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Unified Theory of Glass Transition

Research Project

Project/Area Number 09640467
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) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 1998: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1997: ¥2,300,000 (Direct Cost: ¥2,300,000)
Keywordsglass transition / trapping model / non-Gaussianity / supercooled liquids / MD simulation / fast process / rotational relaxation / plastic crystal / 位相空間の分離 / ガラス化 / ソフトスフェア-系 / 分子動力学シュミレーション / 感感受率 / 速い緩和過程 / ノンガウシアンパラメーター / Cole-Cole図
Research Abstract

1. We investigated the generalized susceptibility of supercooled binary soft spheres in a wide range of the frequency and wave number domain by molecular dynamics simulation, and showed for the frist time that the fast process exists in the simple system and is related to a localized-diffusive motion.
2. We proposed an ideal three mode model for the dynamics of supercooled liquids.
3. The characteristic behavior of the non-Gaussian paramater was investigated and was shown to have a double peak in supercooled fluids.
4. We introduced the concept of non-Gaussianity in the frequencey domain. Exploiting the non Gaussianity, we proved for the first time that the homogeneous mechanism is dominant than the inhomogeneous mechanism for the slow relaxation in supercooled fluids
5. Using the molecular dynamic simulation, we showed that the translational mode is more stretched than the rotational motion
6. Using a stochastic mode, we obtained the rotational relaxation in a plastic crystal and showed that the rotational glass transition is related the Vogel-Fulcher temperature

Report

(3 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • Research Products

    (68 results)

All Other

All Publications (68 results)

  • [Publications] T. Odagaki: "Anomalous polarization and tunneling of an electron in a quantum well" Physica B. 239. 141-143 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T. Odagaki: "A unified theory for the glass transition dynamics and its singularities" MRS Proceedings. 455. 163-169 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J. Matsui: "Separation of diffusive jump motion and trapped motion of atoms in a glass forming process via molecular dynamics simulation" MRS Proceedings. 455. 285-291 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y. Terada: "Surface energy of ionized-neutral DDAO micelles" J. Phys. Chem. B. 101. 5784-5788 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M. Caceres: "Theory of diffusion in finite random media with dynamics boundary condition" Phys. Rev. B. 56. 5897-5908 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Higuchi: "Properties of the ideal three-mode model for the dynamics of supercooled liquids" J. Phys. Soc. Jpn.66. 3134-3138 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S. Toyofuku: "Properties of granular percolation in two dimensions" J. Phys. Soc. Jpn.66. 3512-3516 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y. Terada: "Effects of hydrogen bonding on the surface energy of ionic-neutral DDAO micelles" Prog. Coll. Poly. Sci.106. 83-85 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y. Terada: "Phase Diagram of Surfactant-Water System" Statistical Physics. 72-72 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J. Matsui: "Molecular-Dynamics Analysis of the Fast Process in Classical Liquid" Statistical Physics. 73-73 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T. Odagaki: "Theory of Stochastic Dynamics in Finite Random Media with an Oscillatory Boundary Condition" Statistical Physics. 171-174 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M. Kawasaki: "Theoretical Study of Boundary Perturbation Method for Transport Process in a random Medium" Statistical Physics. 192-192 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y. Hara: "Non-Universal Critical Exponent of the Diffusion Coeffcient for the Soft-Percolation Process" Statistical Physics. 200-200 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 小田垣 孝: "ガラス転移の理論とシナリオ" 固体物理. 33. 489-497 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T. Odagaki: "Properties of percolation clusters in a model granular system in two dimensions" J. Phys.: Condens. Matter. 10. 6447-6452 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T. Odagaki: "Particles in a gravitational field" Am J. Phys.66. 721-723 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J. Matsui: "The self-part of the generalizes susceptibility of a supercooled binary soft-sphere system" J. Non-Cryst. Solids. 235-237. 335-339 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T. Odagaki: "Dynamical characteristics of the vitrification process of supercooled liquids" J. Phys.: Condens. Matter. 10. 11491-11498 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Odagaki: "Non-Gaussianity in the Frequency Domain" AIP proceedings. 印刷中.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J. Matsui: "The frequency and wave-number dependence of the generalized susceptibilityin a super-cooled fluid" AIP proceedings. 印刷中.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 小田垣孝,山田興一: "非線形ファイバー光学(翻訳)" 吉岡書店, 670 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 小田垣 孝: "熱力学および統計力学入門(上巻)(翻訳)" 吉岡書店, 310 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Odagaki and H.Kawai: "Anomalous polarization and tunneling of an electron in a quantum well" Physica B. Vol.239. 141-143 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Odagaki, J.Matsui, M.Fujisaki and M.Higuchi: "A unified theory for the glass transition dynamics and its singularities" MRS Proceedings. Vol.455. 163-169 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J.Matsui, M.Fujisaki and T.Odagaki: "Separation of diffusive jump motion and trapped motion of atoms in a glass forming process via molecular dynamics simulation" MRS Proceedings. Vol.455. 285-291 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y.Terada, H.Maeda and T.Odagaki: "Surface energy of ionized-neutral DDAO micelles" J.Phys.Chem.B. Vol.101. 5784-5788 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.-Caceres, H.Matsuda, T.Odagaki, D.P.Prato and W.Lamberti: "Theory of diffusion in finite random media with dynamics boundary condition" Phys.Rev.B. Vol.56. 5897-5908 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Higuchi and T.Odagaki: "Properties of the ideal three-mode model for the dynamics of supercooled liquids" J.Phys.Soc.Jpn.Vol.66. 3134-3138 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Toyofuku and T.Odagaki: "Properties of granular percolation in two dimensions" J.Phys.Soc.Jpn.Vol.66. 3512-3516 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y.Terada, H.Maeda and T.Odagaki: "Effects of hydrogen bonding on the surface energy of ionic-neutral DDAO micelles" Prog.Coll.Poly.Sci.Vol.106. 83-85 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y.Terada, H.Maeda and T.Odagaki: "Phase Diagram of Surfactan-Water System" Statistical Physics. 72. (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J.Matsui and T.Odagaki: "Molecular-Dynamics Analysis of the Fast Process in Classical Liquid" Statistical Physics. 73. (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Odagaki, M.Kawasaki, M.Caceres and H.Matsuda: "Theory of Stochastic Dynamics in Finite Random Media with an Oscillatory Boundary Condition" Statistical Physics. 171-174 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Kawasaki and T.Odagaki: "Theoretical Study of Boundary Perturbation Method for Transport Process in a random Medium" Statistical Physics. 192. (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y.Hara and T.Odagaki: "Non-Universal Critical Exponent of the Diffusion Coefficient for the Soft-Percolation Process" Statistical Physics. 200. (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Odagaki: "Glass Transition : Theory and Scinario" Solid State Physics. Vol.33. 489-497 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Odagaki and S.Toyofuku: "Properties of percolation clusters in a model granular system in two dimensions" J.Phys. : Condens.Matter. Vol.10. 6447-6452 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Odagaki and H.Kawai: "Particles in a gravitational field" Am J.Phys.Vol.66. 721-723 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J.Matsui, M.Fujisaki and T.Odagaki: "The self-part of the generalizes susceptibility of a supercooled binary soft-sphere system" J.Non-Cryst.Solids. Vol.235-237. 335-339 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Odagaki, J.Matsui and M.Higuchi: "Dynamical characteristics of the vitrification process of supercooled liquids" J.Phys. : Condens.Matter. Vol.10. 11491-11498 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Odagaki and J.Matsui: "Non-Gaussianity in the Frequency Domain" AIP proceedings. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J.Matsui and T.Odagaki: "The frequency and wave-number dependence of the generalized susceptibility in a super-cooled fluid" AIP proceedings. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y. Terada: "Phase Diagram of Surfactant-Water System" Statistical Physics. 72-72 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] J. Matsui: "Molecular-Dynamics Analysis of the Fast Process in Classical Liquid" Statistical Physics. 73-73 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] T. Odagaki: "Theory of Stochastic Dynamics in Finite Random Media with an Oscillatory Boundary Condition" Statistical Physics. 171-174 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M. Kawasaki: "Theoretical Study of Boundary Perturbation Method for Transport Process in a random Medium" Statistical Physics. 192-192 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Y. Hara: "Non-Universal Critical Exponent of the Diffusion Coefficient for the Soft-Percolation Process" Statistical Physics. 200-200 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 小田垣孝: "ガラス転移の理論とシナリオ" 固体物理. 489-497 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] T, Odagaki: "Properties of percolation clusters in a model granular system in two dimensions" J. Phy,: Condens. Matter. 10. 6447-6452 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] T, Odagaki: "Particles in a gravitational field" Am J. Phys.66. 721-723 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] J. Matsui: "The self-part of the generalizes susceptibility of a supercooled binary soft-sphere system" J. Non-Cryst. Solids. 235-237. 355-339 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] T, Odagaki: "Dynamical characteristics of the vitrification process of supercoold liquids" J. Phy,: Condens. Matter. 10. 11491-11498 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] T, Odagaki: "Non-Gaussianity in the Frequency Domain" AIP proceedings. (印刷中).

