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Theoretical study of glass transition on the basis of the Free energy landscape

Research Project

Project/Area Number 22540400
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 InstitutionTokyo Denki University

Principal Investigator

ODAGAKI Takashi  東京電機大学, 理工学部, 教授 (90214147)

Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords非平衡統計力学 / 密度汎関数理論 / 自由エンルギーランドスケープ / ガラス転移 / 温度変調応答 / 比熱・エントロピー / 協調緩和領域 / 初到達時間 / 非平衡系 / 統計力学 / 物性理論 / 自由エネルギーランドスケープ / 構造エントロピー / 繰り込み群 / ランジュバン方程式 / 誘電緩和 / LJGポテンシャル
Research Abstract

I studied the vitrification process on the bas is of the free energy landscape (FEL) framework. First, I showed that the configurationalentropy consists of two terms, one from the standard configurational entropy and the other from the dynamics among the basins of the FEL. The relaxation time of the hard sphere system is investigated using the FEL picture and it is shown that the Vogel-Fulcher relation holds and the divergence of the relaxation time could be attributed to the increase of the cooperatively rearranging region. Using the MD simulation, I also studied the glass forming process of the 2D Lennard-Jones-Gauss(LJG) super cooled liquid and obtained for the first time the FEL for the process. I also determined the three characteristic temperatures of the 3D LJG liquid and showed that these temperatures satisfy the Odagaki-rule. The dielectric relaxation of high polymers was analyzed on the basis of the FEL picture and it was shown that three characteristic temperatures could be determined from the dielectric relaxation alone.

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (54 results)

All 2013 2012 2011 2010 Other

All Journal Article (18 results) (of which Peer Reviewed: 18 results) Presentation (34 results) Book (1 results) Remarks (1 results)

  • [Journal Article] Boundary Perturbation Analysis of Complex Networks2012

    • Author(s)
      H. Oshima and T. Odagaki
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 81, 124009 Pages: 8-8

    • NAID

      40019524960

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Non-linear dielectric responses of a model glass former under oscillating temperature2012

    • Author(s)
      T. Odagaki, M. Kuroda and Y. Saruyama
    • Journal Title

      J. Phys.Soc. Jpn.

      Volume: 81, 104714 Pages: 5-5

    • NAID

      40019447581

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Dynamics of Vitrification and Crystallization in a Two-Dimensional Monatomic System2012

    • Author(s)
      T. Mizuguchi and T. Odagaki
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 81, 024601 Pages: 7-7

    • NAID

      210000109390

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Non-linear dielectric responses of a model glass former under oscillating temperature2012

    • Author(s)
      T. Odagaki
    • Journal Title

      Journal of Physical Society of Japan

      Volume: 81 Issue: 10 Pages: 1047141-5

    • DOI

      10.1143/jpsj.81.104714

    • NAID

      40019447581

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Boundary Perturbation Analysis of Complex Networks2012

    • Author(s)
      H. Oshima
    • Journal Title

      Journal of Physical Society of Japan

      Volume: 81 Issue: 12 Pages: 124009-124009

    • DOI

      10.1143/jpsj.81.124009

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dynamics of Vitrification and Crystallization in a Two-dimensional Monatomic System2012

    • Author(s)
      Tomoko Mizuguchi, Takashi Odagaki
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 81 Issue: 2 Pages: 024601-024601

    • DOI

      10.1143/jpsj.81.024601

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Configurational Entropy and Heat Capacity in Supercooled Liquids2011

    • Author(s)
      A. Yoshimori and T. Odagaki
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 80, 064601 Pages: 5-5

    • NAID

      120004951619

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Glass formation and thermodynamics of supercooled monatomic liquids2011

    • Author(s)
      Vo Van Hoang and T. Odagaki
    • Journal Title

      J Phys Chem B

      Volume: 115 Pages: 6946-56

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Linear and non-linear dielectric responses of a model glass former2011

    • Author(s)
      T. Odagaki, H. Katou and Y. Saruyama
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 80, 053705 Pages: 4-4

    • NAID

      40018798404

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Studies of liquid-solid transitions using a thermodynamic perturbation method with modified weighted density approximation2011

