A statistical-physics study of supercooled liquids and glass transitions in complex systems

2008 Fiscal Year Self-evaluation Report

• Project/Area Number: 18540363
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Tohoku University
• Principal Investigator: TOKUYAMA Michio Tohoku University, 原子分子材料科学高等研究機構, 教授 (40175477)
• Project Period (FY): 2006 – 2009
• Keywords: ガラス転移 / 複雑系 / 非線形緩和現象

Research Abstract

本研究課題の目的は, 様々な複雑系において観測されるガラス転移現象のメカニズムを理解する為の統計物理学的基礎理論の構築である. 現在下記が遂行中である.
(1) スーパーコンピュータによる, 様々な異なる体系での大規模計算機実験.
(2) 研究代表者により最近提案された分子場理論による, 実験およびシミュレーションデータの統一的観点からの解析
(3) 森射影演算子法に代わる, 徳山森射影演算子法を用いた新しいモード結合理論の構築.

Research Products

• [Journal Article] A statistical-mechanical theory of self-diffusion in glass-forming liquids (2008)
  • Author(s): M. Tokuyama
  • Journal Title: Physica A 387 Pages: 5003-5011
  • Peer Reviewed
• [Journal Article] Test of the mode-coupling theory near the colloidal glass transition by extensive Brownian-dynamics simulations (2008)
  • Author(s): M. Tokuyama, and Y. Kimura
  • Journal Title: Physica A 387 Pages: 4749-4754
  • Peer Reviewed
• [Journal Article] A statistical-mechanical theory of self-diffusion in colloidal suspensions--application to colloidal glass transitions (2008)
  • Author(s): M. Tokuyama
  • Journal Title: Physica A 387 Pages: 4015-4032
  • Peer Reviewed
• [Journal Article] Comparison of the Tokuyama--Mori type projection operator method to that of Mori type near the glass transition (2008)
  • Author(s): M. Tokuyama
  • Journal Title: Physica A 387 Pages: 1926-1936
  • Peer Reviewed
• [Journal Article] Similarities in diversely different glass-forming systems (2007)
  • Author(s): M. Tokuyama
  • Journal Title: Physica A 378 Pages: 157-166
  • Peer Reviewed
• [Journal Article] Mapping from a fragile glass-forming system to a simpler one near their glass transitions (2007)
  • Author(s): M. Tokuyama, T. Narumi, E. Kohira,
  • Journal Title: Physica A 385 Pages: 439-455
  • Peer Reviewed
• [Journal Article] How Different is a Hard-Sphere Fluid from a Suspension of Hard-Sphere Colloids near the Glass Transitions (2007)
  • Author(s): M. Tokuyama, and Y. Terada
  • Journal Title: Physica A 375 Pages: 18-36
  • Peer Reviewed
• [Journal Article] Mean-Field Theory of Glass Transitions (2006)
  • Author(s): M. Tokuyama
  • Journal Title: Physica A 364 Pages: 23-62
  • Peer Reviewed
• [Presentation] Self-diffusion in multi-component glass-forming systems (2009)
  • Author(s): 徳山道夫
  • Organizer: WIP Annual Workshop 2009
  • Place of Presentation: 宮城蔵王
  • Year and Date: 2009-03-03
• [Presentation] Mean-Field Theory of Glass Transitions (2009)
  • Author(s): 徳山道夫
  • Organizer: Conference on Innovative Nanoscale Approach to Dynamic Studies of Materials
  • Place of Presentation: 沖縄
  • Year and Date: 2009-01-09
• [Presentation] Universal Behavior near the Glass Transitions in Fragile Glass-Forming Systems (2007)
  • Author(s): M. Tokuyama
  • Organizer: The 5th International Workshop on Complex Systems
  • Place of Presentation: 仙台
  • Year and Date: 2007-09-25
• [Presentation] Mean-Field Theory of Glass Transitions (2006)
  • Author(s): 徳山道夫
  • Place of Presentation: Portland, Maine, USA
  • Year and Date: 2006-10-09
• [Book] Complex Systems (2008)
  • Author(s): M. Tokuyama, I. Oppenheim, and H. Nishiyama
  • Total Pages: 1-829
  • Publisher: American Institute of Physics CP982
• [Book] Flow Dynamics (2006)
  • Author(s): M. Tokuyama, and S. Maruyama
  • Total Pages: 1-604
  • Publisher: American Institute of Physics CP832
• [Remarks]
  • URL: http://www.ifs.tohoku.ac.jp/tokuyama-lab/index.html