    • Related Report
      1998 Annual Research Report
  • [Publications] J. Matsui: "The frequncy and wave-number dependence of the generalized susceptibilityin a super-cooled fluid" AIP proceedings. (印刷中).

    • Related Report
      1998 Annual Research Report
  • [Publications] 小田垣孝: "熱力学および統計力学入門(上巻)(翻訳)" 吉岡書店, 310 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] T.Odagaki: "Non-ergodicity and non-Gaussianity in vitrification process" Prog.Theor.Phys.Suppl.126. 9-12 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] M.Higuchi: "Ideal three-mode model for the dynamics of supercooled liquids" Prog.Theor.Phys.Suppl.126. 313-316 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] M.Fujisaki: "Molecular dynamics study of a supercooled binary soft-sphere system:Calculation of the genelarized susceptibility in supercooled and glassy states" Prog.Theor.Phys.Suppl.126. 317-320 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Odagaki: "Anomalous polarization and tunneling of an electron in a quantum well" Physica B. 239. 141-143 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Odagaki: "A unified theory for the glass transition dynamics and its singularities" MRS Procedings. 455. 163-169 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] J.Matsui: "Separation of diffusive jump motion and trapped motion of atoms in a glass forming process via molecular dynamics simulation" MRS Proceedings. 455. 285-291 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Y.Terada: "Surface energy of ionized-neutral DDAO micelles" J.Phys.Chem.B. 101 No.30. 5784-5788 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] M.Ca'ceres: "Theory of diffusion in finite random media with dynamics boundary condition" Phys.Rev.B. 56 No.10. 5897-5908 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] M.Higuchi: "Properties of the ideal three-mode model for the dynamics of supercooled liquids" J.Phys.Soc.Jpn.66 No.10. 3134-3138 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] S.Toyofuku: "Properties of granular percolation in two dimensions" J.Phys.Soc.Jpn.66 No.11. 3512-3516 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Y.Terada: "Effects of hydrogen bonding on the surface energy of ionic-neutral DDAO micelles" Prog.Coll.Poly.Sci.106. 83-85 (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] 小田垣 孝: "非線型ファイバー光学(翻訳)" 吉岡書店, 670 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Odagaki: "Dynamics of Glass Transition and Related Topics(編集)" 理論物理学刊行会, 436 (1997)

    • Related Report
      1997 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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