    • Author(s)
      A. Suematsu, A. Yoshimori and T. Odagaki
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 80, 025001 Pages: 2-2

    • NAID

      210000108907

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Linear and non-linear dielectric responses of a model glass former2011

    • Author(s)
      T.Odagaki
    • Journal Title

      Journal of Physical Society of Japan

      Volume: 80

    • NAID

      40018798404

    • Related Report
      2011 Annual Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Glass formation and thermodynamics of supercooled monatomic liquids2011

    • Author(s)
      Vo Van Hoang
    • Journal Title

      Journal of Physical Chemistry

      Volume: B115 Issue: 21 Pages: 6946-6956

    • DOI

      10.1021/jp111086e

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Configurational Entropy and Heat Capacity in Supercooled Liquid2011

    • Author(s)
      A.Yoshimori, T.Odagaki
    • Journal Title

      J.Phys.Soc.Jpn

      Volume: 80 Issue: 6 Pages: 64601-64601

    • DOI

      10.1143/jpsj.80.064601

    • NAID

      120004951619

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dynamics of particle flips in two-dimensional quasicrystals2010

    • Author(s)
      M. Engel, M. Umezaki, H.-R. Trebin, and T. Odagaki
    • Journal Title

      Phys. Rev.

      Volume: B82, 134206 Pages: 9-9

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Atomic mechanism of glass formation in supercooled monatomic liquids2010

    • Author(s)
      V.V. Hoang and T. Odagaki
    • Journal Title

      Solid State Commun

      Volume: 150 Pages: 1971-1975

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Glass Formation and Thermodynamics of Supercooled Monatomic Liquids2010

    • Author(s)
      V.V.Hoang
    • Journal Title

      Solid State Communications

      Volume: 150 Pages: 1971-1975

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dynamics of particle flips in two-dimensional quasicrystals2010

    • Author(s)
      M.Engel
    • Journal Title

      Physical Review

      Volume: B82

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Studies of liquid-solid transitions using a thermodynamic perturbation method with modified weighted density approximation2010

    • Author(s)
      A.Suematsu
    • Journal Title

      Journal of Physical Society of Japan

      Volume: 82

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] 極小を二つ持つ相互作用ポテンシャルを用いた相転移の研究2013

    • Author(s)
      末松安由美、吉森明、才木将史、松井淳、小田垣孝
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学
    • Related Report
      2012 Final Research Report
  • [Presentation] Non-linear responses of glass formers under temperature modulation2013

    • Author(s)
      T. Odagaki, T. Ueno and Y. Saruyama
    • Organizer
      APS March Meeting
    • Place of Presentation
      Baltimore Convention Center, Baltimore, Maryland, USA
    • Related Report
      2012 Final Research Report
  • [Presentation] Non-linear responses of glass formers under temperature modulation2013

    • Author(s)
      T. Odagaki
    • Organizer
      American Physical Society March Meeting
    • Place of Presentation
      Baltimore, USA
    • Related Report
      2012 Annual Research Report
  • [Presentation] 極小を二つ持つ相互作用ポテンシャルを用いた相転移の研究2013

    • Author(s)
      末松安由美
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学(広島県)
    • Related Report
      2012 Annual Research Report
  • [Presentation] 二つの極小をもつ粒子間相互作用が相転移に及ぼす影響2012

    • Author(s)
      末松安由美、吉森明、才木将史、松井淳、小田垣孝
    • Organizer
      第118回日本物理学会九州支部例会
    • Place of Presentation
      琉球大学
    • Year and Date
      2012-12-08
    • Related Report
      2012 Final Research Report
  • [Presentation] モデルガラス形成物質の温度変調非線形誘電緩和2012

    • Author(s)
      黒田昌利
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学(西宮市)
    • Year and Date
      2012-03-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] Non-linear dielectric response of glass formers under oscillating temperature2012

    • Author(s)
      T.Odagaki
    • Organizer
      APS March Meeting
    • Place of Presentation
      Boston Convention Center(ボストン)
    • Year and Date
      2012-03-25
    • Related Report
      2011 Annual Research Report
  • [Presentation] 熱力学的摂動論を用いたLennard-Jones-Gauss系の固液相転移の研究2012

