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Theory and Computer Experiments of the Slow Dynamics in Random Mediums

Research Project

Project/Area Number 05640439
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 物性一般(含基礎論)
Research InstitutionKanazawa University

Principal Investigator

HIWATARI Yasuaki  Kanazawa University, Faculty of Science, Professor, 理学部, 教授 (20019491)

Co-Investigator(Kenkyū-buntansha) TAKASU Masako  Kanazawa University, Faculty of Science, Associate Professor, 理学部, 助教授 (50202148)
Project Period (FY) 1993 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1994: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1993: ¥1,600,000 (Direct Cost: ¥1,600,000)
KeywordsSupercooled Fluid / Glass Transition / alpha Relaxation / beta Relaxation / Non-Gaussian Transition / Anomalous Diffusion / Charged Polymer Chain / 荷電高分鎖 / 遅い緩和 / α緩和 / β緩和 / スローダイナミックス
Research Abstract

Using 2-dimensional and 3-dimensional soft-sphere models, we have carried out molecular dynamics simulations for their supercooled fluid states. It has been shown that there are at least two different types of jumping motions of atoms in highly supercooled states and possibly glassy states, one of which, corresponding to the smaller averaged jump rate, can be specified by a distribution of the jump rates rather than a constant jump rate. These two jump motions are responsible to the alpha and beta slow dynamics in supercooled fluid states. Taking into consideration these two coarse-grained motions of atoms and trapping diffusion-type of equation (master equation) , we have found the following main results :
(1) Quasi anomalous diffusion takes place in highly supercooled fluid states, leading to the anomalous dynamics in intermediate time scales known as alpha and beta relaxation of the density autocorrelation function. (2) Below the glass transition temperature anomalous diffusion takes place, namely the diffusion constant becomes zero. This indicates that the anomaloous dynamics occurs in infinitely long time limit. The liquid-glass transition is specified in this theory by the Gaussian-to-non-Gaussian transition. (3) The above results are consistent with the behavior of the generalized susceptibility obtained by the molecular dynamics simulation, and with recent experiments.
In addition, as a related problem, we have also studied a system of charged polmer melts (plus counter ions) using molecular-dynamics simulation.

Report

(3 results)
  • 1994 Annual Research Report   Final Research Report Summary
  • 1993 Annual Research Report
  • Research Products

    (66 results)

All Other

All Publications (66 results)

