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Theoretical Study of Glass Transition and Slow Dynamics

Research Project

Project/Area Number 06640509
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 物性一般(含基礎論)
Research InstitutionKYUSHU UNIVERSITY

Principal Investigator

ODAGAKI Takashi  Kyushu Univ.Faculty of Science, Professor, 理学部, 教授 (90214147)

Co-Investigator(Kenkyū-buntansha) MATSUI Jun  Kyushu Univ.Faculty of Science, Research associate, 理学部, 助手 (10274424)
Project Period (FY) 1994 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 1996: ¥300,000 (Direct Cost: ¥300,000)
Fiscal Year 1995: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1994: ¥1,400,000 (Direct Cost: ¥1,400,000)
Keywordsglass transition / slow relaxation and fast process / ideal three mode model / trapping diffusion model / non-gaussianity / molecular dynamics simulation / Vogel-Fulcher law / alpha-and beta-relaxation / 遅い緩和 / 速い過程 / ノンガウシアニティー / 二成分ソフトスフェア-系 / Vogel-Fulcher温度 / α-緩和,β-緩和 / log-コール・コールプロット / 分子動力学シュミレーション
Research Abstract

The main theme of the present research project is to understand the dynamical properties of vitrification process in a unified manner and to elucidate the physics of the glass forming process. We studied the trapping diffusion model (TDM) more throughly and gave the theoretical foundation of the model. We also performed a molecular dynamics simulation to find out the changes in dynamical properties of supercooled liquids.
We extended the TDM to include the trapped motion as well as the non-trapped jump motion and obtained the dynamical structure factor. We showed that the main relaxation time obeys the Vogel-Fulcher law and obtained the non-Gaussianity which agees qualitatively with experiments.We also devised a new technique (log-Cole-Cole analysis) with which we can find easily the nature of the relaxation.
The extensive MD simulation was carried out for a binary soft shpere system covering the liquid state, supercooled liquid state and glassy state. We found the Vogel-Fulcher law for the main relaxation time, Boson-peak and the fast process.
We proposed an ideal three model mode consisting of an oscillation and two kinds of stochastic motions and showed that this model can reproduce the dynamical charasteristics of supercooled liquids.
The foundation of the TDM was discussed extensively and it was shown that similar dynamics would be commonly observed in systems with activation processes with randam activation energies. We also showed that the divergence of various moments signifies the dynamical transitions and that the difference of temerature multiplied by the excess entropy from its value the glass transition point can serve as the scaling parameter for the transition.

Report

(4 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • 1994 Annual Research Report
  • Research Products

    (54 results)

All Other

All Publications (54 results)

