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Nonlinear rheology and the cooperative motion of particles at jamming/glass transitions

Research Project

Project/Area Number 21740286
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionThe University of Tokyo

Principal Investigator

TAKAHIRO Hatano  The University of Tokyo, 地震研究所, 特任助教 (20360414)

Project Period (FY) 2009 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Keywords粉体 / レオロジー / ジャミング転移 / 動的不均一 / ガラス転移 / ジャミング / 動的不均一性 / 臨界現象
Research Abstract

Jamming transition is a rigidity transition of athermal particles, which closely resembles critical phenomena. However, there is no spontaneous symmetry-breaking and the random structure is frozen upon the transition. In this sense, it is believed that jamming transition is closely related glass transitions, although the quantitative correspondence is not clear so far. We perform a numerical simulation to clarify the nature of growing correlation in the particle motion at jamming transition. We identify power-law divergences of the correlation length and time and estimate the critical exponent.

Report

(3 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • Research Products

    (61 results)

All 2012 2011 2010 2009 Other

All Journal Article (9 results) (of which Peer Reviewed: 4 results) Presentation (51 results) Remarks (1 results)

  • [Journal Article] Constitutive law of dense granular matter2011

    • Author(s)
      Takahiro Hatano
    • Journal Title

      J.Phys.Conf.Ser.

      Volume: 258 Pages: 12006-12006

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Constitutive law of dense granular matter2010

    • Author(s)
      Takahiro Hatano
    • Journal Title

      J.Phys.Conf.Ser. vol.258

      Pages: 12006-12006

    • Related Report
      2010 Final Research Report
  • [Journal Article] Critical scaling of granular rheology2010

    • Author(s)
      Takahiro Hatano
    • Journal Title

      Prog.Theor.Phys. Suppl.184

      Pages: 143-143

    • NAID

      110007703084

    • Related Report
      2010 Final Research Report
  • [Journal Article] Critical scaling of granular rheology2010

    • Author(s)
      Takahiro Hatano
    • Journal Title

      Prog.Theor.Phys.Suppl.

      Volume: 184 Pages: 143-152

    • NAID

      110007703084

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Critical slip distance in granular layers2009

    • Author(s)
      Takahiro Hatano
    • Journal Title

      Geophys.Res.Lett. 36

    • Related Report
      2010 Final Research Report
  • [Journal Article] Growing length and time scales in a suspension of athermal particles2009

    • Author(s)
      Takahiro Hatano
    • Journal Title

      Phys.Rev.E 79

    • Related Report
      2010 Final Research Report
  • [Journal Article] Growing length and time scales in a suspension of athermal particles2009

    • Author(s)
      Takahiro Hatano
    • Journal Title

      Physical Review E

      Volume: 79

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Scaling of the critical slip distance in granular layers2009

    • Author(s)
      Takahiro Hatano
    • Journal Title

      Geophysical Research Letters

      Volume: 36

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Granular friction and microearthquakes2009

    • Author(s)
      Takahiro Hatano
    • Journal Title

      Proceedings of World Tribology Congress 2009

      Pages: 846-846

    • Related Report
      2009 Annual Research Report
  • [Presentation] Derivation of Rate-State Friction Law2012

    • Author(s)
      Takahiro Hatano
    • Organizer
      in Physics of Fracture and Related Problems II
    • Place of Presentation
      東京都文京区
    • Year and Date
      2012-01-18
    • Related Report
      2010 Final Research Report
  • [Presentation] Granular rheology and avalanche statistics2011

    • Author(s)
      Takahiro Hatano
    • Organizer
      12th Continuum Models and Discrete Systems
    • Place of Presentation
      コルカタ、インド
    • Year and Date
      2011-02-22
    • Related Report
      2010 Annual Research Report
  • [Presentation]2011

    • Author(s)
      Takahiro Hatano
    • Organizer
      12th symposium on Continuum Models and Discrete Systems招待講演
    • Place of Presentation
      コルカタ、インド
    • Related Report
      2010 Final Research Report
  • [Presentation] Some statistical properties of granular avalanche2010

    • Author(s)
      Takahiro Hatano
    • Organizer
      Recent Progress in Physics of Dissipative Particles招待講演
    • Place of Presentation
      京都市
    • Year and Date
      2010-11-24
    • Related Report
      2010 Final Research Report
  • [Presentation] Some statistical properties of granular avalanche2010

    • Author(s)
      Takahiro Hatano
    • Organizer
      Recent Progress in Physics of Dissipative Particles
    • Place of Presentation
      京都大学 (京都市)
    • Year and Date
      2010-11-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] Avalanche statistics of athermal particulate systems under shear2010

