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Theory of glass transition in the energy landscape picture and nonequilibrium statistical physics

Research Project

Project/Area Number 13640389
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 University, Physics Department, Professor, 大学院・理学研究院, 教授 (90214147)

Co-Investigator(Kenkyū-buntansha) MATSUI Jun  Kyushu University, Physics Department, Research Associate, 大学院・理学研究院, 助手 (10274424)
YOSHIMORI Akira  Kyushu University, Physics Department, Associate Professor, 大学院・理学研究院, 助教授 (90260588)
Project Period (FY) 2001 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 2002: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2001: ¥2,500,000 (Direct Cost: ¥2,500,000)
KeywordsGlass transition / Mode coupling theory / Energy landscape / Scaling of specific heat / Diatomic molecular supercooled liquid / Molecular simulation / Trapping diffusion model / Johari-Goldstein process / 協調緩和領域 / アダム・ギブズ理論 / ランドスケープ / 比熱 / アニールド平均 / クエンチド平均 / 秩序変数
Research Abstract

1. First observation of the cooperatively rearranging region was made for the supercooled liquid of soft-core discs.
2. Using the newly developed frame work to obtain the specific heat of non-equilibriun system described by the energy landscape picture, the temperature dependence of the specific heat was obtained for various cooling process for a model energy landscape and it was shown that the anomaly at the glass transition point is explained by the transition from the annealed to the quenched average.
3. A new order parameter, the degree of annealing, was introduced and was shown to be effective in describing the glass transition.
4. Employing the power law distribution for the jump rate between basins in the energy landscape, we showed that the specific heat anomaly at the glass transition is comoatible with experiments.
5. Relaxation process in the supercooled state of various modes of diatomic molecule were investigated by the molecular dynamics simulation and it was shown that coupling between rotational, bibrational and translational motions gives rise to the Johari-Goldstein process and the high frequency wing.
6. A non-Gaussian parameter in the frequency domain was introduced and its behavior near the glass transition was investigated. Using the wave number dependence of the relaxation time we developed a new method to distinguish the homogeneous and non-homogeneous pictures for the slow relaxation.

Report

(3 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • Research Products

    (67 results)

All Other

All Publications (67 results)