  • [Publications] J.Habasaki: "Glass Transition Temperatures Studied by MD Simulation of Some Alkali Metasilicates" Mol.Sim.10. 19-26 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] M.Takasu: "Numerical Studies of Electron Transfer" Proc.CAMSE'92. 375-378 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] J.Habasaki: "A Molccular-Dynamics Study on the Liquid-Glass Transition in Alkali Metasilicates" Proc.CAMSE'92. 251-254 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Hiwatari: "Study on Slow Dynamics of Highly Supercooled Liquids and the Liquid-Glass Transition via Molecular Dynamics Simulation" Proc.CAMSE'92. 241-246 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] M.Takasu: "Relaxation of Quantum Systems in a Fluctuating Medium" Quantum Monte Carlo Methods in Condensed Matter Physics,ed.M.Suzuki(World Scientific,Singapole). 355-368 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] S.Itoh: "Dynamical Singularity of the Glass Transition in Molten Lithium Iodide" Non-Cryst.Solids. 156-158. 559-563 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] J.Matsui: "Calculation of the Generalized Susceptibility for a Highly Supercooled Fluid through Molecular-Dynamics Simulation" Mol.Sim. 12. 305-316 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Hiwatari: "Study of the α and β relaxations in a Supercooled Fluid via Molecular-Dynamics Simulation" Physica A. 204. 306-327 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] K.Uehara: "Molecular-Dynamics Simulations for the Density Autocorrelation Function in a Supercooled Fluid Phase" Mol.Sim.12. 253-270 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Odagaki: "Trapping Diffusion Model for Glass Transition and Slow Dynamics in Supercooled Liquids" Physica A. 204. 464-481 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Odagaki: "The Role of Molecular Dynamics Simulations for the Study of Slow Dynamics" Mol.Sim. 12. 299-304 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] S.Kambayashi: "Molecular-Dynamics Study of Dynamical Properties of Dense Soft-Sphere Fluids:" Phys.Rev.E. 49. 1251-1259 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Hasegawa: "Dynamical Properties of Condensed Charged Polymer Melts" Mol.Sim.12. 356-381 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Muranaka: "Molecular-Dynamics Study of the Diffusion of Hydrogen in Solid Palladium" Mol.Sim.12. 329-341 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 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.Letters. 73. 2452-2455 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Odagaki: "Slow Gynamics in Supercooled Liquids" Phys.Rev.E. 49. 3150-3158 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Muranaka: "A Study of the β Relaxation in a Highly Supercooled State via Molecular-Dynamics Simulation" Phys.Rev.E. (印刷中).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] S.Itoh: "Dynamical Singularity of the Glass Transition on Molten Lithium Iodide" Proc.LAM8. (印刷中).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 樋渡保秋: "ガラス転移研究の最近の発展" 計算物理学ニュースレター. 7. 18-29 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 樋渡保秋: "分子動力学法を用いた複雑系の研究" 第15回日本熱物性シンポジウム. 385-388 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] S.Kambayashi: "Numerical Calculation of the Bridge Function for Soft-Sphere Supercooled Fluids via Molecular Dynamics Simulations" Mol.Sim.12. 421-430 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Odagaki: "Glass Transition Singularities and Slow Dynamics" Proc.MRS meetings. (印刷中).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Hiwaatri: "Slow Dynamics in Supercooled Fluid" J.Mol.Liquids. (印刷中).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Hiwatari: "Molecular-Dynamics Study of Supercooled Liquids and the Theory of the Glass Transition" J.Phys.Soc.Jpn.Supplement. (印刷中).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] J.Habasaki et.al.: "Glass Transition Temperatures Studied by MD Simulation of Some Alkali Metasilicates" Mol.Sim.10. 19-26 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] M.Takasu et.al.: "Numerical Studies of Electron Transfer" Proc.CAMSE'92. 375-378 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] J.Habasaki et.al.: "A Molecular-Dynamics Study on the Liquid-Glass Transition in Alkali Metasilicates" Proc.CAMSE'92. 251-254 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Hiwatari, et.al.: "Study on Slow Dynamics of Highly Supercooled Liquids and the Liquid-Glass Transition via Molecular Dynamics Simulation" Proc.CAMSE'92. 241-246 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] S.Itoh et.al.: "Dynamical Singularity of the Glass Transition in Molten Lithium Iodide" J.Non-Cryst.Solids. 156-158. 559-563 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] J.Matsui et.al.: "Calculation of the Generalized Susceptibility for a Highly Supercooled Fluid through Molecular-Dynamics Simulation" Mol.Sim.12. 305-316 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Hiwatari et.al.: "Study of the alpha and beta relaxations in a Supercooled Fluid via Molecular-Dynamics Simulation" Physica. A204. 306-327 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] K.Uehara et.al.: "Molecular-Dynamics Simulations for the Density Autocorrelation Function in a Supercooled Fluid Phase" Mol.Sim.12. 253-270 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Odagaki et.al.: "Trapping Diffusion Model for Glass Transition and Slow Dynamics in Supercooled Liquids" Physica. A204. 464-481 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Odagaki et.al.: "The Role of Molecular Dynamics Simulations for the Study of Slow Dynamics" Mol.Sim.12. 299-304 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] S.Kambayashi et.al.: "Molecular-Dynamics Study of Dynamical Properties of Dense Soft-Sphere Fluids : The Role of Short-Range Repulsion of the Intermolecular Potential" Phys.Rev.E49. 