    • Author(s)
      末松安由美
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学(西宮市)
    • Year and Date
      2012-03-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] Non-linear dielectric responses of a model glass former under oscillating temperature2012

    • Author(s)
      T. Odagaki
    • Organizer
      International Symposium on Glasses and Entropy
    • Place of Presentation
      Wildbad Kreuth, Germany
    • Related Report
      2012 Annual Research Report 2012 Final Research Report
  • [Presentation] モデルガラス形成物質の温度変調非線形誘電緩和2012

    • Author(s)
      黒田昌利、加藤英明、小田垣孝、猿山靖夫
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学
    • Related Report
      2012 Final Research Report
  • [Presentation] 熱力学的摂動論を用いたLennard-Jones-Gauss 系の固液相転移の研究2012

    • Author(s)
      末松安由美、吉森明、才木将史、松井淳、小田垣孝
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学
    • Related Report
      2012 Final Research Report
  • [Presentation] Non-linear dielectric response of glass formers under oscillating temperature2012

    • Author(s)
      T. Odagaki, M. Kuroda, H. Katoh and Y. Saruyama
    • Organizer
      APS March Meeting (Boston Convention Center
    • Place of Presentation
      Boston, USA
    • Related Report
      2012 Final Research Report
  • [Presentation] FEL formalism of non-equilibrium statistical mechanics and dielectric responses of a super cooled liquid2011

    • Author(s)
      T.Odagaki
    • Organizer
      8th Liquid Matter Conference
    • Place of Presentation
      Wien大学(ウイーン)
    • Year and Date
      2011-09-10
    • Related Report
      2011 Annual Research Report
  • [Presentation] Vitrification and crystallization processes of a monatomic system2011

    • Author(s)
      Tomoko Mizuguchi
    • Organizer
      8th Liquid Matter Conference
    • Place of Presentation
      Wien大学(ウイーン)
    • Year and Date
      2011-09-10
    • Related Report
      2011 Annual Research Report
  • [Presentation] Application of a phase transition theory to a glass forming system2011

    • Author(s)
      A.Suematsu
    • Organizer
      Mini-Symposium on Liquids (MSL)
    • Place of Presentation
      岡山大学(岡山市)
    • Year and Date
      2011-06-25
    • Related Report
      2011 Annual Research Report
  • [Presentation] Vitrification of a monatomic simple liquid in two dimensions2011

    • Author(s)
      T.Odagaki
    • Organizer
      APS March Meeting
    • Place of Presentation
      Dallas, USA
    • Year and Date
      2011-03-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] FEL formalism of non-equilibrium statistical mechanics and dielectric responses of a super cooled liquid2011

    • Author(s)
      T. Odagaki, H. Katoh and Y. Saruyama
    • Organizer
      8th Liquid Matter Conference
    • Place of Presentation
      Wien, Austria
    • Related Report
      2012 Final Research Report
  • [Presentation] Vitrification and crystallization processes of a monatomic system2011

    • Author(s)
      T. Mizuguchi and T. Odagaki
    • Organizer
      8th Liquid Matter Conference
    • Place of Presentation
      Wien, Austria
    • Related Report
      2012 Final Research Report
  • [Presentation] Application of a phase transition theory to a glass forming system2011

    • Author(s)
      A. Suematsu, A.Yoshimori and T. Odagaki
    • Organizer
      Mini-Symposium on Liquids (MSL)
    • Place of Presentation
      Okayama University, Okayama
    • Related Report
      2012 Final Research Report
  • [Presentation] Vitrification of a monatomic simple liquid in two dimensions2011

    • Author(s)
      T. Odagakiand T. Mizuguchi
    • Organizer
      APS March Meeting
    • Place of Presentation
      Dallas Convention Center, Dallas, Texus, USA
    • Related Report
      2012 Final Research Report
  • [Presentation] 2次元単成分系におけるガラス化と結晶化の動的性質2010

    • Author(s)
      水口朋子
    • Organizer
      東京大学物性研究所短期研究会
    • Place of Presentation
      柏市・東京大学物性研究所
    • Year and Date
      2010-11-30
    • Related Report
      2010 Annual Research Report
  • [Presentation] ランドスケープ-過去、現在、未来-2010