    • Author(s)
      T.Hatano
    • Organizer
      in Precursors of Tribological Instabilities and Earthquakes Prediction
    • Place of Presentation
      ベルリン、ドイツ
    • Year and Date
      2010-11-02
    • Related Report
      2010 Final Research Report
  • [Presentation] the b and c values are decreasing functions of shear stress : a model study2010

    • Author(s)
      T.Hatano
    • Organizer
      日本地震学会
    • Place of Presentation
      広島市
    • Year and Date
      2010-10-27
    • Related Report
      2010 Final Research Report
  • [Presentation] Constitutive law of granular matter : numerical and physical experiments2010

    • Author(s)
      Takahiro Hatano
    • Organizer
      the 7th ACES international workshop
    • Place of Presentation
      小樽市
    • Year and Date
      2010-10-07
    • Related Report
      2010 Final Research Report
  • [Presentation] 摩擦による粉砕に関する簡単な理論2010

    • Author(s)
      波多野恭弘
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      堺市
    • Year and Date
      2010-09-24
    • Related Report
      2010 Final Research Report
  • [Presentation] せん断変形を受ける非弾性粒子系におけるクラックリングノイズ2010

    • Author(s)
      波多野恭弘
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      堺市
    • Year and Date
      2010-09-24
    • Related Report
      2010 Final Research Report
  • [Presentation] Frictional properties of fractal granular matter2010

    • Author(s)
      Takahiro Hatano
    • Organizer
      International Conference on Science of Friction 2010招待講演
    • Place of Presentation
      志摩市
    • Year and Date
      2010-09-17
    • Related Report
      2010 Final Research Report
  • [Presentation] Comminution of granular matter : scaling and rheology2010

    • Author(s)
      Takahiro Hatano
    • Organizer
      2^<nd> Debrecen Workshop on Statistical Physics of Fracture and other Complex Systems
    • Place of Presentation
      デブレツェン、ハンガリー
    • Year and Date
      2010-09-13
    • Related Report
      2010 Final Research Report
  • [Presentation] On some time scales in athermal particulate systems2010

    • Author(s)
      Takahiro Hatano
    • Organizer
      Dynamics of Glass and Jamming Transitions招待講演
    • Place of Presentation
      プサン市、韓国
    • Year and Date
      2010-09-08
    • Related Report
      2010 Final Research Report
  • [Presentation] On some time scales in dense granular matter2010

    • Author(s)
      Takahiro Hatano
    • Organizer
      Workshop on the Dynamics of the Glass/Jamming Transition
    • Place of Presentation
      釜山、韓国
    • Year and Date
      2010-09-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] A constitutive law for granular friction2010

    • Author(s)
      Takahiro Hatano
    • Organizer
      The 18th European Conference on Fracture
    • Place of Presentation
      ドレスデン、ドイツ
    • Year and Date
      2010-08-30
    • Related Report
      2010 Final Research Report
  • [Presentation] Cooperative motion in sheared granular matter2010

    • Author(s)
      Takahiro Hatano
    • Organizer
      ISSP international workshop on soft matter physics : structural rheology
    • Place of Presentation
      柏市
    • Year and Date
      2010-08-11
    • Related Report
      2010 Final Research Report
  • [Presentation] Cooperativity in dense granular flow: structure and rheology2010

    • Author(s)
      Takahiro Hatano
    • Organizer
      Pacific Rim Conference on Rheology
    • Place of Presentation
      札幌市
    • Year and Date
      2010-08-05
    • Related Report
      2010 Final Research Report
  • [Presentation] Avalanche statistics in slowly sheared granular matter2010

    • Author(s)
      Takahiro Hatano
    • Organizer
      Physics of Fracture and Related Problems
    • Place of Presentation
      東京文京区
    • Year and Date
      2010-07-23
    • Related Report
      2010 Final Research Report
  • [Presentation] Seismicity in athermal particulate systems under shear2010

    • Author(s)
      Takahiro Hatano
    • Organizer
      Deformation, flow, and rupture of soft matter
    • Place of Presentation
      リヨン、フランス
    • Year and Date
      2010-07-09
    • Related Report
      2010 Final Research Report
  • [Presentation] ガウジのフラクタル化に関する簡単な理論2010

    • Author(s)
      波多野恭弘
    • Organizer
      地球惑星科学連合大会
    • Place of Presentation
      千葉市
    • Year and Date
      2010-05-25
    • Related Report
      2010 Final Research Report
  • [Presentation] A simple model for fractalization of fault gouge2010

