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Computer Simulations of nonlinear dynamics of entangled polymer liquids

Research Project

Project/Area Number 12640372
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 InstitutionKYOTO UNIVERSITY

Principal Investigator

ONUKI Akira  Deportment of Physics, Kyoto Univ. Professor, 大学院・理学研究科, 教授 (90112284)

Co-Investigator(Kenkyū-buntansha) KITAMURA Hikaru  Deportment of Physics, Kyoto Univ. Research Associate, 大学院・理学研究科, 助手 (60335297)
YAMAMOTO Ryoichi  Deportment of Physics, Kyoto Univ. Lecturer, 大学院・理学研究科, 講師 (10263401)
Project Period (FY) 2000 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 2002: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2001: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2000: ¥1,300,000 (Direct Cost: ¥1,300,000)
KeywordsPolymer / Molecular Dynamics Simulation / Shear Flow / Rheology / Dynamics / Nonlinear / Non equilibrium / Entanglement / シア / 高分子溶融体 / 非線形ダイナミクス / せん断流
Research Abstract

Using molecular dynamics simulations, we study dynamics of a model polymer melt composed of short chains with bead number N=10 in supercooled states. In quiescent conditions, the stress relaxation function is calculated, which exhibits a stretched exponential relaxation on the time scale of the n relaxation time and ultimately follows the Rouse dynamics. In sheared steady states, shear-thinning and elongation of chains into ellipsoidal shapes take place for a strong shear regime. In such strong shear, we find that the chains undergo random tumbling motion taking stretched and compact shapes alternatively.
We next visualized entanglements in polymer melts. In quiescent states, a particle at an entanglement interacts with those belonging to a different chain persistently for long times. Entangled regime on each chain can be identified if the inter-chain interaction energy supported by each particle is averaged over a time interval much longer than monomeric relaxation time. We then apply a shear flow with rate much faster than the entanglement motion. With increasing strain the chains take zigzag shapes with bending taking place at the entangled regions. The chains arc first stretched as a network but disentanglement events subsequently occur, resulting in stress overshoot observed experimentally.

Report

(4 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • Research Products

    (57 results)

All Other

All Publications (57 results)