    • Author(s)
      小田垣孝
    • Organizer
      東京大学物性研究所短期研究会
    • Place of Presentation
      柏市・東京大学物性研究所
    • Year and Date
      2010-11-29
    • Related Report
      2010 Annual Research Report
  • [Presentation] ガラス転移点近傍の線形・非線形誘電応答2010

    • Author(s)
      加藤英明
    • Organizer
      東京大学物性研究所短期研究会
    • Place of Presentation
      柏市・東京大学物性研究所
    • Year and Date
      2010-11-29
    • Related Report
      2010 Annual Research Report
  • [Presentation] 2次元単成分系における結晶化、準結晶化、ガラス化のダイナミクス2010

    • Author(s)
      小田垣孝
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      堺市・大阪府立大学
    • Year and Date
      2010-09-26
    • Related Report
      2010 Annual Research Report
  • [Presentation] 自由エネルギーランドスケープ描像に基づいた剛体球系の緩和時間2010

    • Author(s)
      浴本亨
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      堺市・大阪府立大学
    • Year and Date
      2010-09-26
    • Related Report
      2010 Annual Research Report
  • [Presentation] 自由エネルギーランドスケープに基づく非平衡統計力学とガラス転移2010

    • Author(s)
      小田垣孝
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      堺市・大阪府立大学
    • Year and Date
      2010-09-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] Dynamics of crystallization, quasicrystallization and vitrification in a two dimensional monatomic system2010

    • Author(s)
      T.Mizuguchi
    • Organizer
      23rd International Conference on Statistical Physics
    • Place of Presentation
      Cairns, Austraria
    • Year and Date
      2010-07-18
    • Related Report
      2010 Annual Research Report
  • [Presentation] ランドスケープ-過去、現在、未来-2010

    • Author(s)
      小田垣 孝
    • Organizer
      東京大学物性研究所短期研究会
    • Place of Presentation
      東京大学
    • Related Report
      2012 Final Research Report
  • [Presentation] 2 次元単成分系におけるガラス化と結晶化の動的性質2010

    • Author(s)
      水口朋子、小田垣孝
    • Organizer
      東京大学物性研究所短期研究会
    • Place of Presentation
      東京大学
    • Related Report
      2012 Final Research Report
  • [Presentation] ガラス転移点近傍の線形・非線形誘電応答2010

    • Author(s)
      加藤英明、小田垣孝、猿山靖夫
    • Organizer
      東京大学物性研究所短期研究会
    • Place of Presentation
      東京大学
    • Related Report
      2012 Final Research Report
  • [Presentation] 自由エネルギーランドスケープ描像に基づいた剛体球系の緩和時間2010

    • Author(s)
      浴本亨、吉森明、吉留崇、小田垣孝
    • Organizer
      東京大学物性研究所短期研究会
    • Place of Presentation
      東京大学
    • Related Report
      2012 Final Research Report
  • [Presentation] 2 次元単成分系における結晶化、準結晶化、ガラス化のダイナミクス2010

    • Author(s)
      水口朋子、小田垣孝
    • Organizer
      日本物理学会 2010 年秋季大会
    • Place of Presentation
      大阪府立大学
    • Related Report
      2012 Final Research Report
  • [Presentation] 自由エネルギーランドスケープに基づく非平衡統計力学とガラス転移2010

    • Author(s)
      小田垣孝
    • Organizer
      日本物理学会 2010 年秋季大会
    • Place of Presentation
      大阪府立大学
    • Related Report
      2012 Final Research Report
  • [Presentation] Dynamics of crystallization, quasicrystallization and vitrification in a two dimensional monatomic system2010

    • Author(s)
      T. Mizuguchi and T. Odagaki
    • Organizer
      23rd International Conference on Statistical Physics of the International Union for Pure and Applied Physics
    • Place of Presentation
      Cairns, Austraria
    • Related Report
      2012 Final Research Report
  • [Book] 自然をみる目を育てる 力学の初歩2011

    • Author(s)
      小田垣孝
    • Total Pages
      131
    • Publisher
      培風館
    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://phys.ru.dendai.ac.jp/~odagaki/index.php

    • Related Report
      2012 Final Research Report

URL: 

Published: 2010-08-23   Modified: 2019-07-29  

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