    • Author(s)
      Takahiro Hatano
    • Organizer
      European Geoscience Union General Assembly 2010
    • Place of Presentation
      ウィーン、オーストリア
    • Year and Date
      2010-05-03
    • Related Report
      2010 Final Research Report
  • [Presentation] 粉体物理・砂礫流動2010

    • Author(s)
      波多野恭弘
    • Organizer
      第二回微小重力地質学研究会招待講演
    • Place of Presentation
      相模原市
    • Year and Date
      2010-03-25
    • Related Report
      2010 Final Research Report
  • [Presentation] 粉体物理・砂礫流動2010

    • Author(s)
      波多野恭弘
    • Organizer
      第二回微小重力地質学研究会
    • Place of Presentation
      宇宙航空研究開発機構相模原キャンパス(相模原市)
    • Year and Date
      2010-03-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] 粉体の静止構造に埋まった空間構造2010

    • Author(s)
      波多野恭弘
    • Organizer
      日本物理学会年次大会
    • Place of Presentation
      岡山市
    • Year and Date
      2010-03-22
    • Related Report
      2010 Final Research Report
  • [Presentation] 粉体の静止構造に埋まった空間構造2010

    • Author(s)
      波多野恭弘
    • Organizer
      日本物理学会年次大会
    • Place of Presentation
      岡山大学(岡山市)
    • Year and Date
      2010-03-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] 粉体レオロジーと動的不均一性2010

    • Author(s)
      波多野恭弘
    • Organizer
      古典および量子ダイナミクス・非平衡統計力学に関するワークショップ招待講演
    • Place of Presentation
      東京都文京区
    • Year and Date
      2010-02-13
    • Related Report
      2010 Final Research Report
  • [Presentation] 粉体レオロジーと動的不均一性2010

    • Author(s)
      波多野恭弘
    • Organizer
      古典および量子ダイナミクス・非平衡統計力学に関するワークショップ
    • Place of Presentation
      東京大学(東京都文京区)
    • Year and Date
      2010-02-13
    • Related Report
      2009 Annual Research Report
  • [Presentation] Scaling of the critical slip distance in granular layers2009

    • Author(s)
      Takahiro Hatano
    • Organizer
      AGU Fall Meeting
    • Place of Presentation
      サンフランシスコ、アメリカ合衆国
    • Year and Date
      2009-12-17
    • Related Report
      2010 Final Research Report
  • [Presentation] Scaling of the critical slip distance in granular layers2009

    • Author(s)
      Takahiro Hatano
    • Organizer
      AGU Fall Meeting
    • Place of Presentation
      Moscone Center, San Francisco USA
    • Year and Date
      2009-12-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] 粉体の摩擦法則と地震破壊のダイナミクス2009

    • Author(s)
      波多野恭弘
    • Organizer
      愛知教育大学シンポジウム・摩擦の科学
    • Place of Presentation
      名古屋市
    • Year and Date
      2009-12-04
    • Related Report
      2010 Final Research Report
  • [Presentation] 粉体の摩擦法則と地震破壊のダイナミクス2009

    • Author(s)
      波多野恭弘
    • Organizer
      愛知教育大学シンポジウム・摩擦の科学
    • Place of Presentation
      名古屋国際会議場(名古屋市)
    • Year and Date
      2009-12-04
    • Related Report
      2009 Annual Research Report
  • [Presentation] 粉体せん断流における速度揺らぎの空間構造とレオロジー2009

    • Author(s)
      波多野恭弘
    • Organizer
      九州大学応用力学研究所共同利用研究会
    • Place of Presentation
      春日市
    • Year and Date
      2009-11-13
    • Related Report
      2010 Final Research Report
  • [Presentation] 粉体せん断流における速度揺らぎの空間構造とレオロジー2009

    • Author(s)
      波多野恭弘
    • Organizer
      九州大学応用力学研究所共同利用研究会
    • Place of Presentation
      九州大学応用力学研究所(春日市)
    • Year and Date
      2009-11-13
    • Related Report
      2009 Annual Research Report
  • [Presentation] 粉体層における臨界すべり長のスケーリング2009

    • Author(s)
      波多野恭弘
    • Organizer
      日本地震学会秋季大会
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2009-10-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] フラクタル粒子系のジャミング:応力鎖と剛性2009

    • Author(s)
      波多野恭弘
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      熊本市
    • Year and Date
      2009-09-26
    • Related Report
      2010 Final Research Report
  • [Presentation] フラクタル粒子系のジャミング:応力鎖と剛性2009