1251-1259 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Hasegawa et.al.: "Dynamical Properties of Condensed Charged Polymer Melts" Mol.Sim.12. 365-381 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Muranaka et.al.: "Molecular-Dynamics Study of the Diffusion of Hydrogen in Solid Palladium" Mol.Sim.12. 329-341 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] J.Matsui et al.: "Study of the Slow Dynamics in a Highly Supercooled Fluid : Super-Long-Time Molecular Dynamics Calculation of the Generalized Susceptibility" Phys.Rev.Letters. 73. 2452-2455 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Odagaki et.al.: "Slow Dynamics in Supercooled Liquids" Phys.Rev.E49. 3150-3158 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Muranaka et.al.: "A Study of the beta Relaxation in a Highly Supercooled State via Molecular-Dynamics Simulatio" Phys.Rev.E. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] S.Itoh et.al.: "Dynamical Singularity of the Glass Transition on Molten Lithium Iodide" Proc.LAM8. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] S.Kambayashi et.al.: "Numerical Calculation of t Bridge Function for Soft-Sphere Supercooled Fluids via Molecular Dynamics Simulations" Mol.Sim.12. 421-430 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Odagaki et.al.: "Glass Transition Singularities and Slow Dynamics" Proc.MRS Meetings. (in press). (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Hiwatari et.al.: "Slow Dynamics in Supercooled Flu" J.Mol.Liquids. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Hiwatari et.al.: "Molecular-Dynamics Study of Supercooled Liquids and the Theory of the Glass Transition" J.Phys.Soc.Jpn.Supplement. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] M.Takasu: "Relaxation of Quantum Systems in a Fluctuating Medium" , in Quantum Monte Carlo Methods in Condensed Matter Physics, ed.M.Suzuki. World Scientific, Singapole, 355-368 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Hiwatari: "Study of the α and β relaxations in a Supercooled fluid via Molecular‐Dynamics Simulations" Physica. A204. 306-327 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] K.Uehara: "Molecular‐Dynaimcs Simulations for the Density Autocorrelation Function in a Supercooled Fluid Phase" Molecular Simulation. 12. 253-270 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] T.Odagaki: "Trapping Diffusion Model for Glass Transition and Slow Dynamics in Supercooled Liquids" physica. A204. 464-481 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] T.Odagaki: "The Role of MOlecular Dynamics Simulations for the Study of Slow Dynamics" Molecular Simulation. 12. 299-304 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] S.Kambayashi: "Molecular‐Dvnamics Study of Dynamical Properties of Dense Soft‐Sphcre Fluids:The role of Short‐Range Repulsion of the Intermolecular Potential" physical Review. E49. 1251-1259 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] T.Hasegawa: "Dynamical Properties of Condensed Charged Polyner Melts" Molecular Simulation. 12. 365-381 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] T.Muranaka: "Molecular Dynamics Study of the Diffusion of llydrogen in solid Palladium" Molecular Simulation. 12. 329-341 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] J.Matsui: "Study of the Slow Dynamics in a llighly Supercooled Fluid:Super‐Long‐Time Molecular‐Dynamics Calculation of the Generalized Susceptibility" Physical Review Letters. 73. 2452-2455 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] T.Odagaki: "Slow Dynamics in Supercooled Liquids" Physical Review. E49. 3150-3158 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] S.Itoh: "Dynamical Sinbularity of the Glass Transition on Molten Lithium Iodide" Proceedings of LAM8. (印刷中). (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] T.Odagaki: "Glass Transition Singularities and Slow Dynamics" Proceedings of MRS meeting. (印刷中). (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 樋渡保秋: "ガラス転移研究の最近の発展" 計算物理学ニュースレター. 7. 18-29 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 樋渡保秋: "分子動力学法を用いた複雑系の研究" 第15回日本熱物性シンポジウム論文集. 385-388 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] T.Muranaka: "Suudy of the β‐peak of x″for a Two‐Dimensional Supercooled Fluid State via Molecular Dynamics Simulation" Proc.of the International Symposium on Molecular Simulation. 34-35 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] J.Matsui: "Calculation of the generalized susceptibility for a highly supercooled fluid through molecular-dynamics simulation" Molecular Simulation. (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] J.Habasaki: "Glass transition temperatures studied by MD simulation of some alkali metasilicates" Molecular Simulation. 10. 19-26 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] K.Uehara: "Molecular-dynamics simulations for the density autocorrelation function in a supercooled fluid state" Molecular Simulation. (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] T.Odagaki: "The role of molecular dynamics simulations for the study of slow dynamics" Molecular Simulation. (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] T.Odagaki: "Trapping diffusion model for glass transition and dynamics in supercooled liquids" Physica A. (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] Y.Hiwatari: "Study of the α and β relaxations in a supercooled fluid via molecular-dynamics simulation" Physica A. (1994)

    • Related Report
      1993 Annual Research Report

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Published: 1993-04-01   Modified: 2016-04-21  

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