  • [Publications] F.Mori: "Percolation analysis of clusters in random graphs"J.Phys.Soc.Jpn.. 70. 2485-2489 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Tao: "Specific heat in nonequilibnium systems"Phys.Rev.E. 64. 046112-1-046112-5 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Torikai: "Binary self-similar one dimensional quasilattices : Mutual local-derivability classification and substitution rules"J.Phys.Soc.Jpn.. 70. 2918-2933 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Takayama: "Crossover from two to three dimensional percolation in thin layers"J.Phys.Soc.Jpn.. 70. 3176-3177 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kim: "Chaotic features in fractional iterative maps"Physica A. 315. 40-44 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kim: "Multifractal Measures in Fractional Iterative Maps"Fractals. 10. 229-233 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kim: "Chaotic Features on Iterative Maps"J.Kor.Phys.Soc.. 40. 1023-1026 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 小田垣孝: "ガラス転移点近傍の比熱の異常について"KEK Proceedings. 2001-27. 1-4 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 松井 淳: "ソフトコアガラスのCRR"KEK Proceedings. 2001-27. 21-23 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 樋口 真理子: "二原子分子過冷却液体のジョハリ・ゴールドシュタイン過程"KEK Proceedings. 2001-27. 78-80 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 池永雅範: "ガラス転移点における協調領域の直接的測定"KEK Proceedings. 2001-27. 81-82 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 田川 文隆: "動的構造因子とノンガウシアンパラメーター"KEK Proceedings. 2001-27. 83-85 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 田尾 聡明: "非平衡系の比熱"KEK Proceedings. 2001-27. 86-89 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 久保田陽二: "非一様性をもつ光ファイバー中のソリトン伝播"九州大学応用力学研究所研究集会報告. 13ME-S4. 75-80 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Higuchi: "The Johari-Goldstein process of a model diatomic molecular system in the supercooled state"J.Phys.Soc.Jpn.. 71. 735-738 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Torikai: "Anomalous thermal conductivity and local temperature distribution on harmonic Fibonacci chains"J.Phys.Condens.Matter. 14. L503-L510 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Odagaki: "Specific heat in nonequilibrium systems and glass transition"J.Non-Cryst.Sol.. 307-310. 407-411 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Odagaki: "Random jammed packing of binary hard disks"J.Phys.Soc.Jpn.. 71. 2350-2351 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Tao: "Specific heat in a nonequilibrium system composed of Einstein oscillators"Phys.Rev.E. 66. 041103-1-041103-5 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Odagaki: "Specific heat anomaly at the glass transition"J.Chem.Phys.. 117. 10151-10155 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] R.Ogata: "Percolation on Dispersed System"Proceedings of the First Saga Synchrotron Light Symposium. 23-24 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Higuchi: "Slow relaxations in the supercooled state of a model diatomic molecular system"J.Phys.Soc.Jpn.. 72. 178-184 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 小田垣 孝: "パーコレーションの基本原理(D.Stauffer and A.Aharony : Introduction to Percolation Theory 2nd Edition)"吉岡書店. 311 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] F.Mori: "Percolation analysis of clusters in random graphs"J.Phys.Soc.Jpn.. 70. 2485-2489 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Tao: "Specific heat in nonequilibrium systems"Phys.Rev.E. 64. 046112-1-5 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Torikai: "Binary self-similar one-dimensional quasilattices : Mutual local-derivability classification and substitution rules"J.Phys.Soc.Jpn.. 70. 2918-2933 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Takayama: "Crossover from two to three dimensional percolation in thin layers"J.Phys.Soc.Jpn.. 70. 3176-3177 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kim: "Chaotic features in fractional iterative maps"Physica A. 315. 40-44 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kim: "Multifractal Measures in Fractional Iterative Maps"Fractals. 10. 229-233 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kim: "Chaotic Features on Iterative Maps"J.Kor.Phys.Soc.. 40. 1023-1026 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Odagaki: "On the anomaly in the specific heat at the glass transition"KEK Proceedings. 2001-27. 1-4 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] J.Matsui: "CRR of softcore glass"KEK Proceedings. 2001-27. 21-23 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Higuchi: "Johari-Goldstein process of the supercooled state of diatomic molecular liquids"KEK Proceedings. 2001-27. 78-80 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Ikenaga: "Direct measurement of CRR near the glass transition"KEK Proceedings. 2001-27. 81-82 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] F.Tagawa: "Dynamic stracture factor and the non-Gaussian parameter"KEK Proceedings. 2001-27. 83-85 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Tao: "Specific heat of non-equilibrium systems"KEK Proceedings. 2001-27. 86-89 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Kubota: "Soliton propagations on non-uniform optical fibers"Reports of RIAM Symposium. 13ME-S4. 75-80 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Higuchi: "The Johari-Goldstein process of a model diatomic molecular system in the supercooled state"J.Phys.Soc.Jpn.. 71. 735-738 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Torikai: "Anomalous thermal conductivity and local temperature distribution on harmonic Fibonacci chains"J.Phys. : Condens.Matter. 14. L503-L510 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Odagaki: "Specific heat in nonequilibrium systems and glass transition"J.Non-Cryst.Sol.. 307-310. 407-411 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Odagaki: "Random jammed packing of binary hard disks"J.Phys.Soc.Jpn.. 71. 2350-2351 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Tao: "Specific heat in a nonequilibrium system composed of Einstein oscillators"Phys.Rev.E. 66. 041103-1-5 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Odagaki: "Specific heat anomaly at the glass transition"J.Chem.Phys.. 117. 10151-10155 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] R.Ogata: "Percolation on Dispersed System"Proceedings of the First Saga Synehrotron Light Symposium. 23-24 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Higuchi: "Slow relaxations in the supercooled state of a model diatomic molecular system"J.Phys.Soc.Jpn.. 72. 178-184 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Odagaki: "Introduction to Percolation Theory 2nd Edition"311 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 小田垣孝: "ガラス転移点近傍の比熱の異常について"KEK Proceedings. 2001-27. 1-4 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 松井 淳: "ソフトコアガラスのCRR"KEK Proceedings. 2001-27. 21-23 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 樋口 真理子: "二原子分子過冷却液体のジョハリ・ゴールドシュタイン過程"KEK Proceedings. 2001-27. 78-80 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 池永 雅範: "ガラス転移点における協調領域の直接的測定"KEK Proceedings. 2001-27. 81-82 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 田川 文隆: "動的構造因子とノンガウシアンパラメーター"KEK Proceedings. 2001-27. 83-85 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 田尾 聡明: "非平衡系の比熱"KEK Proceedings. 2001-27. 86-89 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Higuchi: "The Johari-Goldstein process of a model diatomic molecular system in the supercooled state"J. Phys. Soc. Jpn.. 71. 735-738 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Torikai: "Anomalous thermal conductivity and local temperature distribution on harmonic Fibonacci chains"J. Phys. : Condens. Matter. 14. L503-L510 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Odagaki: "Specific heat in nonequilibrium systems and glass transition"J. Non-Cryst. Sol.. 307-310. 407-411 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Odagaki: "Random jammed packing of binary hard disks"J. Phys. Soc. Jpn.. 71. 2350-2351 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Tao: "Specific heat in a nonequilibrium system composed of Einstein oscillators"Phys. Rev. E. 66. 041103-1-041103-5 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Odagaki: "Specific heat anomaly at the glass transition"J. Chem. Phys.. 117. 10151-10155 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] R.Ogata: "Percolation on Dispersed System"Proceedings of the First Saga Synchrotron Light Symposium. 23-24 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Higuchi: "Slow relaxations in the supercooled state of a model diatomic molecular system"J. Phys. Soc. Jpn.. 72. 178-184 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Odagaki: "Localization transition in the vitrification process"Physica B. 206. 174-179 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] F.Mori: "Percolation analysis of clusters in random graphs"Journal of Physical Society of Japan. 70. 2485-2489 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Tao: "Specific heat in nonequilibrium systems"Physical Review E. 64. 046112-1-046112-5 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Torikai: "Binary self-similar one-dimensional quasilattices : Mutual local-derivability classification and substitution rules"Journal of Physical Society of Japan. 70. 2918-2933 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Takayama: "Crossover from two to three dimensional percolation in thin layers"Journal of Physical Society of Japan. 70. 3176-3177 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Odagaki: "Specific heat in nonequilibrium systems and glass transition"Journal of Non-Crystalline Solids. (印刷中). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 小田垣 孝: "パーコレーションの基本原理"吉岡書店. 311 (2001)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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