  • [Publications] A.Onuki: "Nonlinear strain theory of plastic flow in solids"J. Phys. Condens. Matter. 15. S891-S901 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A.Onuki: "Boiling leading to self-organized convection near the gas-liquid critical point"Physica A. 314. 419 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] R.Yamamoto, A.Onuki: "Dynamics and Rheology of a Supercooled Polymer melt in Shear Flow"J. Chem. Phys.. 117. 2359-2367 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A.Furukawa, A.Onuki: "Convective heat transport in compressible fluids"Phys. Rev. E. 66. 016302-1-016302-14 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A.Onuki: "Ginzburg-Landau Theory of Jahn-Teller Phase Transitions"J. Phys. Soc. Jpn.. 70. 3479-3482 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Chiwata, A.Onuki: "Thermal Plumes and Convection in Highly Compressible Fluids"Phys. Rev. Lett.. 87. 144301-1-144301-4 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A.Onuki, A.Furukawa: "Phase Transitions in Binary Alloys with Elastic Inhomogeneity"Phys. Rev. Lett.. 86. 452-455 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] R.Yamamoto: "Simulating particle dispersions in nematic liquid-crystal solvents"Phys. Rev. Lett.. 87. 075502-1-075502-4 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A.Onuki: "Self-Organized Superfluid States in Gravity and Heat Flow"J. Low Temp. Phys.. 151. 117-126 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] R.Yamamoto, A.Onuki: "Large scale long-lived heterogeneity in the dynamics of supercooled liquids"AIP conference proceedings. CP519. 151-157 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] R.Yamamoto, A.Onuki: "Large scale long-lived heterogeneity in the dynamics of supercooled liquids"Int. J. Mod. Phys. C. 10. 1553-1561 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] R.Yamamoto, A.Onuki: "Dynamics of Highly Supercooled Liquids far from Equilibrium"J. Phys. ; Cond. matt.. 12. 6323-6334 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] R.Yamamoto, W.Kob: "Replica-exchange molecular dynamics simulation for supercooled liquids"Phys. Rev. E. 61. 5473-5476 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] R.Yamamoto, K.Kim: "Heterogeneity and finite size effects in the dynamics of supercooled liquids"Journal de Physique IV. 10. 15-20 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kim, R.Yamamoto: "Apparent finite-size effect in the dynamics of supercooled liquids"Phys. Rev. E. 61. R41-R44 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Akira Onuki: "Phase Transition Dynamics"Cambridge University Press. 714 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Onuki: "Nonlinear strain theory of plastic flow in solids"J. Phys. Cndens, Matter 15. S891. (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Onuki: "Boiling leading to self-organized convection near the gas-liquid critical point"Physica A. 314. 419 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] R. Yamamoto, A. Onuki: "Dynamics and Rheology of a Supercooled Polymer melt in shear Flow"J. Chem. Phys. 117. 2359 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Furukawa, A. Onuki: "Convective heat transport in compressible fluids"Phys. Rev.. E66. 016302 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Onuki: "Ginzburg-Landau Theory of Jahn-Teller Phase Transitions"J. Phys. Soc. Jpn. 70. 3479 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Chiwata, A. Onuki: "Thermal Plumes and Convection in Highly Compressible Fluids"Phys. Rev. Lett.. 87. 144301 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Onuki, A. Furukawa: "Phase Transitions in Binary Alloys with Elastic Inhomogeneity"Phys. Rev. Lett.. 86. 452-455 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] R. Yamamoto: "Simulating particle dispersions in nematic liquid-crystal solvents"Phys. Rev. Lett.. 87. 075502 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Onuki: "Self-Organized Superfluid States in Gravity and Heat Flow"J. Low Temp. Phys.. 151. 117-126 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] R. Yamamoto, A. Onuki: "Dynamics and Rheology of a Supercooled Polymer Melt"AIP conference proceedings. CP519. 151-157 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] R. Yamamoto, A. Onuki: "Large scale long-lived heterogeneity in the dynamics of supercooled liquids"Int. J. Mod. Phys. C. 10. 1553-1561 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] R. Yamamoto, A. Onuki: "Dynamics of Highly Supercooled Liquids far from Equilibrium"J. Phys : Cord. Matt.. 12. 6323-6334 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] R. Yamamoto, W. Kob: "Replica-exchange molecular dynamics simulation for supercooled liquids"Phys. Rev.. E61. 5473-5476 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] R. Yamamoto, K. Kim: "Heterogeneity and finite size effects in the dynamics of supercooled liquids"Journal de Physique. IV 10. 15-20 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K. Kim, R. Yamamoto: "Apparent finite-size effect in the dynamics of supercooled liquids"Phys. Rev.. E61. R41-R44 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] W. Kob, C. Brangian, T. Stuhn, R. Yamamoto, Ed. D. P. Landau, S. P. Lewis, H. B. Schuttler: "Equilibrating Glassy Systems with Parallel Tempering, in Computer Simulation Studies in Condensed Matter Physics XIII"Springer. 153 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Onuki, A. Furukawa, edited by P. E. A. Turch and A. Gonis: "Elastic Misfit Effects in Phase Transitions in Solids, in Phase Transformations and Evolution in Materials"TMS (TMS SIAM). 221 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A.Onuki: "Nonlinear strain theory of plastic flow in solids"J. Phys. Condens. Matter. 15. S891-S901 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] A.Onuki: "Boiling leading to self-organized convection near the gas-liquid critical point"Physica A. 314. 419 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] R.Yamamoto, A.Onuki: "Dynamics and Rheology of a Supercooled Polymer melt in Shear Flow"J. Chem. Phys.. 117. 2359-2367 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] A.Furukawa, A.Onuki: "Convective heat transport in compressible fluids"Phys. Rev. E. 66. 016302-1-016302-14 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] A.Onuki: "Ginzburg-Landau Theory of Jahn-Teller Phase Transitions"J. Phys. Soc. Jpn.. 70. 3479-3482 (2001)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Chiwata, A.Onuki: "Thermal Plumes and Convection in Highly Compressible Fluids"Phys. Rev. Lett.. 87. 144301-1-144301-4 (2001)

