Theoretical and numerical study on the noniinear rheology of dense granular matter

2008 Fiscal Year Final Research Report

• Project/Area Number: 19740233
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: The University of Tokyo
• Principal Investigator: HATANO Takahiro The University of Tokyo, 地震研究所, 助教 (20360414)
• Project Period (FY): 2007 – 2008
• Keywords: レオロジー / 粉体 / 離散要素法 / ジャミング転移 / 非平衡・非線形物理学

Research Abstract

固体地球科学や化学工学などにおいて重要な、高密度粉体の流動を記述する法則(レオロジー)を理論とシミュレーションによって解明した。とくに、降伏応力発生に伴う2次相転移(ジャミング転移)に伴う臨界現象に注目することにより、高密度粉体レオロジーを臨界現象の理論で記述することに成功した。さらに粒子の協同運動を定量化し、その相関員がベキ的に成長していくこと、およびレオロジーヘの影響を解明した。

Research Products

• [Journal Article] Growing length and time scales in a suspension of athermal particles (2009)
  • Author(s): Takahiro Hatano
  • Journal Title: Phys. Rev. E 79 Pages: 050301(R)
• [Journal Article] Scaling properties of granular rheology near the jamming transition (2008)
  • Author(s): Takahiro Hatano
  • Journal Title: J. Phys. Soc. Jpn. 77 Pages: 123002
• [Journal Article] Rheology of a dense granular material (2007)
  • Author(s): Takahiro Hatano
  • Journal Title: J. Phys. Conf. Ser. 89 Pages: 012015
• [Journal Article] Power-law friction in closely-packed granular materials (2007)
  • Author(s): Takahiro Hatano
  • Journal Title: Phys. Rev. E vol. 75 Pages: 060301(R)
• [Journal Article] Criticality and scaling relations in a sheared granular material (2007)
  • Author(s): Takahiro Hatano, Michio Otsuki, Shin-ichi Sasa
  • Journal Title: J. Phys. Soc. Jpn. 76 Pages: 023001
• [Presentation] The jamming transition : a new kind of phase transition?(招待講演) (2009)
  • Author(s): T. Hatano
  • Organizer: Japanese-French Frontiers of Science Symposium
  • Place of Presentation: Shonan Village Center
  • Year and Date: 20090124-26
• [Presentation] 粉体レオロジー、動的不均一、グーテンベルク・リヒター則(招待講演) (2009)
  • Author(s): 波多野恭弘
  • Organizer: 日本物理学会第64回年次大会シンポジウム「ジャミング転移」
  • Place of Presentation: 立教大学
  • Year and Date: 2009-03-28
• [Presentation] Rheology, relaxation, and critical exponents at the jamming transition(招待講演) (2008)
  • Author(s): T. Hatano
  • Organizer: Unifying Concepts in Glass Physics IV
  • Place of Presentation: Kyoto University
  • Year and Date: 2008-11-26
• [Presentation] Dense granular rheology : from stable flow to unstable sliding(招待講演) (2008)
  • Author(s): T. Hatano
  • Organizer: Frontiers of Glassy Physics
  • Place of Presentation: Kyoto University
  • Year and Date: 2008-11-20
• [Presentation] Dense granular rheology : scaling laws and critical exponents(招待講演) (2008)
  • Author(s): T. Hatano
  • Organizer: Dynamical Heterogeneities in Glasses, Colloids and Granular Media
  • Place of Presentation: Lorentz Center, Leiden
  • Year and Date: 2008-09-03
• [Presentation] Rheology of a Dense Granular Material(招待講演) (2007)
  • Author(s): T. Hatano
  • Organizer: Unifying Concepts of Glass Transition
  • Place of Presentation: Kyushu University
  • Year and Date: 2007-11-24
• [Remarks] 日本物理学会若手奨励賞受賞(平成21年3月)
• [Remarks] 新聞報道1件(科学新聞12月18日付)
• [Remarks] 招待講演8件(うち国際会議5件)