  • [Publications] T.Odagaki: "Slow dynamics in supercooled liquids" Phys.Rev.E. 49. 3150-3159 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] J.Matsui: "Study of the slow dynamics in a highly supercooled fluid : Super-long-time molecular dynamics calculation of the generalized susceptibility" Phys.Rev.Lett.73. 2452-2455 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Wachi: "Non-universal behavior of the diffusivity-exponent for the soft-percolation process in two dimensions" Phys.Rev.B. 50. 13412-13418 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 和智勇治: "ソフトパーコレーションにおけるユニバーサリティーの破れ" 物性研究. 63. 477-480 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Odagaki: "Glass Transition Singularities and Slow Relaxation" MRS Proceedings. 367. 337-346 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 小田垣孝: "ガラス転移とそのダイナミックス" 物性研究. 64. 504-509 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Hiwatari: "Molecular-Dynamics Study of Supercooled Liquids and the Theory of the Glass Transition" Computational Physics as a New Frontier in Condensed Matter Research. 329-339 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Odagaki: "Glass transition singularities" Phys.Rev.Lett.75. 3701-3704 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Hiwatari: "Slow Dynamics in Supercooled Fluids" J.Mole.Liquids. 65/66. 123-130 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Odagaki: "On the glass transition singularities and slow dynamics" physica.A. 224. 74-83 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Odagaki: "A unified theory for the glass transition singularities" 物性研究. 66. 516-519 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 松井淳: "液体-ガラス転移近傍にみられる遅いダイナミックスのコール・コール解析" 高分子論文集. 53. 678-684 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 小田垣孝: "ガラス転移点近傍の動的特異性" まてりあ. 35. 143-148 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Odagaki: "Non-ergodicity and non-Gaussianity in vitrification process" Prog.Theor.Phys.Suppl.(印刷中). (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Higuchi: "Ideal three-mode for the dynamics of supercooled liquids" Prog.Theor.Phys.Suppl.(印刷中). (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Fujisaki: "Molecular dynamics study of a supercooled binary soft-sphere system : Calculatiln of the generalized susceptibility in supercooled and glass states" Prog.Theor.Phys.Suppl.(印刷中). (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 小田垣孝: "非線形ファイバー光学(翻訳)" 吉岡書店(印刷中), (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Odagaki: "Slow dynamics in supercooled liquids" Phys.Rev.E.Vol.49. 3150-3159 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] J.Matsui: "Study of the slow dynamics in a highly supercooled fluid : Super-longtime molecular dynamics calculation of the generalized susceptibility" Phys.Rev.Lett.Vol.73. 2452-2455 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Wachi: "Non-universal behavior of the diffusivity-exponent for the soft-percolation process in two dimensions" Phys.Rev.B.Vol.50. 13412-13418 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Wachi: "Breakdown of the universality in the soft percolation process" Bussei Kenkyu. Vol.63. 477-480 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Odagaki: "Glass Transition Singularities and Slow Relaxation" MRS Proceedings. Vol.367. 337-346 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Odagaki: "Glass transition and its dynamics" Bussei Kenkyu. Vol.64. 504-509 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Hiwatari: "Molecular-Dynamics Study of Supercooled Liquids and the Theory of the Glass Transition" Computational Physics as a New Frontier in Condensed Matter Research. 329-339 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Odagaki: "Glass transition singularities 19GC08 : Phys.Rev.Lett." Vol.75. 3701-3704 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Hiwatari: "Slow Dynamics in Supercooled Fluids" J.Mole.Liquids. Vol.65/Vol.66. 123-130 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Odaaki: "On the glass transition singularities and slow dynamics" Physica.A. Vol.224. 74-83 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Odagaki: "A unified theory for the glass transition singularities" Bussei Kenkyu. Vol.66 No.3. 516-519 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] J.Matsui: "Cole-Cole analysis for slow dynamics near the liquid-glass transition" Kobunshi Ronbunshu. Vol.53 No.10. 678-684 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Odagaki: "Dynamics singularities near the glass transition point" Mareria Japan. Vol.35 No.11. 143-148 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Odagaki: "Non-ergodicity and non-Gaussianity in vitrification process" Prog.Theor.Phys.Suppl. (in press). (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Higuchi: "Ideal three-mode model for the dynamics of supercooled liquids" Prog.Theor.Phys.Suppl. (in press). (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Fujisaki: "Molecular dynamics study of a supercooled binary soft-sphere system : Calculation of the generalized susceptibility in supercooled and glassy states" Prog.Theor.Phys.Suppl. (in press). (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Odagaki: Nonlinear Fiber Optics (Translation). Yoshiokashoten (in press), (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Odagaki: "On the glass transition singularities and slow dynamics" Physica.A. 224. 74-83 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] T.Odagaki: "A unified theory for the glass transition singularities" 物性研究. 66・3. 516-519 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 松井 淳: "液体-ガラス転移近傍にみられる遅いダイナミックスのコール・コール解析" 高分子論文集. 53・10. 678-684 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 小田垣 孝: "ガラス転移点近傍の動的特異性" まてりあ. 35・11. 143-148 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] T.Odagaki: "Non-ergodicity and non-Gaussianity in vitrification process" Prog.Theor.Phys.Suppl.(印刷中). (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] M.Higuchi: "Ideal three-mode model for the dynamics of supercooled liquid" Prog.Theor.Phys.Suppl.(印刷中). (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] M.Fujisaki: "Molecular dynamics study of a supercooled binary soft-sphere system:Calculation of the generalized susceptibility in supercooled and glassy states" Prog.Theor.Phys.Suppl.(印刷中). (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] 小田垣 孝: "非線形ファイバー光学(翻訳)" 吉岡書店(印刷中), (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] T.Odagaki: "Glass Transition Singularities and Slow Relaxation" MRS Proceedings. 367. 337-346 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] K.Kaneda: "Two-scale relation in one-dimensional crystals and wavelets" J.Phys.A. 28. 4389-4406 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Y.Hiwatari: "Molecular-Dynamics Study of Supercooled Liquids and the Theory of the Glass Transition" Computational Physics as a New Frontier in Condensed Matter Research. 329-339 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] T.Odagaki: "Glass transition singularities" Phys. Rev. Latt.75. 3701-3704 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Y.Hiwatari: "Slow Dynamics in supercooled Fluids" Structure, Fluctuation, and Relaxxation in Solutions. 65/66. 123-130 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] T.Odagaki: "On the Glass transition singularities and slow dynamics" Physica.A. (印刷中).

    • Related Report
      1995 Annual Research Report
  • [Publications] S.Toyohuku: "Percolation process in a model granular system in two-dimemsions" Materials Science and Engineering A. (印刷中).

    • Related Report
      1995 Annual Research Report
  • [Publications] T.Odagaki: "A unified theory for the glass transition singularities" 物性研究. (印刷中).

    • Related Report
      1995 Annual Research Report
  • [Publications] T.Odagaki: "Slow dymanics in supercooled liquids" Phys.Rev.E. 49. 3150-3158 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] J.Matsui: "Study of the slow dynamics in a highly supercooled fluid:Super-long-time molecular dynamics calculation of the generalized susceptibility" Phys.Rev.Lett.73. 2452-2455 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Y.Wachi: "Non-universal behavior of the diffusivity exponent for the soft-percolation process in two dimensions" Phys.Rev.B. 50. 13412-13418 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] T.Odagaki: "Glass transition singularities and slow dynamics" MRS Meeting Proceedings. (印刷中).

    • Related Report
      1994 Annual Research Report

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Published: 1994-04-01   Modified: 2016-04-21  

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