    • Author(s)
      波多野恭弘
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      熊本大学(熊本市)
    • Year and Date
      2009-09-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] 粉体層の動摩擦に関する実験:摩擦係数の速度依存性を中心に2009

    • Author(s)
      桑野修、安藤亮介、波多野恭弘
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      熊本市
    • Year and Date
      2009-09-25
    • Related Report
      2010 Final Research Report
  • [Presentation] 粉体層の動摩擦に関する実験:摩擦係数の速度依存性を中心に2009

    • Author(s)
      波多野恭弘
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      熊本大学(熊本市)
    • Year and Date
      2009-09-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] Granular friction and microearthquakes2009

    • Author(s)
      Takahiro Hatano
    • Organizer
      World Tribology Congress 2009招待講演
    • Place of Presentation
      京都市
    • Year and Date
      2009-09-11
    • Related Report
      2010 Final Research Report
  • [Presentation] Granular friction and microearthquakes2009

    • Author(s)
      Takahiro Hatano
    • Organizer
      World Tribology Congress 2009
    • Place of Presentation
      京都国際会館(京都市)
    • Year and Date
      2009-09-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] 断層レオロジーと地震のスケーリング2009

    • Author(s)
      波多野恭弘
    • Organizer
      日本流体力学会年会
    • Place of Presentation
      東京都文京区
    • Year and Date
      2009-09-03
    • Related Report
      2010 Final Research Report
  • [Presentation] 断層レオロジーと地震のスケーリング2009

    • Author(s)
      波多野恭弘
    • Organizer
      日本流体力学会年会
    • Place of Presentation
      東洋大学(東京都文京区)
    • Year and Date
      2009-09-03
    • Related Report
      2009 Annual Research Report
  • [Presentation] Granular rheology and Cooperative motion of grains2009

    • Author(s)
      Takahiro Hatano
    • Organizer
      Frontiers in Nonequilibrium Physics : Fundamental Theory, Glassy & Granular Materials, and Computational Physics招待講演
    • Place of Presentation
      京都市
    • Year and Date
      2009-07-24
    • Related Report
      2010 Final Research Report
  • [Presentation] Granular rheology and Cooperative motion of grains2009

    • Author(s)
      Takahiro Hatano
    • Organizer
      Frontiers in Nonequilibrium Physics
    • Place of Presentation
      京都大学基礎物理学研究所(京都市)
    • Year and Date
      2009-07-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] 粉体の摩擦法則:離散要素シミュレーションによる高速領域における臨界すべり量2009

    • Author(s)
      波多野恭弘
    • Organizer
      日本地球惑星科学連合大会
    • Place of Presentation
      千葉市
    • Year and Date
      2009-05-18
    • Related Report
      2010 Final Research Report
  • [Presentation] 粉体の摩擦法則:離散要素シミュレーションによる高速領域における臨界すべり量2009

    • Author(s)
      波多野恭弘
    • Organizer
      日本地球惑星科学連合大会
    • Place of Presentation
      幕張メッセ(千葉市)
    • Year and Date
      2009-05-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] Granular friction : constitutive law and slip weakening mechanism2009

    • Author(s)
      Takahiro Hatano
    • Organizer
      European Geoscience Union General Assembly 2009
    • Place of Presentation
      ウィーン、オーストリア
    • Year and Date
      2009-04-24
    • Related Report
      2010 Final Research Report
  • [Presentation] Granular fristion : constitutive law and slip weakening mechanism2009

    • Author(s)
      Takahiro Hatano
    • Organizer
      European Geoscience Union General Assembly
    • Place of Presentation
      オーストリアセンター(ウィーン)
    • Year and Date
      2009-04-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] 粉体層における臨界すべり長のスケーリング

    • Author(s)
      波多野恭弘
    • Organizer
      日本地震学会秋季大会
    • Place of Presentation
      京都市
    • Related Report
      2010 Final Research Report
  • [Presentation] マクロ粒子系の流れにおける動的不均一性のダイナミクス

    • Author(s)
      波多野恭弘
    • Organizer
      非平衡系の物理
    • Place of Presentation
      京都市
    • Related Report
      2010 Final Research Report
  • [Presentation] 岩石の高速摩擦特性に関する実験

    • Author(s)
      桑野修、波多野恭弘
    • Organizer
      日本物理学会第66回年次大会
    • Place of Presentation
      新潟市
    • Related Report
      2010 Final Research Report
  • [Remarks] ホームページ等

    • URL

      http://www.eri.u-tokyo.ac.jp/hatano/jamming.html

    • Related Report
      2010 Final Research Report

URL: 

Published: 2009-04-01   Modified: 2016-04-21  

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