    • Related Report
      2002 Annual Research Report
  • [Publications] A.Onuki, A.Furukawa: "Phase Transitions in Binary Alloys with Elastic Inhomogeneity"Phys. Rev. Lett. 86. 452-455 (2001)

    • Related Report
      2002 Annual Research Report
  • [Publications] R.Yamamoto: "Simulating particle dispersions in nematic liquid-crystal solvents"Phys. Rev. Lett.. 87. 075502-1-075502-4 (2001)

    • Related Report
      2002 Annual Research Report
  • [Publications] A.Onuki: "Self-Organized Superfluid States in Gravity and Heat Flow"J. Low Temp. Phys.. 151. 117-126 (2000)

    • Related Report
      2002 Annual Research Report
  • [Publications] R.Yamamoto, A.Onuki: "Large scale long-lived heterogeneity in the dynamics of supercooled liquids"AIP conference proceedings. CP519. 151-157 (2000)

    • Related Report
      2002 Annual Research Report
  • [Publications] R.Yamamoto, A.Onuki: "Large scale long-lived heterogeneity in the dynamics of supercooled liquids"Int. J. Mod. Phys. C. 10. 1553-1561 (2000)

    • Related Report
      2002 Annual Research Report
  • [Publications] R.Yamamoto, A.Onuki: "Dynamics of Highly Supercooled Liquids far from Equilibrium"J. Phys. ; Cond. matt.. 12. 6323-6334 (2000)

    • Related Report
      2002 Annual Research Report
  • [Publications] R.Yamamoto, W.Kob: "Replica-exchange molecular dynamics simulation for supercooled liquids"Phys. Rev. E. 61. 5473-5476 (2000)

    • Related Report
      2002 Annual Research Report
  • [Publications] R.Yamamoto, K.Kim: "Heterogeneity and finite size effects in the dynamics of supercooled liquids"Journal de Physique IV. 10. 15-20 (2000)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Kim, R.Yamamoto: "Apparent finite-size effect in the dynamics of supercooled liquids"Phys. Rev. E. 61. R41-R44 (2000)

    • Related Report
      2002 Annual Research Report
  • [Publications] Akira Onuki: "Phase Transition Dynamics"Cambridge University Press. 714 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] A.Onuki: "Ginzburg-Landau Theory of Jahn-Teller Phase Transitions"J. Phys. Soc. Jpn.. 70. 3479-3482 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Y.Chiwata, A.Onuki: "Thermal Plumes and Convection in Highly Compressible Fluids"Phys. Rev. Lett.. 87. 144301-1-144301-4 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] A.Onuki, A.Furukawa: "Phase Transitions in Binary Alloys with Elastic Inhomogeneity"Phys. Rev. Lett.. 86. 452-455 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] R.Yamamoto: "Simulating particle dispersions in nematic liquid-crystal solvents"Phys. Rev. Lett.. 87. 075502-1-075502-4 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] W.Kob, C.Brangian, T.Stuhn, R.Yamamoto: "Equilibrating Glassy Systems with Parallel Tempering"Computer Simulation Studies in Condensed Matter Physics. XIII. 153 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] R.Yamamoto,W.Kob: "Replica-exchange molecular dynamics simulation for supercooled liquids"Physical Review E. 61. 5473-5476 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] W.Kob,C.Brangian,T.Stuhn,R.Yamamoto: "Equilibrating glassy systems with parallel tempering"Computer Simulation Studies in Condensed Matter Physics XIII;Ed.D.P.Landau,S.P Lewis, and H.B.Schuttler (Springer, Berlin,2001). 13. 153-162 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] A.Onuki,A.Furukawa: "Phase transitions of binary alloys with elastic inhomogeneity"Physical Review Letters. 86. 452-455 (2001)

    • Related Report
      2000 Annual Research Report

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Published: 2000-04-01   Modified: 2016-04-21  

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