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

• 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
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥2,720,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥120,000); Fiscal Year 2008: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000); Fiscal Year 2007: ¥2,200,000 (Direct Cost: ¥2,200,000)
• 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 / 粉粒体 / 臨界現象 / 摩擦 / ジャミング

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
• [Journal Article] Scaling properties of granular rheology near the jamming transition (2008)
  • Author(s): Takahiro Hatano
  • Journal Title: J. Phys. Soc. Jpn. 77 Pages: 123002-123002
  • NAID: 110007021647
• [Journal Article] Scaling Properties of Granular Rheology near the Jamming Transition (2008)
  • Author(s): Takahiro Hatano
  • Journal Title: Journal of the Physical Society of Japan 77 Pages: 123002-123002
  • NAID: 110007021647
  • Peer Reviewed
• [Journal Article] Void-induced cross slip of screw dislocations in fcc copper (2008)
  • Author(s): Takahiro Hatano, Tetsuya Kaneko, Yousuke Abe, Hideki Matsui
  • Journal Title: Physical Review B 77 Pages: 64108-64108
  • Peer Reviewed
• [Journal Article] Rheology of a dense granular material (2007)
  • Author(s): Takahiro Hatano
  • Journal Title: J. Phys. Conf. Ser. 89 Pages: 12015-12015
• [Journal Article] Power-law friction in closely-packed granular materials (2007)
  • Author(s): Takahiro Hatano
  • Journal Title: Phys. Rev. E vol. 75
• [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: 23001-23001
  • NAID: 110006203486
• [Journal Article] Criticality and Scaling Relations in a Sheared Granular Material (2007)
  • Author(s): T. Hatano, M. Otsuki, S. Sasa
  • Journal Title: Journal of the Physical Society of Japan 76
  • NAID: 110006203486
  • Peer Reviewed
• [Journal Article] Power-law friction in closely-packed granular materials (2007)
  • Author(s): T. Hatano
  • Journal Title: Physical Review E 75
  • Peer Reviewed
• [Journal Article] Rheology of a dense granular material (2007)
  • Author(s): T. Hatano
  • Journal Title: Journal of Physics: Conference Series 89
  • Peer Reviewed
• [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] 粉体しオロジー、動的不均一、グーテンベルク・リヒター則 (2009)
  • Author(s): 波多野恭弘
  • Organizer: 日本物理学会第64回年次大会
  • Place of Presentation: 立教大学
  • Year and Date: 2009-03-28
• [Presentation] ジャミング転移における動的不均一性のダイナミクスと動的臨界指数 (2009)
  • Author(s): 波多野恭弘
  • Organizer: 日本物理学会第64回年次大会
  • Place of Presentation: 立教大学
  • Year and Date: 2009-03-28
• [Presentation] 熱力学第二法則の非平衡定常状態への拡張に関する研究 (2009)
  • Author(s): 波多野恭弘
  • Organizer: 日本物理学会第64回年次大会
  • Place of Presentation: 立教大学
  • Year and Date: 2009-03-27
• [Presentation] Dynamical heterogeneity in a granular material under stationary shear flow (2009)
  • Author(s): Takahiro Hatano
  • Organizer: Colloids, Grains and Dense Suspensions : under Flow and under Arrest
  • Place of Presentation: the Royal Society (London)
  • Year and Date: 2009-03-09
• [Presentation] The jamming transition : a new kind of phase transition? (2009)
  • Author(s): Takahiro Hatano
  • Organizer: 日仏先端科学シンポジウム
  • Place of Presentation: 湘南国際村センター
  • Year and Date: 2009-01-25
• [Presentation] Friction laws and earthquakes (2009)
  • Author(s): Takahiro Hatano
  • Organizer: 日仏先端科学シンポジウム
  • Place of Presentation: 湘南国際村センター
  • Year and Date: 2009-01-24
• [Presentation] Power-law rheology and the growing correlation length at the jamming transition (2009)
  • Author(s): Takahiro Hatano
  • Organizer: IMA Conference on Dense Granular Flow
  • Place of Presentation: Isaac Newton Institute (Cambridge)
  • Year and Date: 2009-01-05
• [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
• [Presentation] Granular Friction: Constitutive Laws and Particle Dynamics in a Wide Range of Slip Rate (2008)
  • Author(s): Takahiro Hatano
  • Organizer: AGU Fall Meeting 2008
  • Place of Presentation: San Francisco
  • Year and Date: 2008-12-18
• [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] Rheology, relaxation, and critical exponents at the jamming transition (2008)
  • Author(s): Takahiro Hatano
  • Organizer: Unifying Concepts in Glass Physics IV
  • Place of Presentation: 京都大学
  • Year and Date: 2008-11-26
• [Presentation] 粉体層におけるすべり弱化過程と臨界すべり量 : 離散要素シミユレーシヨンによる解析 (2008)
  • Author(s): 波多野恭弘
  • Organizer: 日本地震学会
  • Place of Presentation: エポカルつくば
  • Year and Date: 2008-11-24
• [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 : from stable flow to unstable sliding (2008)
  • Author(s): Takahiro Hatano
  • Organizer: Frontiers of Glassy Physics
  • Place of Presentation: 京都大学
  • Year and Date: 2008-11-20
• [Presentation] ジャミング転移点近傍における異常な緩和と動的臨界指数 (2008)
  • Author(s): 波多野恭弘
  • Organizer: 日本物理学会2008年秋季大会
  • Place of Presentation: 岩手大学
  • Year and Date: 2008-09-20
• [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] Dense granular rheology : scaling laws and critical exponents (2008)
  • Author(s): Takahiro Hatano
  • Organizer: Dynamical Heterogeneities in Glasses, Colloids and Granular Media
  • Place of Presentation: Lorentz center (Leiden)
  • Year and Date: 2008-09-03
• [Presentation] 粉体層の高速摩擦に関する離散要素シミユレーション (2008)
  • Author(s): 波多野恭弘
  • Organizer: 日本地球惑星科学連合大会
  • Place of Presentation: 幕張メツセ
  • Year and Date: 2008-05-26
• [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
• [Presentation] Rheology and friction in dense granular materials: discrete simulation of plane shear flow in three dimensions (2007)
  • Author(s): T. Hatano
  • Organizer: STATPHYS23
  • Place of Presentation: ジェノバ、イタリア
  • Year and Date: 2007-07-12
• [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)
• [Remarks]
  • URL: http://www.eri.u-tokyo.ac.jp/hatano/jamming1.html