quenched Si(111) surface2005

    • Author(s)
      K.Ohtomi, T.Kato, and T.Suzuki
    • Journal Title

      Surface Science 588

      Pages: 127-134

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Equilibrium Dynamics of the Toy Model of Dense Fluid : The Infinite Damping Limit2005

    • Author(s)
      B. Kim and K. Kawasaki
    • Journal Title

      J. Phys. Chem. B109

      Pages: 21389-21398

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Dynamical Monte Carlo simulation on response of DAS domain in quenched Si(111) surface2005

    • Author(s)
      K. Ohtomi, T. Kato, T. Suzuki
    • Journal Title

      Surface Science 558

      Pages: 127-134

    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] パイロクロア磁性体の磁気構造に関するモンテカルロシミュレーション2007

    • Author(s)
      古賀 陽介, 加藤 友彦
    • Organizer
      第113回日本物理学会九州支部例会
    • Place of Presentation
      大分大学
    • Year and Date
      2007-12-01
    • Description
      「研究成果報告書概要(和文)」より
  • [Presentation] Monte Carlo simulation on magnetic structure of pyrochlore magnet2007

    • Author(s)
      Y. Koga and T.Kato
    • Organizer
      Annual meeting of Kyushu Branch of the Japan Physical Society
    • Place of Presentation
      Ooita University
    • Year and Date
      2007-12-01
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] A brief introduction to structural glasses2007

    • Author(s)
      川崎 恭治
    • Organizer
      Symposium on The 50th memorial year of the Alder transition-Recent Development on Computational Statistical Physics
    • Place of Presentation
      金沢市石川厚生年金会館
    • Year and Date
      2007-11-29
    • Description
      「研究成果報告書概要(和文)」より
  • [Presentation] A brief introduction to structural glasses2007

    • Author(s)
      K. Kawasaki
    • Organizer
      Symposium on The 50th memorial year of the Alder transition,-Recent Develop-ment on Computational Statistical Physics
    • Place of Presentation
      Kousei-Nenkin Kaikan, Kanazawa
    • Year and Date
      2007-11-29
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] Reminiscences of my golden days of the non-equilibrium statistical mechanics2007

    • Author(s)
      川崎 恭治
    • Organizer
      第21回分子シミュレーション討論会の特別セッション「50th-year celebration of the first paper of the molecular simulation of hard spheres」
    • Place of Presentation
      金沢市観光会館
    • Year and Date
      2007-11-28
    • Description
      「研究成果報告書概要(和文)」より
  • [Presentation] Reminiscences of my golden days of the non-equilibrium statistical mechanics2007

    • Author(s)
      K. Kawasaki
    • Organizer
      Special session of the 21st molecular simulation discussion meeting entitled 50th-year celebration of the first paper of the molecular simulation of hard spheres
    • Place of Presentation
      Kanko Kaikan, Kanazawa
    • Year and Date
      2007-11-28
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] 磁気混晶の相転移の観測時間依存性2007

    • Author(s)
      加藤 友彦, 北崎 保, 久保 英範
    • Organizer
      日本物理学会第62回年次大会
    • Place of Presentation
      北海道大学札幌キャンパス
    • Year and Date
      2007-09-22
    • Description
      「研究成果報告書概要(和文)」より
  • [Presentation] Dependence on observation time of phase transition in random magnetic Mixtures2007

    • Author(s)
      T. Kato, T. Kitazaki, H. Kubo
    • Organizer
      Annual meeting of the Japan Physical Society
    • Place of Presentation
      Hokkaido University, Sapporo Campus
    • Year and Date
      2007-09-22
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] ユニタリ相関演算子法およびヤクボフスキー理論による^4He核の基底状態の計算2007

    • Author(s)
      岡本 良治, 鎌田 裕之, 熊谷 博夫, 鈴木 賢二
    • Organizer
      日本物理学会2007年度春季大会
    • Place of Presentation
      首都大学東京南大沢キャンパス
    • Year and Date
      2007-03-28
    • Description
      「研究成果報告書概要(和文)」より
  • [Presentation] Calculation of the Ground-state Energy of a 4He in Unitary-Model-Operator-Approach and Yakubovsky method2007

    • Author(s)
      R. Okamoto, H. Kamada, H. Kumagai, Kenji Suzuki
    • Organizer
      2007 Spring Meeting of the Japan Physical Society
    • Place of Presentation
      Tokyo Metropolitan University, Minami-Oosawa Campus
    • Year and Date
      2007-03-28
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] 非平衡統計力学事始め2005

    • Author(s)
      川崎 恭治
    • Organizer
      基礎物理学研究所シンポジウム「基礎物理学の系譜」
    • Place of Presentation
      京都市基礎物理学研究所
    • Year and Date
      2005-11-08
    • Description
      「研究成果報告書概要(和文)」より
  • [Presentation] Beginning of my research on non-equilibrium statistical Mechanics2005

    • Author(s)
      K. Kawasaki
    • Organizer
      Symposium on History of Science Research
    • Place of Presentation
      Research Institute of Funda-mental Physics, Kyoto
    • Year and Date
      2005-11-08
    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2010-02-04  

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